The anti-integrable limit

S. V. Bolotin   ; D. V. Treschev

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 70 (2015) no. 6, pp. 975-1030

Résumé

The anti-integrable limit is one of the convenient and relatively simple methods for the construction of chaotic hyperbolic invariant sets in Lagrangian, Hamiltonian, and other dynamical systems. This survey discusses the most natural context of the method, namely, discrete Lagrangian systems, and then presents examples and applications. Bibliography: 75 titles.

Détail

Keywords: Lagrangian systems, Hamiltonian systems, hyperbolic sets, topological Markov chain, topological entropy.
Mots-clés : chaos

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