Chaotic Planar Piecewise Smooth Vector Fields With Non Trivial Minimal Sets
Dynamical Systems
2019-02-20 v1
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. It is also investigated some relations between minimality and orientable minimality and observed the existence of new kinds of non-trivial minimal sets in chaotic systems. The approach is geometrical and involve the ordinary techniques of non-smooth systems.
Keywords
Cite
@article{arxiv.1404.0616,
title = {Chaotic Planar Piecewise Smooth Vector Fields With Non Trivial Minimal Sets},
author = {Claudio Buzzi and Tiago de Carvalho and Rodrigo Euzebio},
journal= {arXiv preprint arXiv:1404.0616},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1307.6825