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robustly chain transitive

Journal of the Institute of Mathematics of Jussieu (1)

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1 results

A robustly chain transitive attractor with singularities of different indices
Part of
- Dynamical systems with hyperbolic behavior
Christian Bonatti, Ming Li, Dawei Yang
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 12 / Issue 3 / July 2013

Published online by Cambridge University Press:

01 June 2012, pp. 449-501

Print publication:

July 2013
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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.