Stochastic resonance between propagating extended attractors

Journal Article · Thu Mar 24 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3577630· OSTI ID:21511483

Dell'Erba, M G; Izus, G G; Deza, R R ^[1]; Wio, H S ^[2]

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1. IFIMAR (UNMdP and CONICET), Dean Funes 3350, B7602AYL Mar del Plata (Argentina)
2. IFCA (UC and CSIC), Avda. de los Castros, s/n, E-39005 Santander (Spain)

The nonequilibrium Ising--Bloch (NIB) bifurcation of the FitzHugh-Nagumo (FHN) model with nondiffusing inhibitor provides a beautiful instance of an extended bistable system with counterpropagating fronts or Bloch walls (BW) as stable attractors. Moreover, these fronts are chiral and parity-related, and the barrier between them is the unstable stationary front or Ising wall (IW). Here we show by means of numerical simulation the presence of stochastic resonance in the transition between 1D BW of opposite chiralities when an additive noise is included. A scaling law of the signal-to-noise ratio (SNR) with the distance to the critical point is numerically observed and theoretically characterized in terms of an effective nonequilibrium potential.

• OSTI ID: 21511483
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1332; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADDITIVES
ATTRACTORS
BIFURCATION
BLOCH WALL
BORIDES
BORON COMPOUNDS
CHIRALITY
COMPUTERIZED SIMULATION
CRYSTAL MODELS
DIMENSIONLESS NUMBERS
DOMAIN STRUCTURE
FLUCTUATIONS
FUNCTIONAL ANALYSIS
ISING MODEL
MATHEMATICAL MODELS
MATHEMATICS
NICKEL BORIDES
NICKEL COMPOUNDS
NOISE
PARITY
PARTICLE PROPERTIES
RESONANCE
SCALING LAWS
SIGNAL-TO-NOISE RATIO
SIMULATION
STOCHASTIC PROCESSES
SYMMETRY
TRANSITION ELEMENT COMPOUNDS
VARIATIONS