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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.

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Authors and Affiliations

  1. Departamento de Métodos Matemáticos, IM-UFRJ, Caixa Postal 68530, Cep 21945-970, Rio de Janeiro, RJ, Brasil. E-mail: morales@impa.br; enrique@impa.br; pacifico@impa.br, , , , , , BR

    C. A. Morales, M. J. Pacifico & E. R. Pujals

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  1. C. A. Morales
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  2. M. J. Pacifico
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  3. E. R. Pujals
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Received: 4 December 1998 / Accepted: 5 October 1999

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Morales, C., Pacifico, M. & Pujals, E. Strange Attractors Across the Boundary¶of Hyperbolic Systems. Comm Math Phys 211, 527–558 (2000). https://doi.org/10.1007/s002200050825

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  • DOI: https://doi.org/10.1007/s002200050825

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