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Sinai-Bowen-Ruelle measures for certain Hénon maps

  • Chapter
The Theory of Chaotic Attractors

Abstract

We study maps T a,b : ℝ2 → ℝ2 defined by

$$ {T_{a,b}}\left( {x,y} \right) = \left( {1 - a{x^2} + y,bx} \right),0 < a < 2,b >0$$

Benedicks is partially supported by the Swedish Natural Science Research Council (NFR) and the Swedish Board of Technical Development (STU). Young is partially supported by NSF

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Author information

Authors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Michael Benedicks

  2. Department of Mathematics, UCLA, Los Angeles, CA, 90024, USA

    Lai-Sang Young

Authors
  1. Michael Benedicks
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  2. 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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© 1993 Springer Science+Business Media New York

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Benedicks, M., Young, LS. (1993). Sinai-Bowen-Ruelle measures for certain Hénon 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_21

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  • DOI: https://doi.org/10.1007/978-0-387-21830-4_21

  • 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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