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2:1 Resonance in the delayed nonlinear Mathieu equation
Averaging Degenerate Hopf Delay Nonlinear Mathieu Parametric excitation
2015/8/27
We investigate the dynamics of a delayed nonlinear Mathieu equation:¨ x + (δ + εα cost)x + εγx 3 = εβx(t − T) in the neighborhood of δ = 1/4. Three different phe-nomena are combined in this syst...
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...