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Books
In Journals
In Refereed Conference Proceedings
Chapters in Books
Presented at Conferences
Popular Articles
Book Reviews
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Books
- G. Rangarajan and M. Ding (editors), Processes with Long Range
Correlations: Theory and Applications (Springer-Verlag, Berlin)
(2003).
In Journals
- 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).
View PDF
- 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).
View PDF
- 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).
View PDF
- F. Neri and G. Rangarajan, Kinematic moment invariants for linear
Hamiltonian systems, Physical Review Letters 64, 1073
(1990).
View PDF
- 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).
View PDF
- G. Rangarajan, A. J. Dragt and F. Neri, Solvable map representation
of a nonlinear symplectic map, Particle Accelerators 28,
119 (1990).
View PDF
- G. Rangarajan and K. C. D. Chan, Transient resistive-wall effects
of a bunched electron beam in a wiggler, Particle Accelerators
33, 135 (1990).
View PDF
- A. J. Dragt, F. Neri and G. Rangarajan, General moment invariants
for linear Hamiltonian systems, Physical Review A 45,
2572 (1992).
View PDF
- 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).
View PDF
- G. Rangarajan and F. Neri, Canonical representations of sp(2n,R),
Journal of Mathematical Physics 33, 1247 (1992).
View PDF
- 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).
View PDF
- S. Krishnagopal, G. Rangarajan and A. M. Sessler, The multi-cavity
free-electron laser, Optics Communications 100, 518
(1993).
View PDF
- G. Rangarajan, Symplectic completion of symplectic jets, Journal
of Mathematical Physics 37, 4514 (1996).
View PDF
- G. Rangarajan, Symplectic integration of Hamiltonian systems, Pramana
- Journal of Physics 48, 129 (1997).
View PDF
- G. Rangarajan, Representations of Sp(6,R) and SU(3) carried by homogeneous
polynomials, Journal of Mathematical Physics 38, 2710
(1997).
View PDF
- G. Rangarajan and D. A. Sant, A climate predictability index and
its applications, Geophysical Research Letters 24, 1239
(1997).
View PDF
- G. Rangarajan and M. Sachidanand, Spherical aberration and its correction
using Lie algebraic techniques, Pramana - Journal of Physics
49, 635 (1997).
View PDF
- V. S. Borkar, S. Jain and G. Rangarajan, Dynamics of individual specialization
and global diversification in communities, Complexity 3,
50 (1998).
View PDF
- G. Rangarajan, S. Habib and R. D. Ryne, Lyapunov exponents without
rescaling and reorthogonalization, Physical Review Letters
80, 3747 (1998).
View PDF
- G. Rangarajan, Jolt factorization of the pendulum map, Journal
of Physics A: Mathematical and General 31, 3649 (1998).
View PDF
- 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).
View PDF
- T. M. Janaki and G. Rangarajan, Lyapunov exponents for continuous-time
dynamical systems, Journal of the Indian Institute of Science
78, 267 (1998).
View PDF
- V. S. Borkar, S. Jain and G. Rangarajan, Evolutionary games with
two time scales, Physica D 125, 155 (1999).
View PDF
- T. M. Janaki and G. Rangarajan, Dynamic moment invariants for nonlinear
Hamiltonian systems, Physical Review E 59, 4577 (1999).
View PDF
- 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).
View PDF
- G. Rangarajan and M. Ding, First passage time distribution for anomalous
diffusion, Physics Letters A 273 , 322 (2000).
View PDF
- G. Rangarajan and M. Sachidanand, Symplectic integration using solvable
maps, Journal of Physics A: Mathematical and General 33,
131 (2000).
View PDF
- G. Rangarajan and M. Ding, Anomalous diffusion and the first passage
time problem, Physical Review E 62, 120 (2000).
View PDF
- G. Rangarajan and D. A. Sant, Paleoclimatic data from 74KL and Guliya
cores: New insights, Geophysical Research Letters 27,
787 (2000).
View PDF
- G. Rangarajan and M. Ding, Integrated approach to the assessment
of long range correlation in time series data, Physical Review E
61 4991 (2000).
View PDF
- G. Rangarajan and M. Ding, First passage time problem for biased
continuous-time random walks, Fractals 8, 139 (2000).
View PDF
- G. Rangarajan, Symplectic integration of Hamiltonian systems using
polynomial maps, Physics Letters A 286, 141 (2001).
View PDF
- G. Rangarajan and M. Ding, Stability of synchronized chaos in coupled
dynamical systems, Physics Letters A 296, 204 (2002).
View PDF
- G. Rangarajan and M. Sachidanand, Invariant metric for nonlinear
symplectic maps, Pramana -- Journal of Physics 58,
477 (2002).
View PDF
- 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).
View PDF
- Y. Chen, G. Rangarajan and M. Ding, General stability analysis of
synchronized dynamics in coupled systems, Physical Review E
67, 026209 (2003).
View PDF
- G. Rangarajan, Y. Chen and M. Ding, Generalized Turing patterns and
their selective realization in spatiotemporal systems, Physics
Letters A 310, 415 (2003).
View PDF
- G. Rangarajan and M. Ding, First passage distributions for long memory
processes, Lecture Notes in Physics 621, 167 (2003).
View PDF
- 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).
View PDF
- 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).
View PDF
- G. Rangarajan, Polynomial map factorization of symplectic maps,
International Journal of Modern Physics C 14, 847 (2003).
View PDF
- B. S. Daya Sagar, G. Rangarajan and D. Veneziano, Fractals in Geophysics,
Chaos, Solitons and Fractals 19, 237 (2004).
View PDF
- G. Rangarajan and D. A. Sant, Fractal dimensional analysis of Indian
climatic dynamics, Chaos, Solitons and Fractals 19,
285 (2004).
View PDF
- 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).
View PDF
- Y. Chen, G. Rangarajan, J. Feng and M. Ding, Analyzing multiple nonlinear
time series with extended Granger causality, Physics Letters A
324, 26 (2004).
View PDF
- 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).
View PDF
- 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
- 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)
View PDF
- 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).
View PDF
- R. Ganapathy, G. Rangarajan and A. K. Sood, Granger causality and cross recurrence
plots in rheochaos, Physical Review E 75, 016211
(2007).
View PDF
- H. Nalatore, M. Ding and G. Rangarajan, Mitigating the effects of measurement noise
on Granger causality, Physical Review E 75, 031123 (2007).
View PDF
- 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).
View PDF
- 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).
View PDF
- 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).
View PDF
- M. Dhamala, G. Rangarajan and M. Ding, Analyzing information flow in brain networks with
nonparametric Granger causality, NeuroImage 41, 354 (2008).
View PDF
- A. Nedungadi, G. Rangarajan, N. Jain and M. Ding, Analyzing multiple spike trains with nonparametric
Granger causality, Journal of Computational Neuroscience 27, 55 (2009).
View PDF
- H. Nalatore, M. Ding and G. Rangarajan, Denoising neural data with state-space smoothing: Method and
application, Journal of Neuroscience Methods 179, 131 (2009).
View PDF
- H. Nalatore and G. Rangarajan, Short-window spectral analysis using AMVAR and multitaper methods: A comparison,
Biological Cybernetics 101, 71 (2009) .
View PDF
- R. E. Amritkar and G. Rangarajan, Stability of multi-cluster synchronization, International Journal of Bifurcation
and Chaos (2009) (accepted for publication).
View PDF
In Refereed Conference Proceedings
- 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).
- 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).
- G. Rangarajan, F. Neri and A. J. Dragt, Generalized emittance invariants,
Proceedings of the 1989 IEEE Particle Accelerator Conference,
1280 (1989).
View PDF
- 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).
View PDF
- 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).
- G. Rangarajan, A. J. Dragt and F. Neri, Invariant metrics for Hamiltonian
systems, Proceedings of the 1991 IEEE Particle Accelerator Conference,
1630 (1991).
View PDF
- A. J. Dragt, I. M. Gjaja and G. Rangarajan, Kick factorization of
symplectic maps, Proceedings of the 1991 IEEE Particle Accelerator
Conference, 1621 (1991).
View PDF
- 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.
- 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).
View
PDF
- 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).
View
PDF
Chapters in Books
- A. J. Dragt, R. L. Gluckstern, F. Neri and G. Rangarajan, Theory of
emittance invariants, Lecture Notes in Physics 343, 94 (1989).
- 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.
- 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).
- G. Rangarajan, Fractals in geophysics, in Application of Fractals
in Earth Sciences, ed. V. P. Dimri (A. A. Balkema Rotterdam, 2000).
- 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.
- 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).
- 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.
- 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.
- 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.
Presented at Conferences and Workshops
- 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).
- 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).
- G. Rangarajan and A. J. Dragt, Symplectic completion of symplectic
jets, presented at the University of California Conference on Nonlinear
Science (1991).
- 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).
- G. Rangarajan, Applications of Lie algebraic techniques to Hamiltonian
systems, presented at the Workshop on Nonlinear Waves and Turbulence
(1991) (invited talk).
- G. Rangarajan and A. J. Dragt, Cremona map factorization of symplectic
jets, presented at the International Colloquium on Group
Theoretical Methods in Physics (1992).
- G. Rangarajan, Numerical integration of nonlinear Hamiltonian systems,
presented at the International Conference on Applied Mathematics
(1995) (invited talk).
- G. Rangarajan, Determination of long-term stability of symplectic
maps, presented at the Workshop on Recent Developments in Chaotic
Dynamics (1996) (invited talk).
- D. A. Sant and G. Rangarajan, Fractal dimensional analysis of climatic
time series, presented at the International Conference on Dynamical
Systems (1997).
- 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).
- G. Rangarajan and D. A. Sant, A climate predictability index, presented
at the SIAM Conference on Mathematical and Computational Issues
in the Geosciences (1997).
- G. Rangarajan, Fractals in Geophysics, presented at the Workshop
on Applications of Fractals in Earth Sciences (1997) (invited talk).
- G. Rangarajan, A new method for computing Lyapunov exponents, presented
at the International Conference on Nonlinear Dynamics and Brain
Functioning (1998) (invited talk).
- G. Rangarajan, Lyapunov exponents without rescaling and reorthogonalization,
presented at the International Conference on Nonlinear Dynamics:
Integrability and Chaos (1998) (invited talk).
- G. Rangarajan, Computation of Lyapunov spectra for continuous-time
dynamical systems, presented at the International Congress of Mathematicians
(1998).
- G. Rangarajan, A new method for computing Lyapunov exponents, presented
at the Workshop on Nonlinear Signal Processing (1999) (invited
talk).
- 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).
- G. Rangarajan and M. Ding, A new class of neural interspike interval
distribution, presented at the Dynamical Neuroscience VII (1999).
- 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).
- G. Rangarajan, Pitfalls in assessing long range correlation in time
series data, presented at the International Workshop on Patterns,
Trends, Predictions (2001).
- G. Rangarajan, New classes of neural interspike interval distributions,
presented at the Symposium on Nonlinear Methods in Neuroscience
(2002) (invited talk).
- 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).
- G. Rangarajan, The beauty of fractals, presented at the Science
Festival of Bangalore Science Forum (2002) (Prof. K. Shankar Memorial
Lecture).
- G. Rangarajan, Stability bounds for synchronized chaos, presented
at the Recent Advances in Nonlinear Science (2002) (invited
talk).
- 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).
- G. Rangarajan, Collective behaviour and diversity in economic communities,
presented at the Second Nikkei Econophysics Research Workshop and
Symposium (2002) (invited talk).
- G. Rangarajan, Long term stability studies of particle storage rings
using polynomial maps, presented at the International Conference
on Industrial Mathematics (2002) (invited talk).
- G. Rangarajan, Time series analysis of neural signals, presented
at the National Academy of Sciences, India Bangalore Chapter Conference
(2003) (invited talk).
- G. Rangarajan, Stability of equilibrium points in neural networks,
presented at the Workshop on Neural Networks (2003) (invited
talk).
- 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).
- G. Rangarajan, Synchronization and pattern formation in coupled dynamical
systems, presented at the National Workshop on Recent Advances
in Mathematics (2004) (invited talk).
- 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).
- 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).
- G. Rangarajan, Evaluating causal relations among multiple nonlinear
time series data, presented at Perspectives in Nonlinear Dynamics
(2004).
- G. Rangarajan, Time series analysis in neuroscience, presented
at Workshop on Computational Neuroscience (2004) (invited
talk).
- G. Rangarajan, Applications of fractals, presented at the
Workshop on Fractal Geometry and Nonlinear Dynamical Systems (2004) (invited talk).
- G. Rangarajan, Linear and nonlinear causality measures, presented at
the Minimeeting on Stochastic Processes (2004) (invited talk).
- G. Rangarajan, Causality measures in neuroscience, presented at the
National Conference on Nonlinear Systems and Dynamics (2005)
(invited talk).
- G. Rangarajan, Synchronization and pattern formation in coupled
chaotic systems, presented at the Workshop on Nonlinear Dynamical
Models and their Behaviour (2005) (invited talk).
- G. Rangarajan, Time series analysis of neuro signals, presented at
the National Seminar on Emerging Trends in Forensic Sciences
(2005) (invited talk).
- G. Rangarajan, Causality measures in neuroscience, presented at the
Workshop on Mathematical Neuroscience (2005) (invited talk).
- 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).
- G. Rangarajan, Synchronization and pattern formation in coupled
chaotic systems, presented at the Workshop on Applied Mathematics and
Advanced Techniques (2005) (invited talk).
- G. Rangarajan,
Synchronized extinction of species, presented at
the National Conference on Applications of Mathematics (2006) (invited talk).
- G. Rangarajan, Linear and nonlinear Granger causality, presented at
the Workshop on Nonlinear Phenomena and Techniques (2006) (invited talk).
- R. E. Amritkar and G. Rangarajan, Spatial synchronization and
extinction of
species under common external forcing, presented at the International
Congress of Mathematicians (2006).
- G. Rangarajan, Time series analysis in finance, presented at the
Workshop on Quantitative Finance (2006) (invited talk).
- G. Rangarajan, Synchronous extinction of species, presented
at the International Conference on Assembly, Organization and Propulsion in Complex
Systems (2007} (invited talk).
- G. Rangarajan, Chaos and synchronization, presented at the Workshop on
Recent Trends in Basic Sciences and Mathematics (2007) (invited talk).
- G. Rangarajan, Brain-Machine Interface, presented at the Symposium on
the Science of Life (2007) (invited talk).
- G. Rangarajan, A. Nedungadi and M. Ding, Granger causality analysis of multiple single unit spike trains,
presented at the Society for Neuroscience (2007).
- G. Rangarajan, Time series analysis using nonparametric Granger causality, presented at the
National Conference on Nonlinear Systems and Dynamics (2008) (invited talk).
- G. Rangarajan, Stability of synchronized state and its applications, presented at the
15th Ramanujan Symposium on Dynamic Equations (2008) (invited talk).
- G. Rangarajan, Time series analysis using nonparametric Granger causality, presented at the
Conference on Recent Developments in Nonlinear Dynamics (2008) (invited talk).
- G. Rangarajan, Applications of Lie perturbation theory to nonlinear Hamiltonian dynamics, presented at the
Workshop on Topological Dynamics and Differential Equations (2008) (invited talk).
- G. Rangarajan, Stability of synchronized chaotic state in coupled nonlinear systems, presented at the
Workshop on Topological Dynamics and Differential Equations (2008) (invited talk).
- G. Rangarajan, Time series analysis using nonparametric Granger causality, presented at the
First Indo-Brazilian Symposium on Mathematics (2008) (invited talk).
- G. Rangarajan, Time series analysis, presented at the Winter School on Experimental Nonlinear Dynamics (2008) (invited talk).
- G. Rangarajan, Chaos and synchronization, presented at the National Meet of Research Scholars in Mathematics and Statistics (2008) (invited talk).
- G. Rangarajan, Time series analysis, presented at the SERC School on Nonlinear Dynamics (2009) (invited talk).
- G. Rangarajan, Nonlinear Granger causality, presented at the National Seminar
on Advances in Nonlinear Systems (2009) (invited talk).
- G. Rangarajan, Chaos and synchronization, presented at the National Workshop on
Recent Developments in Theoretical Physics and Quantum Computation (2009) (invited talk).
- G. Rangarajan, Granger causality, presented at the Irish Summer School on Mathematics (2009) (invited talk).
- G. Rangarajan, Brain machine interface, presented at the Workshop on Applications of
Nonlinear Dynamics in Engineering and Technology (2009) (invited talk).
- G. Rangarajan, Chaos, synchronization and pattern formation, Prof. Abdi Memorial Endowment Lecture, presented at Cochin University of Science and Technology (2009) (invited talk).
- G. Rangarajan, Detecting functional connectivity in neuronal networks, presented at the National Symposium on Dynamics on Networks (2009) (invited talk).
- G. Rangarajan, Detecting functional connectivity in neuronal networks, presented at the Workshop on Evolution of Complex Systems (2010) (invited talk).
Popular Articles
- G. Rangarajan, A brief introduction to chaotic behaviour in dissipative
systems, Mathematics Newsletter 4, 43 (1994) (invited
contribution).
- G. Rangarajan, Kolmogorov-Arnold-Moser Theorem, Resonance (Journal
of Science Education) 3, no. 4, 43 (1998) (invited contribution).
Book Reviews
- G. Rangarajan, Review of "A Brief Introduction to Numerical Analysis"
by E. E. Tyrtyshnikov, Current Science 74, 918 (1998).
- G. Rangarajan, Review of "Fractal Geometry in Architecture and Design"
by C. Bovill, Journal of the Indian Institute of Science
78, 158 (1998).
- G. Rangarajan, Review of "The Computational Beauty of Nature" by
Gary William Flake, Journal of the Indian Institute of Science
78, 416 (1998).
- 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).
- G. Rangarajan, Review of "Mathematics and its History" by J. F. Stillwell,
Current Science 83 1593 (2002).
- G. Rangarajan, Review of "Symmetry in Mechanics" by S. F. Singer,
Journal of the Indian Institute of Science 81, 611
(2003).
Most recent revision January 15, 2010
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