Synchronization of noisy systems by stochastic signals

Journal Article · Thu Jul 01 00:00:00 EDT 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.60.284· OSTI ID:351864

Neiman, A; Schimansky-Geier, L; Moss, F ^[1]; Schimansky-Geier, L ^[2]; Shulgin, B; Collins, J J ^[3]

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1. Center for Neurodynamics, University of Missouri at St. Louis, St. Louis, Missouri 63121 (United States)
2. Institute of Physics, Humboldt University at Berlin, Invalidenstrasse 110, D-10115 Berlin (Germany)
3. Center for BioDynamics and Department of Biomedical Engineering, Boston University, 44 Cummington Street, Boston, Massachusetts 02215 (United States)

We study, in terms of synchronization, the {ital nonlinear response} of noisy bistable systems to a stochastic external signal, represented by Markovian dichotomic noise. We propose a general kinetic model which allows us to conduct a full analytical study of the nonlinear response, including the calculation of cross-correlation measures, the mean switching frequency, and synchronization regions. Theoretical results are compared with numerical simulations of a noisy overdamped bistable oscillator. We show that dichotomic noise can instantaneously synchronize the switching process of the system. We also show that synchronization is most pronounced at an optimal noise level{emdash}this effect connects this phenomenon with aperiodic stochastic resonance. Similar synchronization effects are observed for a stochastic neuron model stimulated by a stochastic spike train. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 351864
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 60, Issue 1; Other Information: PBD: Jul 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SYNCHRONIZATION
SIGNALS
STOCHASTIC PROCESSES
OSCILLATORS
MARKOV PROCESS
NOISE
NERVE CELLS