# CNS nonlinear seminars

# Fall 2005

2005-11-16Jorge MillanComplex paths in elementary examples

Witness George transfix the caustic

Jorge's solution
2005-11-09Jorge MillanComplex paths in elementary examples

We will continue discussion of caustics and complex paths, based on exercises by Joseph Keller.

Caustic of a Coulombic repeller
2005-11-02Jorge MillanComplex paths in elementary examples

Prof. Keller gave Predrag two problems he uses to familiarize his students with complex phase space trajectories. I will attempt to discuss them this journal club.

Kellers exercises
2005-08-31Domenico LippolisDetermination of eigenvalues and eigenfunctions of a stochastic evolution operator

In the presence of white noise in a dynamical system, the delta-shaped core of
the Perron-Frobenius operator becomes a Gaussian. For a noisy one-dimensional
map or flow with a single fixed point, it is possible to find the eigenspectrum
and an invariant measure of such operator analytically. In two dimensions, a
noisy cicular limit cycle is discussed.

Content of my presentation (references are
given at the end of the report)