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Dynamics of a ring of three coupled relaxation oscillators
Coupled oscillators Nonlinear vibrations Bifurcations Perturbations
2015/8/27
he dynamics of a ring of three identical relaxation oscillators is shown to exhibit a variety of periodic motions, including clockwise and counter-clockwise wave-like modes, and a synchronous mode in ...
A pair of van der Pol oscillators coupled by fractional derivatives
Fractional calculus Fractional derivative Coupled oscillators Perturbation methods
2015/8/27
Weconsiderthestabilityofthein-phaseand out-of-phase modes of a pair of fractionally-coupled van der Pol oscillators:x ?? −? ? 1−x 2 ? x ? +x = ?γ D α (y −x) (1)y ?? −? ? 1ͨ...
Coupled Parametrically Driven Modes in Synchrotron Dynamics
Parametric Coupled Oscillators Mathieu Synchrotron
2015/8/26
This work concerns the dynamics of a type of particle accelerator called a synchrotron, in which particles are made to move in nearly circular orbits of large radius. The stability of the transverse m...