Frequency locking in a forced Mathieu--Van der Pol--Duffing system
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Publication:840457
DOI10.1007/s11071-007-9238-xzbMath1279.34042OpenAlexW2135649303MaRDI QIDQ840457
Alan T. Zehnder, Manoj Pandey, Richard H. Rand
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9238-x
Antennas, waveguides in optics and electromagnetic theory (78A50) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (12)
Nonlinear Dynamics and Parametric Excitation of Piezo-Micro Biological Sensor ⋮ On an optimal control applied in MEMS oscillator with chaotic behavior including fractional order ⋮ \(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator ⋮ Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation ⋮ Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations ⋮ Nonlinear normal modes of a self-excited system driven by parametric and external excitations ⋮ Global detection of detached periodic solution branches of friction-damped mechanical systems ⋮ Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay ⋮ Parametrically excited non-linearity in Van der Pol oscillator: resonance, anti-resonance and switch ⋮ Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay ⋮ Darboux integrability of a Mathieu-van der Pol-Duffing oscillator ⋮ Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators
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