Atlas home || Conferences | Abstracts | about Atlas

Equadiff 2007
August 5-11, 2007
Vienna University of Technology
Vienna, Austria

Organizers
Anton Arnold, Josef Hofbauer, Christian Schmeiser, Alois Steindl, Peter Szmolyan, Gerald Teschl, Josef Teichmann

View Abstracts
Conference Homepage

Chaos in four dimensional systems
by
Flaviano Battelli
Marche Polytecnic University, Ancona
Coauthors: Kenneth Palmer (National University of Taiwan, Taipei)

We study chaotic behaviour in Singular four dimensional systems of differential equations. We assume that the boudary layer equation has a solution homoclinic to either an unstable focus or to a hyperbolic periodic solution for the slow dynamics. We give Melnikov like conditions guaranteeing that the singularly perturbed system has a homoclinic solution which is in general position wih the consquent Sil'nikov chaos.

Date received: June 30, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavj-69.