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Self-induced-stochastic-resonance breathing chimeras.

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Researchers discovered a new chimera state, self-induced-stochastic-resonance breathing chimera (SISR-BC), which is resilient to noise and has potential applications in neuronal networks.

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Area of Science:

  • Nonlinear dynamics and complex systems
  • Theoretical physics
  • Computational neuroscience

Background:

  • Classical chimera states exhibit coexisting coherent and incoherent behavior in coupled oscillator systems.
  • Coherence-resonance chimera (CRC) combines coherence resonance with spatial chimera properties.
  • Self-induced stochastic resonance (SISR) is a distinct phenomenon from coherence resonance.

Purpose of the Study:

  • Introduce and characterize a novel chimera state: self-induced-stochastic-resonance breathing chimera (SISR-BC).
  • Investigate the fundamental mechanisms underlying SISR-BC, differentiating it from CRC.
  • Explore the resilience and properties of SISR-BC, particularly its response to stochastic perturbations.

Main Methods:

  • Theoretical modeling of coupled oscillator systems.
  • Numerical simulations to observe chimera state dynamics.
  • Analysis of symmetry breaking in subsystem coupling.
  • Investigation of the role of self-induced stochastic resonance (SISR).

Main Results:

  • SISR-BC combines SISR, symmetry breaking in rotational coupling, and breathing chimera dynamics.
  • SISR-BC exhibits nonstationary periodic dynamics of coherent-incoherent patterns.
  • This new chimera state demonstrates significant resilience to stochastic perturbations.
  • SISR-BC persists away from the Hopf bifurcation threshold and attracts random initial conditions.

Conclusions:

  • SISR-BC represents a novel class of chimera states with unique properties.
  • The mechanism of SISR contributes to the robustness of SISR-BC against noise.
  • The findings suggest potential applications in information processing within neuronal networks.