On the accuracy of conservation of adiabatic invariants in slow-fast Hamiltonian systems

DOI10.1134/S1560354712010054zbMath1252.70040arXiv1103.1595MaRDI QIDQ691210

Tan Su

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1595

zbMATH Keywords

adiabatic invariantisoenergetic reductionslow-fast Hamiltonian systems

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (1)

Hamiltonian dynamics and adiabatic invariants for time-dependent superconducting qubit-oscillators and resonators in quantum computing systems

Cites Work

• A rigorous implementation of the Jeans - Landau - Teller approximation for adiabatic invariants
• On the accuracy of persistence of an adiabatic invariant in single-frequency systems

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