Qualitatively Numerical Analysis of Some Concrete Models with Non-Trivial Dynamics

Monday, September 15, 1997 - 10:00am - 11:00am
Keller 3-180
Andrey Shilnikov (Institute for Appl. Math. & Cybernetics Nizhnii Novgorod)
The talk includes fragmentarily some aspects of the analysis of a few Lorenz-like systems (3D symmetrical and asymmetrical classical models, 14D model, Shimizu-Marioka system), in particular, details of detection of the region of existence of the Lorenz attractor in the parameter space. The idea begins mainly with selection of codimension-two homoclinic bifurcations.

A recent result on a blue-sky catastrophebifurcation of codimension one for periodic orbits and its connection with dynamics in biophysical models are also discussed.