Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-12-18
Nonlinear Sciences
Chaotic Dynamics
10 pages, 21 EPS-figures, RevTex
Scientific paper
10.1103/PhysRevE.63.041105
We use a multifractal formalism to study the effect of stochastic resonance in a noisy bistable system driven by various input signals. To characterize the response of a stochastic bistable system we introduce a new measure based on the calculation of a singularity spectrum for a return time sequence. We use wavelet transform modulus maxima method for the singularity spectrum computations. It is shown that the degree of multifractality defined as a width of singularity spectrum can be successfully used as a measure of complexity both in the case of periodic and aperiodic (stochastic or chaotic) input signals. We show that in the case of periodic driving force singularity spectrum can change its structure qualitatively becoming monofractal in the regime of stochastic synchronization. This fact allows us to consider the degree of multifractality as a new measure of stochastic synchronization also. Moreover, our calculations have shown that the effect of stochastic resonance can be catched by this measure even from a very short return time sequence. We use also the proposed approach to characterize the noise-enhanced dynamics of a coupled stochastic neurons model.
Hu Chin-Kun
Silchenko Alexander
No associations
LandOfFree
Multifractal characterization of stochastic resonance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multifractal characterization of stochastic resonance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multifractal characterization of stochastic resonance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-181012