Periodic solutions of a generalized Van der Pol-Mathieu differential equation

DOI10.1016/j.amc.2014.01.161zbMath1309.34068OpenAlexW1989942305WikidataQ115361469 ScholiaQ115361469MaRDI QIDQ470766

Z. Kadeřábek, Josef Kalas

Publication date: 13 November 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.161

zbMATH Keywords

periodic solutionscomplexificationquasiperiodic solutionsaveraging methodphase space analysisautonomous equationsVan der Pol-Mathieu equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29)

Related Items (7)

Anti-periodic solutions of Liénard equations with state dependent impulses ⋮ Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations ⋮ An analytical method for Mathieu oscillator based on method of variation of parameter ⋮ Periodic solutions of Liénard-Mathieu differential equation with a small parameter ⋮ Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu's oscillatory systems ⋮ Periodic van der Pol equation with state dependent impulses ⋮ Distributional van der Pol equation with state-dependent impulses

Cites Work

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• A Van der Pol–Mathieu equation for the dynamics of dust grain charge in dusty plasmas
• Resonance and nonlinearity: A survey
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

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