Global spatiotemporal order and induced stochastic resonance due to a locally applied signal

TY - JOUR

T1 - Global spatiotemporal order and induced stochastic resonance due to a locally applied signal

AU - Samoletov, A.

AU - Chaplain, M.

AU - Levi, V.

N1 - dc.publisher: American Physical Society

PY - 2004/4

Y1 - 2004/4

N2 - We study the phenomenon of spatiotemporal stochastic resonance (STSR) in a chain of diffusively coupled bistable oscillators. In particular, we examine the situation in which the global STSR response is controlled by a locally applied signal and reveal a wave-front propagation. In order to deepen the understanding of the system dynamics, we introduce, on the time scale of STSR, the study of the effective statistical renormalization of a generic lattice system. Using this technique we provide a criterion for STSR, and predict and observe numerically a bifurcationlike behavior that reflects the difference between the most probable value of the local quasiequilibrium density and its mean value. Our results, tested with a chain of nonlinear oscillators, appear to possess some universal qualities and may stimulate a deeper search for more generic phenomena. © 2004 The American Physical Society

AB - We study the phenomenon of spatiotemporal stochastic resonance (STSR) in a chain of diffusively coupled bistable oscillators. In particular, we examine the situation in which the global STSR response is controlled by a locally applied signal and reveal a wave-front propagation. In order to deepen the understanding of the system dynamics, we introduce, on the time scale of STSR, the study of the effective statistical renormalization of a generic lattice system. Using this technique we provide a criterion for STSR, and predict and observe numerically a bifurcationlike behavior that reflects the difference between the most probable value of the local quasiequilibrium density and its mean value. Our results, tested with a chain of nonlinear oscillators, appear to possess some universal qualities and may stimulate a deeper search for more generic phenomena. © 2004 The American Physical Society

KW - Spatiotemporal stochastic resonance (STSR)

U2 - 10.1103/PhysRevE.69.045102

DO - 10.1103/PhysRevE.69.045102

M3 - Article

SN - 1539-3755

VL - 69

JO - Physical Review E: Statistical, nonlinear, and soft matter physics

JF - Physical Review E: Statistical, nonlinear, and soft matter physics

IS - 4

ER -