Stochastic resonance in noisy maps as dynamical threshold-crossing systems

S. Matyjaśkiewicz , Janusz Hołyst , Andrzej Krawiecki

Abstract

Interplay of noise and periodic modulation of system parameters for the logistic map in the region after the first bifurcation and for the kicked spin model with Ising anisotropy and damping is considered. For both maps two distinct symmetric states are present that correspond to different phases of the period-2 orbit of the logistic map and to disjoint attractors of the spin map. The periodic force modulates the transition probabilities from any state to the opposite one symmetrically. It follows that the maps behave as threshold-crossing systems with internal dynamics, and stochastic resonance (maximum of the signal-to-noise ratio in the signal reflecting the occurrence of jumps between the symmetric states) in both models is observed. Numerical simulations agree qualitatively with analytic results based on the adiabatic theory.
Author S. Matyjaśkiewicz - [Politechnika Warszawska]
S. Matyjaśkiewicz,,
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, Janusz Hołyst (FP)
Janusz Hołyst,,
- Faculty of Physics
, Andrzej Krawiecki (FP / PCSD)
Andrzej Krawiecki,,
- Physics of Complex Systems Divison
Journal seriesPhysical Review E, ISSN 1539-3755
Issue year2000
Vol61
No5
Pages5134-5141
ASJC Classification3104 Condensed Matter Physics; 2613 Statistics and Probability; 3109 Statistical and Nonlinear Physics
DOIDOI:10.1103/PhysRevE.61.5134
URL http://link.aps.org/doi/10.1103/PhysRevE.61.5134
Score (nominal)35
Score sourcejournalList
Publication indicators Scopus Citations = 8; WoS Citations = 7; GS Citations = 8.0; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.123; WoS Impact Factor: 2006 = 2.438 (2) - 2007=2.484 (5)
Citation count*8 (2020-09-01)
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