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Interacting stochastic oscillators.

Jiajun Zhang1, Zhanjiang Yuan, Junwei Wang

  • 1School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
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Noise-induced coherence in interacting stochastic resonance (SR) systems depends on coupling strength and noise. Strong coupling can lead to phase synchronization in tunable systems, while network topology impacts coherence in arrays.

Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Statistical Physics

Background:

  • Stochastic coherence (SC) and self-induced stochastic resonance (SISR) are key mechanisms for noise-induced coherent motion.
  • Understanding interactions between these noise-driven systems is crucial for complex system dynamics.

Purpose of the Study:

  • To investigate phase synchronization in coupled SC and SISR oscillators.
  • To explore the influence of coupling strength, noise intensity, and network topology on coherence and synchronization.

Main Methods:

  • Analysis of interacting SC and SISR oscillators under varying coupling strengths and noise intensities.
  • Examination of an array lattice of SISR oscillators with a focus on network topology degree.

Main Results:

Related Experiment Videos

  • Phase synchronization is sensitive to coupling strength and noise levels.
  • Strong coupling enables entrainment and phase-locking synchronization in tunable SISR oscillators up to a noise threshold.
  • An optimal network topology degree maximizes coherence and synchronization in SISR oscillator arrays.

Conclusions:

  • Coupling strength and noise intensity critically determine synchronization in interacting SC and SISR systems.
  • Tunable noise in SISR oscillators allows for controlled phase-locking synchronization.
  • Network topology plays a significant role in achieving optimal coherence and synchronization in complex oscillator networks.