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External Excitation of Neurons Using Electric and Magnetic Fields in One- and Two-dimensional Cultures
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Critical phenomena in globally coupled excitable elements.

Hiroki Ohta1, Shin-Ichi Sasa

  • 1Department of Pure and Applied Sciences, University of Tokyo, 3-8-1 Komaba Meguro-ku, Tokyo 153-8902, Japan. hiroki@jiro.c.u-tokyo.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

This study investigates critical phenomena in coupled excitable systems, revealing insights into collective behavior near a saddle-node bifurcation. Findings align theoretical calculations of critical exponents with numerical experiments, relevant to jamming transitions.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Globally coupled excitable elements exhibit complex collective behaviors.
  • Understanding critical phenomena is key to characterizing system transitions.

Purpose of the Study:

  • To investigate critical phenomena in globally coupled excitable elements.
  • To analyze the collective saddle-node bifurcation and its associated fluctuations.

Main Methods:

  • Theoretical calculation of critical exponents.
  • Analysis of interspike interval fluctuations near the bifurcation.
  • Comparison with numerical experimental data.

Main Results:

  • Theoretical critical exponents were derived.
  • Calculated exponents show good agreement with numerical results.
  • The study provides a framework for understanding collective bifurcations.

Conclusions:

  • The theoretical model accurately describes critical phenomena in these systems.
  • Results offer relevance to the study of jamming transitions.
  • This work advances the understanding of collective dynamics in excitable media.