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Spatiotemporal chaos from bursting dynamics.

Igal Berenstein1, Yannick De Decker1

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Spatiotemporal chaos emerges from mixed-mode oscillations in an extended Oregonator model. This bursting behavior, even in non-chaotic homogeneous systems, leads to spatiotemporal intermittency, alternating between fast and slow phases.

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Area of Science:

  • Chemical kinetics
  • Nonlinear dynamics
  • Complex systems

Background:

  • Mixed-mode oscillations (MMOs) are complex behaviors in dynamical systems.
  • Spatiotemporal chaos is a complex phenomenon observed in systems with spatial and temporal variations.

Purpose of the Study:

  • To investigate the emergence of spatiotemporal chaos from MMOs.
  • To analyze the role of bursting dynamics in generating chaotic behavior.

Main Methods:

  • Utilized an extended Oregonator model.
  • Analyzed the system's dynamics far from the Hopf bifurcation.

Main Results:

  • Demonstrated that bursting MMOs on a single attractor can induce spatiotemporal chaos.
  • Observed spatiotemporal intermittency, characterized by local alternations between fast and slow oscillation phases.
  • Showed this occurs even when the spatially homogeneous solution is non-chaotic.

Conclusions:

  • Bursting dynamics in MMOs are a potential source of spatiotemporal chaos.
  • This phenomenon is expected to be generic in activator-inhibitor oscillator systems with coupled slow variables.