Catastrophes and chaos in dynamic systems : Dynamic systems

Dynamic systems
Catastrophes and chaos in dynamic systems

Author : Claudine DANG VU-DELCARTE

Publication date: October 10, 2010 | Lire en français

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1. Dynamic systems

We begin by defining what we call a dynamic system and introducing a number of concepts that will be used in the following sections.

Definition 1 The application $ϕ_{t} : D \subseteq ℝ^{n} \to ℝ^{n}$ defined by

ϕ_{t} (x_{0}) = x (x_{0}, t)

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Ongoing reading
Dynamic systems

(1) - ARNOLD (V.), AVEZ (A.) - Problèmes ergodiques de la mécanique classique - Gauthier-Villars (1967).
(2) - BERGE (P.), POMEAU (Y.), VIDAL (C.) - L'ordre dans le chaos - Hermann (1988).

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