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Inhibition of chaotic escape from a potential well using small parametric modulations

1996; American Institute of Physics; Volume: 37; Issue: 11 Linguagem: Inglês

10.1063/1.531720

1527-2427

Ricardo Chacón, Francisco Balibrea, Miguel A. López,

Nonlinear Dynamics and Pattern Formation

It is shown theoretically for the first time that, depending on its period, amplitude, and initial phase, a periodic parametric modulation can suppress a chaotic escape from a potential well. The instance of the Helmholtz oscillator is used to demonstrate, by means of Melnikov’s method, that parametric modulations of the linear or quadratic potential terms inhibit chaotic escape when certain resonance conditions are met.