Govindan Rangarajan - Professor, Dept of Mathematics, IISc
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List of Publications

 

›› Books
›› In Journals
›› In Refereed Conference Proceedings
›› Chapters in Books
›› Presented at Conferences
›› Popular Articles
›› Book Reviews

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Books

  1. G. Rangarajan and M. Ding (editors), Processes with Long Range Correlations: Theory and Applications (Springer-Verlag, Berlin, 2003).

  2. R. L. Bhatia, A. Pal, G. Rangarajan, V. Srinivas and M. Vanninathan (editors), Proceedings of the International Congress of Mathematicians (Hindustan Book Agency, New Delhi, 2010).

    In Journals

  3. A. J. Dragt, F. Neri, G. Rangarajan, D. R. Douglas, L. M. Healy and R. D. Ryne, Lie algebraic treatment of linear and nonlinear beam dynamics, Annual Review of Nuclear and Particle Science 38, 455 (1988).
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  4. G. Rangarajan and K. C. D. Chan, Transverse resistive wall effects on the dynamics of a bunched electron beam, Physical Review A 39, 4749 (1989).
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  5. G. Rangarajan and K. C. D. Chan, Transient state of a bunched electron beam subject to resistive-wall instability, Physical Review A 41, 333 (1990).
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  6. F. Neri and G. Rangarajan, Kinematic moment invariants for linear Hamiltonian systems, Physical Review Letters 64, 1073 (1990).
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  7. V. S. Ramamurthy, A. K. Mohanty, S. K. Kataria and G. Rangarajan, Sub-barrier fusion in a macroscopic model of nuclear shape evolutions, Physical Review C 41, 2702 (1990).
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  8. G. Rangarajan, A. J. Dragt and F. Neri, Solvable map representation of a nonlinear symplectic map, Particle Accelerators 28, 119 (1990).
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  9. G. Rangarajan and K. C. D. Chan, Transient resistive-wall effects of a bunched electron beam in a wiggler, Particle Accelerators 33, 135 (1990).
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  10. A. J. Dragt, F. Neri and G. Rangarajan, General moment invariants for linear Hamiltonian systems, Physical Review A 45, 2572 (1992).
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  11. G. Rangarajan, A. M. Sessler and W. M. Sharp, Discrete cavity model of a standing-wave free-electron laser, Nuclear Instruments and Methods in Physics Research A318, 745 (1992).
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  12. G. Rangarajan and F. Neri, Canonical representations of sp(2n,R), Journal of Mathematical Physics 33, 1247 (1992).
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  13. S. Krishnagopal, G. Rangarajan and A. M. Sessler, Numerical studies of the multi-cavity free-electron laser, Nuclear Instruments and Methods in Physics Research A 331, A22 (1993).
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  14. S. Krishnagopal, G. Rangarajan and A. M. Sessler, The multi-cavity free-electron laser, Optics Communications 100, 518 (1993).
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  15. G. Rangarajan, Symplectic completion of symplectic jets, Journal of Mathematical Physics 37, 4514 (1996).
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  16. G. Rangarajan, Symplectic integration of Hamiltonian systems, Pramana - Journal of Physics 48, 129 (1997).
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  17. G. Rangarajan, Representations of Sp(6,R) and SU(3) carried by homogeneous polynomials, Journal of Mathematical Physics 38, 2710 (1997).
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  18. G. Rangarajan and D. A. Sant, A climate predictability index and its applications, Geophysical Research Letters 24, 1239 (1997).
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  19. G. Rangarajan and M. Sachidanand, Spherical aberration and its correction using Lie algebraic techniques, Pramana - Journal of Physics 49, 635 (1997).
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  20. V. S. Borkar, S. Jain and G. Rangarajan, Dynamics of individual specialization and global diversification in communities, Complexity 3, 50 (1998).
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  21. G. Rangarajan, S. Habib and R. D. Ryne, Lyapunov exponents without rescaling and reorthogonalization, Physical Review Letters 80, 3747 (1998).
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  22. G. Rangarajan, Jolt factorization of the pendulum map, Journal of Physics A: Mathematical and General 31, 3649 (1998).
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  23. V. S. Borkar, S. Jain and G. Rangarajan, Generalized replicator dynamics as a model of specialization and diversity in societies, Advances in Complex Systems 1, 325 (1998).
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  24. T. M. Janaki and G. Rangarajan, Lyapunov exponents for continuous-time dynamical systems, Journal of the Indian Institute of Science 78, 267 (1998).
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  25. V. S. Borkar, S. Jain and G. Rangarajan, Evolutionary games with two time scales, Physica D 125, 155 (1999).
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  26. T. M. Janaki and G. Rangarajan, Dynamic moment invariants for nonlinear Hamiltonian systems, Physical Review E 59, 4577 (1999).
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  27. T. M. Janaki, G. Rangarajan, S. Habib and R. D. Ryne, Computation of Lyapunov spectrum for continuous time dynamical systems and discrete maps, Physical Review E 60, 6614 (1999).
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  28. G. Rangarajan and M. Ding, First passage time distribution for anomalous diffusion, Physics Letters A 273 , 322 (2000).
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  29. G. Rangarajan and M. Sachidanand, Symplectic integration using solvable maps, Journal of Physics A: Mathematical and General 33, 131 (2000).
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  30. G. Rangarajan and M. Ding, Anomalous diffusion and the first passage time problem, Physical Review E 62, 120 (2000).
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  31. G. Rangarajan and D. A. Sant, Paleoclimatic data from 74KL and Guliya cores: New insights, Geophysical Research Letters 27, 787 (2000).
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  32. G. Rangarajan and M. Ding, Integrated approach to the assessment of long range correlation in time series data, Physical Review E 61 4991 (2000).
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  33. G. Rangarajan and M. Ding, First passage time problem for biased continuous-time random walks, Fractals 8, 139 (2000).
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  34. G. Rangarajan, Symplectic integration of Hamiltonian systems using polynomial maps, Physics Letters A 286, 141 (2001).
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  35. G. Rangarajan and M. Ding, Stability of synchronized chaos in coupled dynamical systems, Physics Letters A 296, 204 (2002).
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  36. G. Rangarajan and M. Sachidanand, Invariant metric for nonlinear symplectic maps, Pramana -- Journal of Physics 58, 477 (2002).
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  37. D. A. Sant and G. Rangarajan, Onset of climate change at last Glacial-Holocene transition: Role of the tropical Pacific, Current Science 83, 101 (2002).
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  38. Y. Chen, G. Rangarajan and M. Ding, General stability analysis of synchronized dynamics in coupled systems, Physical Review E 67, 026209 (2003).
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  39. G. Rangarajan, Y. Chen and M. Ding, Generalized Turing patterns and their selective realization in spatiotemporal systems, Physics Letters A 310, 415 (2003).
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  40. G. Rangarajan and M. Ding, First passage distributions for long memory processes, Lecture Notes in Physics 621, 167 (2003).
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  41. T. M. Janaki and G. Rangarajan, Expression for a general element of an SO(n) matrix, International Journal of Mathematics and Mathematical Sciences 2003, 3091 (2003).
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  42. W. A. Truccolo, G. Rangarajan, Y. Chen and M. Ding, Analyzing stability of equilibrium points in neural networks: A general approach, Neural Networks 16, 1453 (2003).
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  43. G. Rangarajan, Polynomial map factorization of symplectic maps, International Journal of Modern Physics C 14, 847 (2003).
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  44. B. S. Daya Sagar, G. Rangarajan and D. Veneziano, Fractals in Geophysics, Chaos, Solitons and Fractals 19, 237 (2004).
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  45. G. Rangarajan and D. A. Sant, Fractal dimensional analysis of Indian climatic dynamics, Chaos, Solitons and Fractals 19, 285 (2004).
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  46. D. A. Sant, K. Krishnan, G. Rangarajan, N. Basavaiah, C. Pandya, M. Sharma and Y. Trivedi, Characterization of flood plain and climate change using multi-proxy records, Journal of Indian Geophysical Union 8, 39 (2004).
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  47. Y. Chen, G. Rangarajan, J. Feng and M. Ding, Analyzing multiple nonlinear time series with extended Granger causality, Physics Letters A 324, 26 (2004).
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  48. Z. Albo, G. V. Di Prisco, Y. Chen, G. Rangarajan, W. Truccolo, J. Feng, R. P. Vertes and M. Ding, Is partial coherence a viable technique for identifying generators of neural oscillations? Biological Cybernetics 90, 318 (2004).
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  49. Y. Chen, G. Rangarajan and M. Ding, Stability of synchronized dynamics and pattern formation in coupled systems: Review of some recent results, Communications in Nonlinear Science and Numerical Simulation 11, 934 (2006).    ›› View PDF

  50. R. E. Amritkar and G. Rangarajan, Spatially synchronous extinction of species under external forcing, Physical Review Letters 96, 258102 (2006). (featured in Physics News Update No. 781, 2006)
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  51. D. A. Sant, G. Rangarajan, K. Krishnan, N. Basavaiah, C. Pandya, M. Sharma and Y. Trivedi, Flood plain record of southwest Indian monsoon during the last glacial, Man and Environment 31, 9 (2006).
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  52. R. Ganapathy, G. Rangarajan and A. K. Sood, Granger causality and cross recurrence plots in rheochaos, Physical Review E 75, 016211 (2007).
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  53. H. Nalatore, M. Ding and G. Rangarajan, Mitigating the effects of measurement noise on Granger causality, Physical Review E 75, 031123 (2007).
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  54. P. Palaniyandi and G. Rangarajan, Critical lattice size limit for synchronized chaotic state in one- and two-dimensional diffusively coupled map lattices, Physical Review E 76, 027202 (2007).
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  55. H. Nalatore, W. Truccolo and G. Rangarajan, Fast robust pattern classification algorithms for real time neuro-motor prosthetic applications, Journal of the Indian Institute of Science 87, 497 (2007).
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  56. M. Dhamala, G. Rangarajan and M. Ding, Estimating Granger causality from Fourier and wavelet transforms of time series data, Physical Review Letters 100, 018701 (2008).
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  57. M. Dhamala, G. Rangarajan and M. Ding, Analyzing information flow in brain networks with nonparametric Granger causality, NeuroImage 41, 354 (2008).
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  58. A. Nedungadi, G. Rangarajan, N. Jain and M. Ding, Analyzing multiple spike trains with nonparametric Granger causality, Journal of Computational Neuroscience 27, 55 (2009).
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  59. H. Nalatore, M. Ding and G. Rangarajan, Denoising neural data with state-space smoothing: Method and application, Journal of Neuroscience Methods 179, 131 (2009).
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  60. H. Nalatore and G. Rangarajan, Short-window spectral analysis using AMVAR and multitaper methods: A comparison, Biological Cybernetics 101, 71 (2009).
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  61. R. E. Amritkar and G. Rangarajan, Stability of multi-cluster synchronization, International Journal of Bifurcation and Chaos 19, 4263 (2009).
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  62. G. Rangarajan and S. Sridharan, Invariant norm quantifying nonlinear content of Hamiltonian systems, Applied Mathematics and Computation 217, 2495 (2010).
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  63. V. S. Borkar, M. K. Ghosh and G. Rangarajan, Application of nonlinear filtering to credit risk, Operations Research Letters 38, 527 (2010).
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  64. S. Ghosh, G. Rangarajan and S. Sinha, Stability of synchronization in a multi-cellular system, Europhysics Letters (EPL) 92, 40012 (2010).
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  65. A. Nedungadi, M. Ding and G. Rangarajan, Block coherence: A method for measuring the interdependence between two blocks of neurobiological time series, Biological Cybernetics 104, 197 (2011).
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  66. P. Sukumaran, I. A. Parvez, D. A. Sant, G. Rangarajan and K. Krishnan, Profiling of Late Tertiary - Early Quaternary surface in the lower reaches of Narmada Valley using microtremors, Journal of Asian Earth Sciences 41, 325 (2011).
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  67. P. Sukumaran, D. A. Sant, K. Krishnan and G. Rangarajan, High resolution facies record on Late Holocene flood plain sediments from lower reaches of Narmada Valley, Western India, Journal of the Geological Society of India 79, 41 (2012).
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  68. V. Resmi, G. Ambika, R. E. Amritkar and G. Rangarajan, Amplitude death in complex networks induced by environment, Physical Review E 85, 046211 (2012).
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  69. G. Mahmoudabadi, K. Rajagopalan, R. H. Getzenberg, S. Hannenhalli, G. Rangarajan and P. Kulkarni, Intrinsically disordered proteins and conformational noise: Implications in cancer, Cell Cycle 12, 26 (2013).
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  70. X. Wen, G. Rangarajan and M. Ding, Multivariate Granger causality: An estimation framework based on factorization of spectral density matrix, Philosophical Transactions of the Royal Society A 371, 20110610 (2013).
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  71. X. Wen, G. Rangarajan and M. Ding, Is Granger causality a viable technique for analyzing fMRI data? PLOS ONE 8, e67428 (2013).
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  72. P. Gade and G. Rangarajan, Frustration induced oscillator death on networks, Chaos 23, 033104 (2013).
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  73. A. Ghosh, D. Paria, G. Rangarajan, and A. Ghosh, Velocity fluctuations in helical propulsion: How small can a propeller be, Journal of Physical Chemistry Letters 5, 62 (2014).
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  74. D. Sampath, K.R. Sabitha, P. Hegde, H. R Jayakrishnan, B. M. Kutty, S. Chattarji, G. Rangarajan, T.R. Laxmi, A study on fear memory retrieval and REM sleep in maternal separation and isolation stressed rats, Behavioural Brain Research 273, 144 (2014).
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  75. H. Nalatore, N. Sasikumar and G. Rangarajan, Effect of measurement noise on Granger causality, Physical Review E 90, 062127 (2014).
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    In Refereed Conference Proceedings

  76. G. Rangarajan and V. S. Ramamurthy, The effect of the neck degree of freedom in sub-barrier fusion, Proceedings of the Nuclear Physics and Solid State Physics Symposium, 26B, 19 (1983).

  77. G. Rangarajan and K. C. D. Chan, Transverse resistive wall instability of a bunched electron beam in a wiggler, Proceedings of the 1988 Linear Accelerator Conference, 370 (1989).

  78. G. Rangarajan, F. Neri and A. J. Dragt, Generalized emittance invariants, Proceedings of the 1989 IEEE Particle Accelerator Conference, 1280 (1989).
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  79. A. J. Dragt, F. Neri, J. v. Zeijts and G. Rangarajan, Release of Marylie 3.0, Proceedings of the 1989 IEEE Particle Accelerator Conference, 1283 (1989).
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  80. W. M. Sharp, G. Rangarajan, A. M. Sessler and J. S. Wurtele, Phase stability of a standing-wave free-electron laser, Proceedings of the SPIE Conference 1407, 535 (1991).

  81. G. Rangarajan, A. J. Dragt and F. Neri, Invariant metrics for Hamiltonian systems, Proceedings of the 1991 IEEE Particle Accelerator Conference, 1630 (1991).
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  82. A. J. Dragt, I. M. Gjaja and G. Rangarajan, Kick factorization of symplectic maps, Proceedings of the 1991 IEEE Particle Accelerator Conference, 1621 (1991).
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  83. G. Rangarajan and Minita Sachidanand, Solvable map method for integrating nonlinear Hamiltonian systems, in Lecture Notes in Computer Science (Proceedings of the International Conference on Computational Science), eds. V. N. Alexandrov, J. J. Dongarra and C. J. K. Tan (Springer-Verlag, Berlin, 2001) 894.

  84. G. Rangarajan, Y. Chen and M. Ding, Synchronized chaotic state: Stability and pattern formation, in Proceedings of the National Conference on Nonlinear Systems & Dynamics, 93 (2003).
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  85. G. Rangarajan, Long term stability studies of particle storage rings using polynomial maps, in Proceedings of the International Conference on Industrial Mathematics, eds. M. C. Joshi, A. K. Pani and S. V. Sabnis, 357 (2006).
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    Chapters in Books

  86. A. J. Dragt, R. L. Gluckstern, F. Neri and G. Rangarajan, Theory of emittance invariants, Lecture Notes in Physics 343, 94 (1989).

  87. G. Rangarajan and A. M. Sessler, Sensitivity studies of a standing-wave free-electron laser, in Advanced Accelerator Concepts, ed. J. S. Wurtele (American Institute of Physics, New York, 1993) p.156.

  88. G. Rangarajan, S. Habib, and R. D. Ryne, A new method for computing Lyapunov exponents, in Nonlinear Dynamics and Brain Functioning, eds. N. Pradhan, P. E. Rapp and R. Sreenivasan (Nova Science Publishers, New York, 1999).

  89. G. Rangarajan, Fractals in geophysics, in Application of Fractals in Earth Sciences, ed. V. P. Dimri (A. A. Balkema Rotterdam, 2000).

  90. G. Rangarajan, Applications of Lie algebraic techniques to nonlinear Hamiltonian systems, in Nonlinear Phenomena, eds. S. K. Malik, M. K. Chandrasekhar and N. Pradhan (Indian National Science Academy, New Delhi, 2000) p. 1015.

  91. G. Rangarajan and M. Sachidanand, An invariant norm for nonlinear Hamiltonian systems, in Nonlinear Systems, eds. M. Lakshmanan and R. Sahadevan (Narosa Publishers, New Delhi, 2002).

  92. V. S. Borkar, S. Jain and G. Rangarajan, Collective behaviour and diversity in economic communities: Some insights from an evolutionary game, in The Application of Econophysics, ed. H. Takayasu (Springer-Verlag, Tokyo, 2003) p. 330.

  93. M. Ding and G. Rangarajan, First passage time problem: A Fokker-Planck approach, in New Directions in Statistical Physics -- Econophysics, Bioinformatics, and Pattern Recognition, ed. L. T. Wille (Springer-Verlag, Berlin, 2004) p. 31.

  94. D. A. Sant and G. Rangarajan, Study of Indian climate variability using predictability indices, in Modern Applied Mathematics, ed. J. C. Misra (Narosa, New Delhi, 2005) p. 145.

  95. M. Ding and G. Rangarajan, Parametric spectral analysis, in Encyclopedia of Computational Neuroscience: SpringerReference, eds. D. Jaeger and R. Jung (Springer-Verlag, Berlin Heidelberg, 2014) (accepted for publication).


    Presented at Conferences and Workshops

  96. G. Rangarajan, V. S. Ramamurthy and S. K. Kataria, Sub-barrier fusion in a two dimensional potential landscape, presented at the International Conference on Nuclear Physics (1984).

  97. R. Kelley, J. Swank, D. Christian and G. Rangarajan, Search for QPO's from x-ray binaries in the energy range 0.6 - 4.5 keV, presented at the 173rd Meeting of the American Astronomical Society (1989).

  98. G. Rangarajan and A. J. Dragt, Symplectic completion of symplectic jets, presented at the University of California Conference on Nonlinear Science (1991).

  99. W. M. Sharp, G. Rangarajan, A. M. Sessler and J. Wurtele, Multi-mode simulation of a standing-wave free-electron laser, presented at the Thirteenth International Free-Electron Laser Conference (1991).

  100. G. Rangarajan, Applications of Lie algebraic techniques to Hamiltonian systems, presented at the Workshop on Nonlinear Waves and Turbulence (1991) (invited talk).

  101. G. Rangarajan and A. J. Dragt, Cremona map factorization of symplectic jets, presented at the International Colloquium on Group Theoretical Methods in Physics (1992).

  102. G. Rangarajan, Numerical integration of nonlinear Hamiltonian systems, presented at the International Conference on Applied Mathematics (1995) (invited talk).

  103. G. Rangarajan, Determination of long-term stability of symplectic maps, presented at the Workshop on Recent Developments in Chaotic Dynamics (1996) (invited talk).

  104. D. A. Sant and G. Rangarajan, Fractal dimensional analysis of climatic time series, presented at the International Conference on Dynamical Systems (1997).

  105. G. Rangarajan, S. Habib and R. D. Ryne, Reliable numerical detection of chaotic behaviour in dynamical systems, presented at the SIAM Conference on Applications of Dynamical Systems (1997).

  106. G. Rangarajan and D. A. Sant, A climate predictability index, presented at the SIAM Conference on Mathematical and Computational Issues in the Geosciences (1997).

  107. G. Rangarajan, Fractals in Geophysics, presented at the Workshop on Applications of Fractals in Earth Sciences (1997) (invited talk).

  108. G. Rangarajan, A new method for computing Lyapunov exponents, presented at the International Conference on Nonlinear Dynamics and Brain Functioning (1998) (invited talk).

  109. G. Rangarajan, Lyapunov exponents without rescaling and reorthogonalization, presented at the International Conference on Nonlinear Dynamics: Integrability and Chaos (1998) (invited talk).

  110. G. Rangarajan, Computation of Lyapunov spectra for continuous-time dynamical systems, presented at the International Congress of Mathematicians (1998).

  111. G. Rangarajan, A new method for computing Lyapunov exponents, presented at the Workshop on Nonlinear Signal Processing (1999) (invited talk).

  112. G. Rangarajan, S. Habib and R. D. Ryne, Lyapunov exponents for continuous-time dynamical systems and discrete maps, presented at the Fifth Experimental Chaos Conference (1999).

  113. G. Rangarajan and M. Ding, A new class of neural interspike interval distribution, presented at the Dynamical Neuroscience VII (1999).

  114. G. Rangarajan, Applications of Lie algebraic techniques to nonlinear Hamiltonian systems, presented at the VIII Ramanujan Symposium on Recent Developments in Nonlinear Systems (2001) (invited talk).

  115. G. Rangarajan, Pitfalls in assessing long range correlation in time series data, presented at the International Workshop on Patterns, Trends, Predictions (2001).

  116. G. Rangarajan, New classes of neural interspike interval distributions, presented at the Symposium on Nonlinear Methods in Neuroscience (2002) (invited talk).

  117. G. Rangarajan, First passage time problems in anomalous diffusion, presented at the 17th Annual Conference of the Ramanujan Mathematical Society (2002) (Prof. M. N. Gopalan endowment lecture).

  118. G. Rangarajan, The beauty of fractals, presented at the Science Festival of Bangalore Science Forum (2002) (Prof. K. Shankar Memorial Lecture).

  119. G. Rangarajan, Stability bounds for synchronized chaos, presented at the Recent Advances in Nonlinear Science (2002) (invited talk).

  120. G. Rangarajan, Symplectic integration of nonlinear Hamiltonian systems using polynomial maps, presented at the International Conference on Foundations of Computational Mathematics -- Geometric Integration and Computational Dynamics (2002) (invited talk).

  121. G. Rangarajan, Collective behaviour and diversity in economic communities, presented at the Second Nikkei Econophysics Research Workshop and Symposium (2002) (invited talk).

  122. G. Rangarajan, Long term stability studies of particle storage rings using polynomial maps, presented at the International Conference on Industrial Mathematics (2002) (invited talk).

  123. G. Rangarajan, Time series analysis of neural signals, presented at the National Academy of Sciences, India Bangalore Chapter Conference (2003) (invited talk).

  124. G. Rangarajan, Stability of equilibrium points in neural networks, presented at the Workshop on Neural Networks (2003) (invited talk).

  125. G. Rangarajan, W. Truccolo, Y. Chen, J.P. Donoghue and M. Ding, Spatiotemporal neural activity in macaque motor cortex during working memory and movement execution, presented at the Society for Neuroscience Meeting (2003).

  126. G. Rangarajan, Synchronization and pattern formation in coupled dynamical systems, presented at the National Workshop on Recent Advances in Mathematics (2004) (invited talk).

  127. G. Rangarajan, Long memory and anomalous diffusion in geophysical processes, presented at European Geosciences Union General Assembly Session on Uncertainty, Random Dynamical Systems and Stochastic Modeling in Geophysics (2004) (invited talk).

  128. G. Rangarajan, Y. Chen and M. Ding, Stabilization and destabilization of the synchronized state in coupled dynamical systems by varying coupling strengths, presented at StatPhys 22 (2004).

  129. G. Rangarajan, Evaluating causal relations among multiple nonlinear time series data, presented at Perspectives in Nonlinear Dynamics (2004).

  130. G. Rangarajan, Time series analysis in neuroscience, presented at Workshop on Computational Neuroscience (2004) (invited talk).

  131. G. Rangarajan, Applications of fractals, presented at the Workshop on Fractal Geometry and Nonlinear Dynamical Systems (2004) (invited talk).

  132. G. Rangarajan, Linear and nonlinear causality measures, presented at the Minimeeting on Stochastic Processes (2004) (invited talk).

  133. G. Rangarajan, Causality measures in neuroscience, presented at the National Conference on Nonlinear Systems and Dynamics (2005) (invited talk).

  134. G. Rangarajan, Synchronization and pattern formation in coupled chaotic systems, presented at the Workshop on Nonlinear Dynamical
    Models and their Behaviour
    (2005) (invited talk).

  135. G. Rangarajan, Time series analysis of neuro signals, presented at the National Seminar on Emerging Trends in Forensic Sciences (2005) (invited talk).

  136. G. Rangarajan, Causality measures in neuroscience, presented at the Workshop on Mathematical Neuroscience (2005) (invited talk).

  137. G. Rangarajan, Spatially synchronous extinction of species under external forcing, presented at the International Conference on Statistical Mechanics of Plasticity and Related Instabilities (2005) (invited talk).

  138. G. Rangarajan, Synchronization and pattern formation in coupled chaotic systems, presented at the Workshop on Applied Mathematics and Advanced Techniques (2005) (invited talk).

  139. G. Rangarajan, Synchronized extinction of species, presented at the National Conference on Applications of Mathematics (2006) (invited talk).

  140. G. Rangarajan, Linear and nonlinear Granger causality, presented at the Workshop on Nonlinear Phenomena and Techniques (2006) (invited talk).

  141. R. E. Amritkar and G. Rangarajan, Spatial synchronization and extinction of species under common external forcing, presented at the International Congress of Mathematicians (2006).

  142. G. Rangarajan, Time series analysis in finance, presented at the Workshop on Quantitative Finance (2006) (invited talk).

  143. G. Rangarajan, Synchronous extinction of species, presented at the International Conference on Assembly, Organization and Propulsion in Complex Systems (2007} (invited talk).

  144. G. Rangarajan, Chaos and synchronization, presented at the Workshop on Recent Trends in Basic Sciences and Mathematics (2007) (invited talk).

  145. G. Rangarajan, Brain-Machine Interface, presented at the Symposium on the Science of Life (2007) (invited talk).

  146. G. Rangarajan, A. Nedungadi and M. Ding, Granger causality analysis of multiple single unit spike trains, presented at the Society for Neuroscience (2007).

  147. G. Rangarajan, Time series analysis using nonparametric Granger causality, presented at the National Conference on Nonlinear Systems and Dynamics (2008) (invited talk).

  148. G. Rangarajan, Stability of synchronized state and its applications, presented at the 15th Ramanujan Symposium on Dynamic Equations (2008) (invited talk).

  149. G. Rangarajan, Time series analysis using nonparametric Granger causality, presented at the Conference on Recent Developments in Nonlinear Dynamics (2008) (invited talk).

  150. G. Rangarajan, Applications of Lie perturbation theory to nonlinear Hamiltonian dynamics, presented at the Workshop on Topological Dynamics and Differential Equations (2008) (invited talk).

  151. G. Rangarajan, Stability of synchronized chaotic state in coupled nonlinear systems, presented at the Workshop on Topological Dynamics and Differential Equations (2008) (invited talk).

  152. G. Rangarajan, Time series analysis using nonparametric Granger causality, presented at the First Indo-Brazilian Symposium on Mathematics (2008) (invited talk).

  153. G. Rangarajan, Time series analysis, presented at the Winter School on Experimental Nonlinear Dynamics (2008) (invited talk).

  154. G. Rangarajan, Chaos and synchronization, presented at the National Meet of Research Scholars in Mathematics and Statistics (2008) (invited talk).

  155. G. Rangarajan, Time series analysis, presented at the SERC School on Nonlinear Dynamics (2009) (invited talk).

  156. G. Rangarajan, Nonlinear Granger causality, presented at the National Seminar on Advances in Nonlinear Systems (2009) (invited talk).

  157. G. Rangarajan, Chaos and synchronization, presented at the National Workshop on Recent Developments in Theoretical Physics and Quantum Computation (2009) (invited talk).

  158. G. Rangarajan, Granger causality, presented at the Irish Summer School on Mathematics (2009) (invited talk).

  159. G. Rangarajan, Brain machine interface, presented at the Workshop on Applications of Nonlinear Dynamics in Engineering and Technology (2009) (invited talk).

  160. G. Rangarajan, Chaos, synchronization and pattern formation, Prof. Abdi Memorial Endowment Lecture, presented at Cochin University of Science and Technology (2009) (invited talk).

  161. G. Rangarajan, Detecting functional connectivity in neuronal networks, presented at the National Symposium on Dynamics on Networks (2009) (invited talk).

  162. G. Rangarajan, Detecting functional connectivity in neuronal networks, presented at the Workshop on Evolution of Complex Systems (2010) (invited talk).

  163. G. Rangarajan, Brain machine interface, presented at the Workshop on Brain Science Awareness (2010) (invited talk).

  164. G. Rangarajan, Time series analysis using Granger causality, presented at the 25th Annual Conference of the Ramanujan Mathematical Society}\ (2010) (plenary talk).

  165. G. Rangarajan, Synchronized extinction of species under external forcing, presented at the Mid-Year Meeting of the Indian Academy of Sciences (2010) (invited talk).

  166. G. Rangarajan, Detecting functional connectivity in neuronal networks, presented at the National Conference on Theoretical Biology and Biomathematics (2010) (invited talk).

  167. G. Rangarajan, Synchronized extinction of species under external forcing, presented at the Symposium on Mathematical Ecology (2010) (invited talk).

  168. G. Rangarajan, Brain machine interface, presented at the D. C. Pavate Foundation Lecture at Karnatak University (2011) (invited talk).

  169. G. Rangarajan, Detecting functional connectivity in neuronal networks, presented at the National Conference on Analysis of Nonlinear Systems (2011) (invited talk).

  170. G. Rangarajan, Granger causality for point processes, presented at the National Conference on Applications In Mathematical Sciences (2011) (invited talk).

  171. G. Rangarajan, Brain machine interface, presented at the KVPY Summer Programme (2011) (invited talk).

  172. G. Rangarajan, Effect of convolution and downsampling on Granger causality, presented at the Second International Symposium on Complex Dynamical Systems and Applications (2012) (invited talk).

  173. G. Rangarajan, Detecting functional connectivity patterns in neuronal data, presented at the Indo-US Workshop on Modeling Electrical Activity in Physiological Systems (2012) (invited talk).

  174. G. Rangarajan, Nonlinear Granger causality, presented at the Workshop on Nonlinear Aspects of Analysis and Algebra (2012) (invited talk).

  175. G. Rangarajan, Brain machine interface, presented at the Workshop on Cognitive Science and Brain Computer Interfaces Technology (2012) (invited talk).

  176. G. Rangarajan, Granger causality and network structure, presented at the International Workshop on Mathematical Modelling and Scientific Computing (2012) (plenary talk).

  177. G. Rangarajan, Detecting functional connectivity in neuronal data, presented at the XXXII Dynamics Days Europe (2012) (invited talk).

  178. G. Rangarajan, Are you connected? Detecting connectivity patterns in networks, IISc Colloquium (2012) (invited talk).

  179. G. Rangarajan, Time series analysis, presented at the Winter School on Analytics and Optimization (2012) (invited talk).

  180. G. Rangarajan, Detecting connectivity patterns in networks, presented at the 17th Ramanujan Symposium on Mathematical Analysis and Applications/ (2012) (invited talk).

  181. G. Rangarajan, Granger causality analysis of fMRI data, presented at the INCF Workshop on Neuroinformatics of Sensory-Motor Integration (2012) (invited talk).

  182. G. Rangarajan, Are you connected? Detecting connectivity patterns in networks, presented at the 100th Indian Science Congress (2013) (Platinum Jubilee Lecture).

  183. G. Rangarajan, Brain machine interface, presented at the Workshop on Cognitive Science and Brain Computer Interface (2013).

  184. G. Rangarajan, Multi-cluster synchronization in dynamical systems, presented at the m Conference on Algebra and Analysis (2013).

  185. G. Rangarajan, Multi-cluster synchronization in dynamical systems, presented at the Conference on Nonlinear Analysis (2013).

  186. G. Rangarajan, Brain machine interface, presented at the Workshop on Robotics and Artificial Intelligence (2013).

  187. G. Rangarajan, Detecting connectivity patterns in networks, presented at the Workshop on Differential Equations and Stochastic Processes (2013).

  188. G. Rangarajan, Functional connectivity from neural data, presented at the International Seminar on Applied Mathematics (2013).

  189. G. Rangarajan, Synchronized chaos: Stability and pattern formation, presented at the Workshop on Nonlinear Differential Equations: Dynamics of Complex Systems (2013).

  190. G. Rangarajan, Nonlinear Granger causality, presented at the Workshop on Non-linear Biomedical Signal Processing (2013).

  191. G. Rangarajan, Analyzing functional connectivity patterns of the brain, presented at the Workshop on The Evolution of Human Cognition (2013).

  192. G. Rangarajan, Analyzing functional connectivity patterns of the brain, presented at the Workshop on Vision and Visual Neuroscience: Basic and Translational (2014).

  193. G. Rangarajan, Are you connected? Detecting connectivity patterns in networks, presented at the National Conference on Recent Advances in Numerical Methods and its Applications (2014).

  194. G. Rangarajan, Invariant norm quantifying nonlinear content of Hamiltonian systems, presented at the Recent Perspectives on Nonlinear Mathematics and its Applications (2014).

  195. G. Rangarajan, What is mathematical biology? presented at the Annual Meeting of the Ramanujan Mathematical Society (2014) (plenary talk)

  196. G. Rangarajan, Invariant norm quantifying nonlinear content of Hamiltonian systems, presented at the Dynamics Days Asia Pacific (2014).

  197. G. Rangarajan, Critical thresholds in cell fate determination, presented at the Third International Conference on Tissue Science and Regenerative Medicine (2014).

  198. G. Rangarajan, Analyzing functional connectivity patterns of the brain, presented at the Workshop on Mathematical Modeling and Data Analysis in Biology (2014).

    Popular Articles

  199. G. Rangarajan, A brief introduction to chaotic behaviour in dissipative systems, Mathematics Newsletter 4, 43 (1994) (invited contribution).

  200. G. Rangarajan, Kolmogorov-Arnold-Moser Theorem, Resonance (Journal of Science Education) 3, no. 4, 43 (1998) (invited contribution).

    Book Reviews

  201. G. Rangarajan, Review of "A Brief Introduction to Numerical Analysis" by E. E. Tyrtyshnikov, Current Science 74, 918 (1998).

  202. G. Rangarajan, Review of "Fractal Geometry in Architecture and Design" by C. Bovill, Journal of the Indian Institute of Science 78, 158 (1998).

  203. G. Rangarajan, Review of "The Computational Beauty of Nature" by Gary William Flake, Journal of the Indian Institute of Science 78, 416 (1998).

  204. G. Rangarajan, Review of "Fractals in Biology and Medicine (Volume II)" by G. A. Losa, D. Merlini, T. F. Nonnenmacher and E. R. Weibel, Current Science 76, 1588 (1999).

  205. G. Rangarajan, Review of "Mathematics and its History" by J. F. Stillwell, Current Science 83 1593 (2002).

  206. G. Rangarajan, Review of "Symmetry in Mechanics" by S. F. Singer, Journal of the Indian Institute of Science 81, 611 (2003).

  207. G. Rangarajan, Review of "Statistical analysis of fMRI data" by F. G. Ashby, Current Science (in press) (2013).

    Most recent revision December 22, 2014


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