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Renormalization Chaos in Period Doubling Systems

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Nonlinear Waves 3

Part of the book series: Research Reports in Physics ((RESREPORTS))

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Abstract

The present paper gives an account of a recent conception of renormalization chaos in application to some scaling properties of period doubling systems (global structure of the Feigenbaum attractor, ratios of spectral amplitudes, response under periodical perturbation).

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References

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Author information

Authors and Affiliations

  1. Institute of Radiotechnics and Electronics, USSR Academy of Sciences, Saratov Office, USSR

    S. P. Kuznetsov

Authors
  1. S. P. Kuznetsov
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Editor information

Editors and Affiliations

  1. Institute of Applied Physics, ul. Ulyanova 46, SU-603600, Gorky, USSR

    Andrei V. Gaponov-Grekhov (Academician) & Mikhail I. Rabinovich (Academician) & 

  2. Institute of Cybernetics, Estonian Academy of Sciences, Akadeemia tee 21, SU-200108, Tallinn, Estonia, USSR

    Jüri Engelbrecht

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© 1990 Springer-Verlag Berlin, Heidelberg

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Kuznetsov, S.P. (1990). Renormalization Chaos in Period Doubling Systems. In: Gaponov-Grekhov, A.V., Rabinovich, M.I., Engelbrecht, J. (eds) Nonlinear Waves 3. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75308-4_24

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  • DOI: https://doi.org/10.1007/978-3-642-75308-4_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52024-5

  • Online ISBN: 978-3-642-75308-4

  • eBook Packages: Springer Book Archive

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