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

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2014

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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 & Dynamical Systems, v. online, p. 1-12, 2014.

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