Averaging in Weakly Coupled Discrete Dynamical Systems

DOI10.1142/S1402925109000492zbMath1191.37018MaRDI QIDQ5306089

N. Brännström

Publication date: 29 March 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

weakly coupled systemsslow-fast dynamicsaveraging pjrinciple

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Cites Work

• Unnamed Item
• Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
• Drift of slow variables in slow-fast Hamiltonian systems
• Another proof of the averaging principle for fully coupled dynamical systems with hyperbolic fast motions
• The rate of convergence in ergodic theorems
• The averaging method for perturbations of mixing flows
• Averaging principle for fully coupled dynamical systems and large deviations
• Convergence, nonconvergence and adiabatic transitions in fully coupled averaging
• Averaging methods in nonlinear dynamical systems

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