Adiabatic invariants for linear Hamiltonian systems

DOI10.1016/0022-0396(75)90031-5zbMath0265.34018OpenAlexW2002604973MaRDI QIDQ2562281

Yanyan Li

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90031-5

Mathematics Subject Classification ID

Hamilton's equations (70H05) Linear ordinary differential equations and systems (34A30) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

Generalization of Berry’s geometric phase, equivalence of the Hamiltonian nature, quantizability and strong stability of linear oscillatory systems, and conservation of adiabatic invariants ⋮ Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients ⋮ Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds ⋮ Automorphisms of the Lie algebra of polynomials under Poisson bracket

Cites Work

• Unnamed Item
• Lorentz's pendulum problem
• Canonical transformations depending on a small parameter
• Adiabatic Invariance of a Simple Oscillator
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

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