Two models for the parametric forcing of a nonlinear oscillator

DOI10.1007/s11071-006-9148-3zbMath1181.70021OpenAlexW2163583936MaRDI QIDQ842209

Nazha Abouhazim, Mohamed Belhaq, Richard H. Rand

Publication date: 22 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-006-9148-3

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

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• Averaging using elliptic functions: Approximation of limit cycles
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• Prediction of homoclinic bifurcation: the elliptic averaging method
• Global behavior of a nonlinear quasiperiodic Mathieu equation
• ANALYTICS OF HOMOCLINIC BIFURCATIONS IN THREE-DIMENSIONAL SYSTEMS

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