Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients

DOI10.1016/0022-0396(81)90033-4zbMath0451.58015OpenAlexW2031577287MaRDI QIDQ1148041

Mark Levi

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90033-4

zbMATH Keywords

linear Hamiltonian systemadiabatic invariantsnonresonance conditionsslowly varying Mathieu equationstrong stability of linear Hamiltonian systems with periodic coefficients

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

On stability of symplectic maps ⋮ A note on adiabatic invariance in Hamiltonian systems depending singularly on the slow time ⋮ Простое доказательство адиабатической теоремы

Cites Work

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• On the construction of quasimodes associated with stable periodic orbits
• Asymptotic simplification of self-adjoint differential equations with a parameter
• Adiabatic invariants for linear Hamiltonian systems
• Lorentz's pendulum problem
• Stable and Random Motions in Dynamical Systems
• On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients
• New aspects in the theory of stability of Hamiltonian systems
• On the stability of linear canonical systems with periodic coefficients
• Adiabatic Invariance of a Simple Oscillator

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