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Discrete Dynamical Systems

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Chaos for Engineers
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Abstract

A discrete dynamical system is a system which is discrete in time so we observe its dynamics not continuously but at given moments of time as in the case of the Poincaré map introduced in the previous chapter. The dynamics of discrete dynamical systems is usually simple enough to be explained in detail. We use these systems to describe the main phenomena of nonlinear dynamics.

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References

  1. May, R. (1976): Simple Mathematical models with very complicated dynamics, Nature, 26, 459–467

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  2. Collet, P., Eckmann, J.P. (1980): Iterated Maps of the Interval as Dynamical Systems, Birkhäuser, Boston

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  3. Feigenbaum, M. (1978): Qualitative universality for a chaos of nonlinear transformations, J. Stat. Phys., 19, 5–32

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  4. Lorenz, E. (1963): Deterministic nonperiodic flow, J. Atmos. Sci., 2, 130–141

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© 2000 Springer-Verlag Berlin Heidelberg

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Kapitaniak, T. (2000). Discrete Dynamical Systems. In: Chaos for Engineers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57143-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-57143-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66574-8

  • Online ISBN: 978-3-642-57143-5

  • eBook Packages: Springer Book Archive

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