Annihilation of Chaotic Attractors by Slow Parametric Modulation

نویسنده

  • ALEXANDER N. PISARCHIK
چکیده

The phenomenon of on-off intermittency is studied in two coupled double-well Duffing oscillators with stochastic driving. We demonstrate that by using slow harmonic modulation applied to an accessible system parameter, the intermittent chaotic attractors can be completely eliminated. The influence of noise is also investigated. Power-law scaling of the average laminar time with a critical exponent of -1 as a function of both the amplitude and frequency of the control modulation is found near the onset of intermittency, that is a signature of on-off intermittency. Key-Words: Duffing oscillator, On-off intermittency, Parametric modulation

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تاریخ انتشار 2004