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Related Concept Videos

Oscillations In An LC Circuit01:30

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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
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Oscillation death in asymmetrically delay-coupled oscillators.

Wei Zou1, Yang Tang, Lixiang Li

  • 1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China. zouwei2010@mail.hust.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 12, 2012
PubMed
Summary
This summary is machine-generated.

Introducing asymmetry into coupled nonlinear oscillators significantly expands the parameter space for oscillation death (OD). This coupling asymmetry enhances OD by increasing the regions of coupling delay and strength, offering new insights into natural system dynamics.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Network Science

Background:

  • Symmetrically coupled oscillators are a fundamental model in natural systems.
  • Understanding oscillation death (OD) is crucial for analyzing system stability.
  • The impact of coupling asymmetry on OD in delay-coupled systems remains underexplored.

Purpose of the Study:

  • To investigate the effect of coupling asymmetry on delay-induced oscillation death (OD) in coupled nonlinear oscillators.
  • To quantify the influence of asymmetry on the parameter space for OD.
  • To explore the generality of these findings in chaotic systems.

Main Methods:

  • Analysis of coupled nonlinear oscillators with varying degrees of coupling asymmetry.
  • Systematic exploration of parameter space, including coupling delay and coupling strength.
  • Numerical simulations using delay-coupled chaotic Rössler oscillators.

Main Results:

  • Asymmetrical coupling substantially enlarges the parameter domain for oscillation death (OD).
  • The OD region expands with increasing asymmetry (decreasing α), following a power law scaling R=α(γ) with γ≈-1.19.
  • The minimum intrinsic frequency for OD decreases monotonically with asymmetry and saturates as asymmetry becomes dominant.

Conclusions:

  • Coupling asymmetry is a key factor in controlling delay-induced oscillation death in coupled nonlinear systems.
  • The findings provide a deeper understanding of dynamics in asymmetrically coupled systems.
  • This research offers potential applications in designing and controlling complex oscillatory networks.