- 01-135 I. Bosch-Vivancos, A. M. Minzoni
- Chaotic behaviour in a singularly perturbed system
Apr 5, 01
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Abstract. The aim of this paper is to present a novel type of chaos observed in a four
dimensional singularly perturbed system. The chaotic behaviour is described
both numerically and analytically. We show the existence of a new type of
strange attractor reminiscent of a chaotic behaviour for a fast-slow system.
Related to this we demonstrate that there is am invariant attracting region
overlapping the jump manifolds of the fast system. This canonical problem
was identied 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.