Dynamics of phase slips in systems with time-periodic modulation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Punit GandhiCédric Beaume

Abstract

The Adler equation with time-periodic frequency modulation is studied. A series of resonances between the period of the frequency modulation and the time scale for the generation of a phase slip is identified. The resulting parameter space structure is determined using a combination of numerical continuation, time simulations, and asymptotic methods. Regions with an integer number of phase slips per period are separated by regions with noninteger numbers of phase slips and include canard trajectories that drift along unstable equilibria. Both high- and low-frequency modulation is considered. An adiabatic description of the low-frequency modulation regime is found to be accurate over a large range of modulation periods.

References

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May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dane TaylorJuan G Restrepo
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Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Spase Petkoski, Aneta Stefanovska
Feb 7, 2015·Physical Review Letters·Punit GandhiCédric Beaume

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Citations

Jul 25, 2019·Physical Review. E·A J Alvarez-SocorroEdgar Knobloch

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