Chaotic sliding dynamics for planar piecewise affine maps

Claudio Buzzi, João Medrado, Paulo da Silva

Resumo


In this work we adapt the theory of piecewise differential systems to the world of piecewise affine maps. Through this adaptation it is possible to define a sliding map in the sense of Filippov. We prove that there exists a choice for the pieces of the piecewise affine map, such that the associate sliding map possesses chaotic dynamics.


Palavras-chave


Dynamical Systems, Piecewise Affine Maps, Filippov Systems, Chaos.

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DOI: https://doi.org/10.5540/03.2017.005.01.0020

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