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Slow Passage through Multiple Parametric Resonance Tongues
Parametric excitation slow passage multiple resonances amplification
2015/8/27
This work concerns linear parametrically excited systems that involve multiple resonances. The property of such systems is that if the parameters are fixed and lie inside a resonance tongue, the motio...
Stochastic parametric resonance in shear flows
Stochastic parametric resonance shear flows
2009/11/11
Time-periodic shear flows can give rise to Parametric Instability (PI), as in the case of the Mathieu equation (Stoker, 1950; Nayfeh and Mook, 1995). This mechanism results from a resonance between th...
Soliton Coupling Driven by Phase Fluctuations in Auto-Parametric Resonance
Auto-Parametric Resonance whispering
2008/4/21
In this paper the interaction of sine-Gordon solitons and
mediating linear waves is modelled by a special case of
auto-parametric resonance, the Rayleigh-type self-excited
non-linear autonomous sys...