Anosov Flows and Invariant Measures in Constrained Mechanical Systems

Authors

  • Waldyr M. Oliva Instituto Superior Técnico de Portugal ISR and Departamento de Matemática Centro de Análise Matemática Geometria e Sistemas Dinâmicos
  • Gláucio Terra Universidade de São Paulo Instituto de Matemática e Estatística Departamento de Matemática
  • Marcelo H. Kobayashi University of Hawaií at Manoa Department of Mechanical Engineering

DOI:

https://doi.org/10.11606/issn.2316-9028.v2i1p55-76

Abstract

We present conditions for hyperbolicity and existence of an invariant measure for the GMA flow of a non-linearly constrained mechanical system. The conservation of volume in the linear constrained problem corresponding to the rolling of a ball on a surface parallel to Delaunay is also considered.

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Published

2008-06-30

Issue

Vol. 2 No. 1 (2008)

Section

Articles

How to Cite

Anosov Flows and Invariant Measures in Constrained Mechanical Systems. (2008). The São Paulo Journal of Mathematical Sciences, 2(1), 55-76. https://doi.org/10.11606/issn.2316-9028.v2i1p55-76