Cubic nonlinearity arrests growth of the amplified chiral mode in space-time modulated parametric oscillators, yielding steady finite-amplitude circulating motion predicted by a symmetry-reduced averaged equation and confirmed in elastic plate simulations.
Guckenheimer, Dynamics of the Van der Pol equa- tion, IEEE Transactions on Circuits and Systems27, 983 (1980)
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Nonlinear stabilization of chiral modes in space-time modulated parametric oscillators
Cubic nonlinearity arrests growth of the amplified chiral mode in space-time modulated parametric oscillators, yielding steady finite-amplitude circulating motion predicted by a symmetry-reduced averaged equation and confirmed in elastic plate simulations.