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Part of the book series: Mathematics and Its Applications ((MAIA,volume 75))

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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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© 1992 Springer Science+Business Media Dordrecht

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Collet, P. (1992). Regular and Chaotic Behaviour of Dynamical Systems. In: Goles, E., Martínez, 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

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5137-8

  • Online ISBN: 978-94-011-2578-9

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