Chaotic sliding dynamics for planar piecewise affine maps

Autores

  • Claudio Buzzi
  • João Medrado
  • Paulo da Silva

DOI:

https://doi.org/10.5540/03.2017.005.01.0020

Palavras-chave:

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

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.

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Publicado

2017-04-14

Edição

Seção

Trabalhos Completos - Análise Aplicada