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Related Concept Videos

Oscillations In An LC Circuit01:31

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
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Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

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Cyclic Processes And Isolated Systems01:19

Cyclic Processes And Isolated Systems

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Generation of Local CA1 γ Oscillations by Tetanic Stimulation
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Aging and clustering in globally coupled oscillators.

Hiroaki Daido1, Kenji Nakanishi

  • 1Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Sakai 599-8531, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

This study investigates aging in coupled nonlinear oscillators, revealing a "desynchronization horn" where active oscillators form clusters. This phenomenon, driven by a "swing-by mechanism," is common in aging systems.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Coupled nonlinear oscillators exhibit aging phenomena, characterized by an increasing fraction of non-self-oscillatory elements.
  • Previous work established an aging transition in such systems.

Purpose of the Study:

  • To investigate the effect of aging on globally coupled Stuart-Landau oscillators.
  • To analyze the structure of the (K,p) phase diagram, focusing on the coupling strength (K) and ratio of inactive oscillators (p).

Main Methods:

  • Analysis of the (K,p) phase diagram for globally coupled Stuart-Landau oscillators.
  • Identification and characterization of a novel
  • desynchronization horn
  • region.
  • Investigation of the underlying
  • swing-by mechanism
  • for desynchronization.

Main Results:

  • A
  • desynchronization horn
  • region was identified in the (K,p) phase diagram.
  • Within this horn, active oscillators desynchronize into multiple clusters when uncoupled oscillators are nonisochronous.
  • Desynchronization was linked to diffusion-induced inhomogeneity via a
  • swing-by mechanism
  • .
  • The aging transition previously reported was also observed.

Conclusions:

  • The
  • desynchronization horn
  • is a key feature of aging in globally coupled Stuart-Landau oscillators.
  • This phenomenon, driven by a
  • swing-by mechanism
  • , highlights diffusion-induced inhomogeneity.
  • The identified features suggest the
  • desynchronization horn
  • may be a common characteristic in aging systems of coupled periodic oscillators.