Chaotic planar piecewise smooth vector fields with non-trivial minimal sets-Reference-Cited by-同舟云学术

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

Published:2014-08-05 Issue:2 Volume:36 Page:458-469
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

BUZZI CLAUDIO A.,DE CARVALHO TIAGO,EUZÉBIO RODRIGO D.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

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