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Extreme events in FitzHugh-Nagumo systems arise from interior crises, acting as organizing centers for dynamics. This phenomenon is robust across different coupling topologies and system sizes.

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Area of Science:

  • Computational neuroscience
  • Dynamical systems theory

Background:

  • FitzHugh-Nagumo models exhibit complex dynamics.
  • Rare, recurrent extreme events are observed in coupled systems.

Purpose of the Study:

  • Investigate the underlying mechanisms of extreme events in FitzHugh-Nagumo systems.
  • Identify the organizing principles behind these rare dynamical deviations.

Main Methods:

  • Analysis of FitzHugh-Nagumo units with varying coupling topologies.
  • Application of concepts from mixed-mode oscillations and leaking chaotic systems.
  • Exploration of parameter space to identify dynamical regimes.

Main Results:

  • An interior crisis is identified as the organizing center for extreme events.
  • Extreme events emerge in specific parameter space regions.
  • The phenomenon demonstrates robustness with respect to system size.

Conclusions:

  • Interior crises are crucial for the emergence and self-termination of extreme events.
  • Understanding these crises provides insight into complex system dynamics.
  • The findings are relevant for diverse coupled nonlinear systems.