Singular hyperbolic systems-Reference-Cited by-同舟云学术

Singular hyperbolic systems

Published:1999-05-04 Issue:11 Volume:127 Page:3393-3401
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Morales C.,Pacifico M.,Pujals E.

Abstract

We construct a class of vector fields on 3-manifolds containing the hyperbolic ones and the geometric Lorenz attractor. Conversely, we shall prove that nonhyperbolic systems in this class resemble the Lorenz attractor: they have Lorenz-like singularities accumulated by periodic orbits and they cannot be approximated by flows with nonhyperbolic critical elements.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-11/S0002-9939-99-04936-9/S0002-9939-99-04936-9.pdf

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