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Tests of the Period-Doubling Route to Chaos

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Nonlinear Phenomena in Chemical Dynamics

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 12))

Abstract

The period-doubling route to chaotic behavior has characteristic spectral and temporal properties which are here outlined.

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References

  1. M.J. Feigenbaum, Phys. Lett. 74A, 375 (1979).

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  2. M.J. Feigenbaum, Comm. Math. Phys. 77, 65 (1980).

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  3. This formula first appeared as the scaling for the broadband Dart of a noisy spectrum in A. Wolf, J. Swift. University of Texas at Austin preprint “Universal Power Spectra for the Reverse Bifurcation Sequence” (1981).

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  4. M. Nauenberg, J. Rudnick, Universality and the power spectrum at the onset of chaos. Preprint UCSC (1981).

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  5. S. Grossman, S. Thomae. University of Marburg, preprint (1981).

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© 1981 Springer-Verlag Berlin Heidelberg

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Feigenbaum, M.J. (1981). Tests of the Period-Doubling Route to Chaos. In: Vidal, C., Pacault, A. (eds) Nonlinear Phenomena in Chemical Dynamics. Springer Series in Synergetics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81778-6_14

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  • DOI: https://doi.org/10.1007/978-3-642-81778-6_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81780-9

  • Online ISBN: 978-3-642-81778-6

  • eBook Packages: Springer Book Archive

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