Perturbation analysis of entrainment in a micromechanical limit cycle oscillator

DOI10.1016/J.CNSNS.2006.01.017zbMath1124.34026OpenAlexW2120754962MaRDI QIDQ883546

Alan T. Zehnder, Manoj Pandey, Richard H. Rand

Publication date: 4 June 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.01.017

zbMATH Keywords

hysteresisperturbationbifurcationresonancemems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Multiple scale methods for ordinary differential equations (34E13)

Related Items (12)

Frequency locking in a forced Mathieu--Van der Pol--Duffing system ⋮ Existence and uniqueness of the exponentially stable limit cycle for a class of nonlinear systems via time-domain approach with differential inequality ⋮ \(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator ⋮ Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay ⋮ Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations ⋮ Dynamics of four coupled phase-only oscillators ⋮ Suppression of hysteresis in a forced Van der Pol-Duffing oscillator ⋮ Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay ⋮ Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators ⋮ Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator ⋮ Hysteresis suppression for primary and subharmonic 3:1 resonances using fast excitation ⋮ Complex mixed-mode oscillations based on a modified Rayleigh-Duffing oscillator driven by low-frequency excitations

Uses Software

• AUTO

Cites Work

• Unnamed Item
• Dynamics of a globally coupled oscillator array
• Synchronization of Pulse-Coupled Biological Oscillators
• Synchronization in chaotic systems

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