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A robustly chain transitive attractor with singularities of different indices

Published online by Cambridge University Press:  01 June 2012

Christian Bonatti
Affiliation:
Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon 21004, France ([email protected])
Ming Li
Affiliation:
School of Mathematical Sciences, Nankai University, Tianjin 300071, PR China ([email protected])
Dawei Yang
Affiliation:
School of Mathematics, Jilin University, Changchun 130012, PR China ([email protected])

Abstract

Given a 4-manifold, we build a non-empty ${C}^{1} $-open set of vector fields having a (chain transitive) attractor containing singularities of different indices. Then, we begin the study of the hyperbolic properties of such a robust singular attractor.

Type
Research Article
Copyright
©Cambridge University Press 2012 

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