Comment on demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator

DOI10.1142/S0217732318750019zbMath1392.34032arXiv1806.11139OpenAlexW2811136863WikidataQ129484339 ScholiaQ129484339MaRDI QIDQ4578042

Armando Gallegos, Haret C. Rosu

Publication date: 7 August 2018

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11139

zbMATH Keywords

Ermakov-Lewis invariantparametric oscillatorRay-Reid invariant

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Quantum field theory; related classical field theories (81T99)

Related Items (5)

Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling ⋮ Quantum uncertainty as an intrinsic clock ⋮ An integral of motion for the damped cubic-quintic Duffing oscillator with variable coefficients ⋮ A note on generalization of the Ermakov–Lewis invariant and its demystification ⋮ Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems

Cites Work

• Unnamed Item
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• Demystifying the constancy of the Ermakov–Lewis invariant for a time-dependent oscillator
• Ermakov-Lewis invariants and Reid systems

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