Parametric Frequency Analysis of Mathieu–Duffing Equation

DOI10.1142/S0218127421501819zbMath1480.34036OpenAlexW3202118321MaRDI QIDQ5158781

Mohsen Azimi

Publication date: 26 October 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421501819

zbMATH Keywords

cubic nonlinear termpitchfork bifurcationsubharmonic bifurcationparametric frequency analysis

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Parametric resonances for nonlinear problems in mechanics (70K28) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Unnamed Item
• On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator
• \(2:1\) Resonance in the delayed nonlinear Mathieu equation
• Subharmonic resonance in the nonlinear Mathieu equation
• Bifurcations in a Mathieu equation with cubic nonlinearities. II
• \(2:1:1\) resonance in the quasi-periodic Mathieu equation
• TRANSITION CURVES AND BIFURCATIONS OF A CLASS OF FRACTIONAL MATHIEU-TYPE EQUATIONS

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