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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Direct and Retrograde Wave Propagation in Unidirectionally Coupled Wilson-Cowan Oscillators.

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Global input changes can reverse signal wave propagation in unidirectionally coupled biological systems. This finding explains how wave directionality is controlled by oscillator frequency differences near a homoclinic bifurcation.

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Area of Science:

  • Neuroscience
  • Computational Biology
  • Dynamical Systems Theory

Background:

  • Biological systems often display complex signal propagation patterns.
  • Unidirectional coupling typically implies unidirectional signal flow, yet direct and retrograde waves are observed.

Purpose of the Study:

  • To investigate the mechanism behind bidirectional signal wave propagation in unidirectionally coupled systems.
  • To explain how external factors can alter wave directionality.

Main Methods:

  • Modeling a chain of unidirectionally coupled Wilson-Cowan oscillators.
  • Analyzing limit cycle solutions and their bifurcations.
  • Investigating the effect of homogeneous global input on system dynamics.

Main Results:

  • Changes in global input were found to reverse wave propagation direction.
  • Oscillator intrinsic frequencies are modulated by global input.
  • Differential proximity to a homoclinic bifurcation creates frequency differences.

Conclusions:

  • Global input is a critical factor in controlling wave directionality in such systems.
  • Frequency differences, driven by proximity to bifurcations, dictate wave propagation direction.
  • This provides a novel explanation for complex wave dynamics in biological systems.