Chaotic planar piecewise smooth vector fields with non-trivial minimal sets
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Data
2014
Autores
Buzzi, Claudio Aguinaldo [UNESP]
Carvalho, Tiago de [UNESP]
Euzébio, Rodrigo Donizete [UNESP]
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Resumo
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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non-smooth vector fields, non deterministic chaos, minimal sets
Como citar
Ergodic Theory & Dynamical Systems, v. online, p. 1-12, 2014.