Publication:
Chaotic behaviour in a singularly perturbed system

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2006
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
The aim of this paper is to present a novel type of chaos observed in a four dimensional singularly perturbed system. The chaotic behavior is described both numerically and analytically. We show the existence of a new type of strange attractor reminiscent of a chaotic behavior for a fast-slow system. Related to this we demonstrate that there is an invariant attracting region overlapping the jump manifolds of the fast system. This canonical problem was identi¯ed to be a coupled problem of two Hopf bifurcations with the fast jump process. We derive a geometric model where we can rigorously show the existence of chaotic orbits.
Description
Keywords
Citation
Collections