01-135 I. Bosch-Vivancos, A. M. Minzoni

Chaotic behaviour in a singularly perturbed system (3503K, PS) 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 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.

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