Abstract
While most of this book is based on the formalism of stochastic processes, this chapter discusses dissipative dynamical systems with a deterministic dynamics. Basic notions like fixed points, limit cycles or chaotic dynamics are introduced. The similarities between the coarse-grained deterministic dynamics of a chaotic systems and a stochastic dynamics are emphasized. A link to statistical physics is then made by considering the collective behavior of large assemblies of coupled dynamical systems.
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Notes
- 1.
This equation may be thought of as a Fokker–Planck equation (see Sect. 2.3) in the zero noise limit.
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Bertin, E. (2021). Statistical Description of Dissipative Dynamical Systems. In: Statistical Physics of Complex Systems. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-030-79949-6_7
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