On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator

DOI10.1007/s11071-019-04818-9zbMath1437.81031OpenAlexW2918103260MaRDI QIDQ783524

Jayanta K. Bhattacharjee, Subhadip Biswas

Publication date: 4 August 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-04818-9

zbMATH Keywords

higher-order Mathieu equationKrylov-Bogoliubovquantum parametric oscillator

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Special quantum systems, such as solvable systems (81Q80)

Related Items (4)

Resonant barrier crossing in a modulated classical double well potential ⋮ Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator ⋮ Parametric Frequency Analysis of Mathieu–Duffing Equation ⋮ Stability of Coupled and Damped Mathieu Equations Utilizing Symplectic Properties

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