Stability regions for Mathieu equation with imperfect periodicity

DOI10.1016/j.physleta.2009.07.069zbMath1233.70007OpenAlexW1973853063MaRDI QIDQ665367

Andrzej Chrzeszczyk, Roman V. Bobryk

Publication date: 5 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.07.069

zbMATH Keywords

Mathieu equationparametric resonancemean square stability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Stochastic stability in control theory (93E15) Parametric resonances for nonlinear problems in mechanics (70K28) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)

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Cites Work

• Closure method and asymptotic expansions for linear stochastic systems
• Colored-noise-induced parametric resonance
• Moment stability for linear systems with a random parametric excitation
• Transformations of Wiener integrals under translations
• Moment Lyapunov exponents of a two-dimensional system under bounded noise parametric excitation
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