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Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps

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The Theory of Chaotic Attractors

Abstract

We consider a class of piecewise C 2 Lozi-like maps and prove the existence of invariant measures with absolutely continuous conditional mea­sures on unstable manifolds

Research partially supported by NSF.

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References

  1. R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., vol. 47, Springer, Berlin and New York, 1975.

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Author information

Author notes

  1. Lai-Sang Young

    Present address: Department of Mathematics, Michigan State University, 48824, East Lansing, Michigan, USA

Authors and Affiliations

  1. Department of Mathematics, University of North Carolina, 27514, Chapel Hill, North Carolina, USA

    Lai-Sang Young

Authors
  1. Lai-Sang Young
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Editor information

Editors and Affiliations

  1. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA

    Brian R. Hunt

  2. Department of Mathematics, Michigan State University, 48824, East Lansing, Michigan, USA

    Tien-Yien Li

  3. Department of Mathematics, University of Delaware, 19716, Newark, Delaware, USA

    Judy A. Kennedy

  4. Department of Econometrics, University of Groningen, NL-9700 AV, Groningen, The Netherlands

    Helena E. Nusse

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© 1985 Springer Science+Business Media New York

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Young, LS. (1985). Bowen-Ruelle Measures for Certain Piecewise Hyperbolic Maps. In: Hunt, B.R., Li, TY., Kennedy, J.A., Nusse, H.E. (eds) The Theory of Chaotic Attractors. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21830-4_16

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  • DOI: https://doi.org/10.1007/978-0-387-21830-4_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2330-1

  • Online ISBN: 978-0-387-21830-4

  • eBook Packages: Springer Book Archive

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