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Aging transition and universal scaling in oscillator networks
Hiroaki Daido1, Kenji Nakanishi
1Department of Mathematical Sciences, Graduate School of Engineering, University of Osaka Prefecture, Sakai 599-8531, Japan.
Physical Review Letters
|September 28, 2004
Summary
Aging causes self-sustained oscillators to stop oscillating. This study reveals how aging affects coupled periodic or chaotic oscillators, with macroscopic oscillation stopping dependent on coupling strength and described by a universal scaling function.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Statistical Physics
Background:
- Self-sustained oscillators are fundamental in various scientific domains.
- Oscillator systems can degrade over time, a phenomenon termed aging.
- Understanding aging effects is crucial for system reliability and predictability.
Purpose of the Study:
- To investigate the impact of aging on coupled periodic and chaotic oscillators.
- To analyze how aging influences macroscopic oscillation cessation.
- To derive and verify a universal scaling function for aging-induced oscillation stop.
Main Methods:
- Analytical derivation of a universal scaling function.
- Numerical verification of the derived scaling function.
- Simulation of globally and diffusively coupled oscillator networks.
Main Results:
- Aging leads to the cessation of macroscopic oscillations in coupled oscillators.
- The stopping behavior is dependent on the strength of the coupling.
- A universal scaling function accurately describes the observed phenomenon.
Conclusions:
- Aging is a critical factor affecting the stability of self-sustained oscillator networks.
- The derived universal scaling function provides a predictive model for oscillation cessation.
- This research offers insights into the robustness and failure mechanisms of complex oscillatory systems.