RT Journal Article
T1 Chaotic behaviour in a singularly perturbed system
A1 Bosch Vivanco, Ignacio
AB 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 newtype 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 withthe fast jump process. We derive a geometric model where we can rigorouslyshow the existence of chaotic orbits.
PB IOP Publishing Ltd
SN 0951-7715
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/49702
UL https://hdl.handle.net/20.500.14352/49702
LA eng
DS Docta Complutense
RD 7 abr 2025