Anti-integrable limit
Sergey Bolotin, Dmitry Treschev
TL;DR
The paper discusses the anti-integrable limit method for constructing chaotic hyperbolic invariant sets in various dynamical systems, focusing on discrete Lagrangian systems, with examples and applications.
Contribution
It introduces the anti-integrable limit approach within discrete Lagrangian systems and demonstrates its applications and examples.
Findings
Effective method for constructing chaotic sets
Applicable to Lagrangian and Hamiltonian systems
Provides practical examples and applications
Abstract
Anti-integrable limit is one of convenient and relatively simple methods for construction of chaotic hyperbolic invariant sets in Lagrangian, Hamiltonian and other dynamical systems. We discuss the most natural context of the method -- discrete Lagrangian systems. Then we present examples and applications.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Guidance and Control Systems · Nonlinear Waves and Solitons