|
2007 - 2008
|
Workshop on
Dynamical Systems
October 22 - November 03, 2007
|
|
|
Deadlines
Venue
|
|
The IISc Mathematics Initiative (IMI),
Indian Institute of Science, Bangalore will be organizing
a workshop on Dynamical systems from October 22 - November
03, 2007.
This workshop will provide an introduction to the mathematical theory of dynamical systems.
The topics to be covered include : attractors, topological dependence, invariant
measures and ergodic theorems, Perron-Frobenius operator, Gibbs measures, Lyapunov
exponents, fractal dimensions, general principles of bifurcation theory, Lyapunov-Schmidt
reduction vs Center Manifold theorem, elementary bifurcations – pitchfork
bifurcation as a consequence of Z2 symmetry, Hopf bifurcations as a consequence
of time translation invariance in the equations Equivariant bifurcation theory,
basics on group actions and equivariance of vector fields, equivariant branching lemma – steady – state
and Hopf cases, examples and counter-examples, relative equilibria and relative
periodic orbits, definitions and main properties, bifurcations from relative
equilibria , spatially extended systems, attractors.
There would be about 30 outstation participants (including initial
graduate students, young and interested faculty, scientists and
industry participants).
A maximum of 10 seats will be
reserved for scientists from organizations, which finance
the theme programme.
Students and faculty from IISc who desire
to participate in the theme programme will need to register.
Note: This web page will be modified
continuously with updated information on paper submission
and status, session themes, registration status and other
details. So, please keep checking.
|
