Resonant interval action transfer between coupled harmonic oscillators

DOI10.1063/1.528149zbMath0655.70016OpenAlexW2047673374MaRDI QIDQ3802692

R. O. Dendy

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528149

zbMATH Keywords

weakly coupled harmonic oscillatorslinear mode conversionaction-angle Hamiltonianclassical mechanical analog of the wave-mechanical systemwave-mechanical description

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Linear vibration theory (70J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (1)

Hannay’s angles outside the adiabatic range: Coupled linear oscillators near resonance

Cites Work

• The nonconstancy of the adiabatic invariants
• A unified theory of a class of mode conversion problems
• Renormalized geometric optics description of mode conversion in weakly inhomogeneous plasmas
• A Hamiltonian approach to normal mode coupling in a Coulomb plasma
• Linear mode conversion and singularities of geometric optics approximation in plasmas
• Mode conversion of a propagating to nonpropagating wave
• Linearly Coupled, Slowly Varying Oscillators: The Interaction of a Positive-Energy Mode With a Negative-Energy Mode
• Linear mode conversion and the operator theory of wave mechanics
• Theory of mode-conversion in weakly inhomogeneous plasma
• Derivation of the mode conversion-tunneling equation from the Vlasov equation
• The absorption mechanism of the ordinary mode propagating perpendicularly to the magnetic field at the electron cyclotron frequency
• Linearly Coupled, Slowly Varying Oscillators
• The Effect of Dissipation on Linearly Coupled, Slowly Varying Oscillators

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