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Heterogeneity-provoked pulse generation in coupled excitable elements.

Hitoshi Mahara1,2, Yuki Kimura3, P Parmananda4

  • 1<a href="https://ror.org/0126xah18">Chiba University Hospital</a>, Inohana, Chuo, Chiba 263-8677, Japan.

Physical Review. E
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Summary
This summary is machine-generated.

Researchers numerically studied pulse generation in coupled excitable oscillators. Introducing parametric heterogeneity enabled controlled pulse propagation, with coupling flux being vital for this phenomenon.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Computational physics

Background:

  • Spatially extended systems often exhibit complex behaviors like pulse generation.
  • Understanding the mechanisms controlling pulse propagation is crucial in various scientific fields.

Purpose of the Study:

  • To numerically investigate pulse generation in an array of coupled excitable oscillators.
  • To explore the role of parametric heterogeneity in controlling pulse propagation.
  • To analyze the influence of coupling flux on pulse dynamics.

Main Methods:

  • Numerical simulations of a spatially extended array of coupled excitable oscillators.
  • Introduction of parametric heterogeneity between system partitions.
  • Analysis of a simplified two-oscillator model.
  • Linear stability analysis for theoretical validation.

Main Results:

  • Pulse generation was successfully achieved by introducing parametric heterogeneity.
  • The profile of propagating pulses was regulated by the parameter mismatch.
  • Coupling flux was identified as a critical factor for pulse propagation.
  • Simulation results were analytically validated.

Conclusions:

  • Parametric heterogeneity is an effective method for controlling pulse generation and propagation in coupled excitable systems.
  • The coupling flux plays a fundamental role in enabling pulse propagation.
  • The findings provide insights into the dynamics of complex oscillatory systems.