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Dynamical Systems

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Deterministic Nonlinear Systems

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

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Abstract

The temporal and spatial behavior of a system can be predicted if initial conditions are known. This task is one of the most important problems in the natural sciences. It amounts to finding a law that enables us to define the future state of the system at a time t > t 0 when given some information on the system at the initial time t 0. Depending on the complexity of the system, this law can be deterministic or probabilistic, and it can describe either the temporal or the spatio-temporal evolution of the system.

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Notes

  1. 1.

    The commonly used term ‘discrete map’ is not entirely appropriate since a map is usually given on a continuous set of states and only time moments form a discrete set.

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Authors and Affiliations

  1. Department of Physics Instiute of Nonlinear Dynamics, Saratov State University, Saratov, Russia

    Vadim S. Anishchenko, Tatyana E. Vadivasova & Galina I. Strelkova

Authors
  1. Vadim S. Anishchenko
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  2. Tatyana E. Vadivasova
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  3. Galina I. Strelkova
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Anishchenko, V.S., Vadivasova, T.E., Strelkova, G.I. (2014). Dynamical Systems. In: Deterministic Nonlinear Systems. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-06871-8_1

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