Chaotic planar piecewise smooth vector fields with non-trivial minimal sets

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2016-04-01

Autores

Buzzi, Claudio A. [UNESP]
De Carvalho, Tiago [UNESP]
Euzébio, Rodrigo D. [UNESP]

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In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and the concept of orientable minimality is introduced. Some relations between minimality and orientable minimality are also investigated and the existence of new kinds of non-trivial minimal sets in chaotic systems is observed. The approach is geometrical and involves the ordinary techniques of non-smooth systems.

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Ergodic Theory and Dynamical Systems, v. 36, n. 2, p. 458-469, 2016.

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