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Stochastic resonance in coupled nonlinear dynamic elements.

M. Locher1, D. Cigna, E. R. Hunt

  • 1Department of Physics and Astronomy, Condensed Matter and Surface Sciences Program, Ohio University, Athens, Ohio 45701.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
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This study explores how thermal noise affects coupled diode resonators, revealing links between spatiotemporal stochastic resonance and kink-antikink pairs. Simulations and analytical models clarify synchronization and signal processing in nonlinear systems.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Condensed matter physics

Background:

  • Diode resonator arrays are susceptible to thermal noise.
  • Spatiotemporal stochastic resonance is a key phenomenon in nonlinear systems.
  • Kink-antikink dynamics play a role in array behavior.

Purpose of the Study:

  • To investigate the response of diffusively coupled diode resonators to thermal noise.
  • To examine the relationship between spatiotemporal stochastic resonance and kink-antikink pairs.
  • To analyze synchronization and signal processing in a Phi(4) field theory.

Main Methods:

  • Experimental investigation of diode resonator arrays.
  • Simulations using a coupled map lattice.
  • Analytical treatment of a Phi(4) field theory.

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Main Results:

  • Demonstrated the influence of thermal noise on resonator arrays.
  • Established a connection between spatiotemporal stochastic resonance and kink-antikink pairs.
  • Presented analytical findings on synchronization and signal processing.

Conclusions:

  • Thermal noise significantly impacts coupled diode resonators.
  • Kink-antikink pairs are crucial for spatiotemporal stochastic resonance.
  • Nonlinear coupling affects system dynamics and signal processing capabilities.