Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems.

نویسندگان

  • Marko Gosak
  • Matjaz Perc
چکیده

We show that chaotic states situated in the proximity of periodic windows in bifurcation diagrams are eligible for the observation of coherence resonance. In particular, additive Gaussian noise of appropriate intensity can enhance the temporal order in such chaotic states in a resonant manner. Results obtained for the logistic map and the Lorenz equations suggest that the presented mechanism of coherence resonance is valid beyond particularities of individual systems. We attribute the findings to the increasing attraction of imminent periodic orbits and the ability of noise to anticipate their existence and use a modified wavelet analysis to support our arguments.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 76 3 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2007