Multifractal characterization of stochastic resonance

摘要: We use a multifractal formalism to study the effect of stochastic resonance in noisy bistable system driven by various input signals. To characterize response we introduce new measure based on calculation singularity spectrum for return time sequence. wavelet transform modulus maxima method computations. It is shown that degree multifractality defined as width can be successfully used complexity both case periodic and aperiodic (stochastic or chaotic) show driving force, change its structure qualitatively becoming monofractal regime synchronization. This fact allows us consider synchronization also. Moreover, our calculations have catched this even from very short also proposed approach noise-enhanced dynamics coupled neurons model.