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Perturbation analysis of entrainment in a micromechanical limit cycle oscillator
Resonance MEMS Bifurcation Perturbation
2015/8/27
We study the dynamics of a thermo-mechanical model for a forced disc shaped, micromechanical limit cycle oscillator.The forcing can be accomplished either parametrically, by modulating the laser beam ...
Two models for the parametric forcing of a nonlinear oscillator
Parametric excitation Resonance Chaos Elliptic averaging
2015/8/27
Instabilities associated with 2:1 and 4:1 res-onances of two models for the parametric forcing of a strictly nonlinear oscillator are analyzed. The first model involves a nonlinear Mathieu equation an...
Three oscillator model of the heartbeat generator
Phase-only oscillators Phase-locking Devil’s staircase Sinoatrial node
2015/8/27
The sinoatrial (SA) node is a group of self-oscillatory cells in the heart which beat rhythmi-cally and initiate electric potentials, producing a wave of contraction that travels through the heart res...
Inhomogeneity of the phase space of the damped harmonic oscillator under Levy noise
Inhomogeneity of the phase space damped harmonic oscillator Levy noise Statistical Mechanics
2012/4/19
The damped harmonic oscillator under symmetric L\'{e}vy white noise shows inhomogeneous phase space, which is in contrast to the homogeneous one of the same oscillator under the Gaussian white noise, ...