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Oscillator death induced by amplitude-dependent coupling in repulsively coupled oscillators
Weiqing Liu1,2, Guibao Xiao1, Yun Zhu1
1School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, People's Republic of China.
Summary
Amplitude-dependent coupling can induce oscillator death (OD) in coupled Lorenz systems. Researchers determined the conditions for this transition, confirmed by simulations and an electronic circuit, offering insights into chaos control.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Complex systems
Background:
- Oscillator death (OD) is a phenomenon where coupled oscillators cease to oscillate.
- Amplitude-dependent coupling introduces a dependency of oscillator interaction on oscillation amplitude.
- Lorenz oscillators are a classic model for chaotic behavior.
Purpose of the Study:
- To investigate the influence of amplitude-dependent coupling on oscillator death in repulsively coupled Lorenz oscillators.
- To determine the parameter regimes leading to the transition to OD.
- To experimentally validate the theoretical findings using an electronic circuit.
Main Methods:
- Numerical simulations of two repulsively coupled Lorenz oscillators.
- Theoretical determination of parameter regimes for OD.
- Implementation of an electronic circuit to model the system.
Main Results:
- A transition from an oscillatory state to an OD state was observed with changes in constraint strengths of amplitude-dependent coupling.
- Theoretical predictions for the OD domain parameters closely matched numerical simulation results.
- The electronic circuit successfully demonstrated the transition to OD.
Conclusions:
- Amplitude-dependent coupling is a critical factor in inducing oscillator death in chaotic systems.
- The study provides a theoretical framework and experimental validation for OD transitions.
- Findings have potential applications in chaos control and oscillation suppression.
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