dorsal/arxiv
View SchemaGlobal Spatiotemporal Order and Induced Stochastic Resonance due to a Locally Applied Signal
| Authors | A. Samoletov, M. Chaplain, V. Levi |
|---|---|
| Categories | |
| ArXiv ID | physics/0207102 |
| URL | https://arxiv.org/abs/physics/0207102 |
| DOI | 10.1103/PhysRevE.69.045102 |
| Journal | Phys. Rev. E 69, 045102(R) (2004) |
Abstract
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 \textit{global} STSR response is controlled by a \textit{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 new criterion for STSR, and predict and observe numerically a bifurcation-like behaviour that reflects the difference between the most probable value of the local quasi-equilibrium 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
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"abstract": "We study the phenomenon of spatiotemporal stochastic resonance (STSR) in a\nchain of diffusively coupled bistable oscillators. In particular, we examine\nthe situation in which the \\textit{global} STSR response is controlled by a\n\\textit{locally applied signal} and reveal a wave front propagation. In order\nto deepen the understanding of the system dynamics, we introduce, on the time\nscale of STSR, the study of the effective statistical renormalization of a\ngeneric lattice system. Using this technique we provide a new criterion for\nSTSR, and predict and observe numerically a bifurcation-like behaviour that\nreflects the difference between the most probable value of the local\nquasi-equilibrium density and its mean value. Our results, tested with a chain\nof nonlinear oscillators, appear to possess some universal qualities and may\nstimulate a deeper search for more generic phenomena",
"arxiv_id": "physics/0207102",
"authors": [
"A. Samoletov",
"M. Chaplain",
"V. Levi"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.69.045102",
"journal_ref": "Phys. Rev. E 69, 045102(R) (2004)",
"title": "Global Spatiotemporal Order and Induced Stochastic Resonance due to a Locally Applied Signal",
"url": "https://arxiv.org/abs/physics/0207102"
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