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Partial time-delay coupling enlarges death island of coupled oscillators
1Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China.
Summary
Introducing partial time-delay coupling in complex systems, this study reveals it significantly expands the "oscillation death island." A smaller ratio of time-delay coupled oscillators leads to a larger death island, demonstrating a universal amplification scaling.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Coupling is fundamental to complex system dynamics and function.
- Understanding coupling's impact is crucial for system control and design.
Purpose of the Study:
- To investigate the effect of partial time-delay coupling on coupled oscillator systems.
- To analyze how varying the proportion of time-delay coupled oscillators influences system dynamics.
Main Methods:
- Introduction of a novel partial time-delay coupling strategy.
- Systematic analysis of coupled oscillator dynamics under this new coupling form.
- Mathematical derivation and numerical verification of scaling laws.
Main Results:
- Partial time-delay coupling significantly enlarges the parameter space domain of oscillation death.
- A smaller ratio of time-delay coupled oscillators results in a larger oscillation death domain.
- A universal amplification scaling, R=p(-1), was discovered for large systems.
Conclusions:
- Partial time-delay coupling offers a powerful mechanism to control system dynamics.
- Even small amounts of time-delay coupling can dramatically alter the behavior of complex systems.
- Findings suggest novel strategies for engineering system stability and function.
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