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Generalized Spectral Decompositions for A Class of One-Dimensional Chaotic Maps

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Instabilities and Nonequilibrium Structures V

Part of the book series: Nonlinear Phenomena and Complex Systems ((NOPH,volume 1))

Abstract

We discuss the generalized spectral representation of the Frobenius-Perron operator for a class of piecewise-linear one-dimensional maps with non-uniform stretching factors. The class includes maps with a fractal repellor.

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Author information

Authors and Affiliations

  1. Center for Studies in Statistical Mechanics and Complex Systems, University of Texas at Austin, 78712, Austin, TX, USA

    D. J. Driebe

  2. International Solvay Institutes for Physics and Chemistry, 1050, Brussels, Belgium

    H. H. Hasegawa

Authors
  1. D. J. Driebe
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  2. H. H. Hasegawa
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Editor information

Editors and Affiliations

  1. Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    Enrique Tirapegui

  2. Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

    Walter Zeller

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© 1996 Kluwer Academic Publishers

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Driebe, D.J., Hasegawa, H.H. (1996). Generalized Spectral Decompositions for A Class of One-Dimensional Chaotic Maps. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures V. Nonlinear Phenomena and Complex Systems, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0239-8_22

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  • DOI: https://doi.org/10.1007/978-94-009-0239-8_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6590-0

  • Online ISBN: 978-94-009-0239-8

  • eBook Packages: Springer Book Archive

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