Abstract
The theory of dynamical systems is devoted to the study of time evolutions. The instantaneous state of a physical system is described by a point in some phase space which is usually a vector space or a manifold. The time evolution is then given by a vector field (continuous time) or a mapping (discrete time). The main goal is to understand qualitatively and if possible quantitatively the long time behaviour of these systems.
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Collet, P. (1992). Regular and Chaotic Behaviour of Dynamical Systems. In: Goles, E., MartÃnez, S. (eds) Statistical Physics, Automata Networks and Dynamical Systems. Mathematics and Its Applications, vol 75. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2578-9_1
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DOI: https://doi.org/10.1007/978-94-011-2578-9_1
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