, Volume 211, Issue 3, pp 527-558

Strange Attractors Across the Boundary¶of Hyperbolic Systems

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Abstract:

We study a bifurcation of Axiom A (hyperbolic) vector fields in dimension three leading to robust strange attractors with singularities. The Axiom A vector fields involved in the bifurcation exhibit a basic set equivalent to the suspension of a three symbol subshift. The attractors arising from this kind of bifurcation are not equivalent to the geometric Lorenz attractors.

Received: 4 December 1998 / Accepted: 5 October 1999