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Metric universality in nonlinear recurrence

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Stochastic Behavior in Classical and Quantum Hamiltonian Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 93))

Abstract

A brief resumé of some new, universal features of recurrence relations is presented in a context of possible biological consequences.

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References

  1. R. May, “Simple mathematical models with very complicated dynamics,” Nature, Vol. 261, June 10, 1976, p. 459.

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  2. M. Feigenbaum, “Quantitative Universality for a Class of Nonlinear Transformations,” J. Stat. Phys., Vol. 19, No. 1, 1978.

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  3. M. Feigenbaum, “The Formal Development of Recursive Universality,” Los Alamos preprint LA-UR-78-1155.

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  4. N. Metropolis, M. L. Stein, and P. R. Stein, “On Finite Limit Sets for Transformations on the Unit Interval,” J. Comb. Theory, July 1973, Vol. 15, No. 1, p. 25.

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Giulio Casati Joseph Ford

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© 1979 Springer-Verlag

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Feigenbaum, M.J. (1979). Metric universality in nonlinear recurrence. In: Casati, G., Ford, J. (eds) Stochastic Behavior in Classical and Quantum Hamiltonian Systems. Lecture Notes in Physics, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021743

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  • DOI: https://doi.org/10.1007/BFb0021743

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09120-2

  • Online ISBN: 978-3-540-35510-6

  • eBook Packages: Springer Book Archive

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