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Quorum sensing via static coupling demonstrated by Chua's circuits.

Harpartap Singh1, P Parmananda

  • 1Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400 076, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 16, 2013
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Summary

This study reveals that static coupling, not just dynamic coupling, can trigger quorum sensing behavior in systems. Experiments with Chua's circuits demonstrate both the emergence and extinction of global oscillations through this static coupling mechanism.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Chaos theory

Background:

  • Quorum sensing typically relies on dynamic coupling between system elements.
  • Previous work has explored static and dynamic coupling terms in system interactions.
  • Distinguishing coupling types depends on the relative timescales of surrounding and element dynamics.

Purpose of the Study:

  • To demonstrate that static coupling can also induce quorum sensing behavior.
  • To investigate quorum sensing transitions under static coupling conditions.
  • To experimentally and numerically validate the findings using Chua's circuits.

Main Methods:

  • Defining static coupling based on fast surrounding dynamics relative to element dynamics.
  • Utilizing a series of Chua's circuits, scaling from three to 20 units.
  • Performing numerical simulations with up to 100 Chua's circuits.

Main Results:

  • Experimental evidence of quorum sensing behavior induced by static coupling.
  • Observed transitions include the emergence and extinction of global oscillations (period-1).
  • Numerical simulations confirmed and validated the experimental observations.

Conclusions:

  • Static coupling provides an alternative mechanism for achieving quorum sensing.
  • The findings expand the understanding of population-based phenomena in coupled systems.
  • Chua's circuits serve as a viable model for studying these coupling dynamics and transitions.