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Ill-matched timescales in coupled systems can induce oscillation suppression
Sudhanshu Shekhar Chaurasia1, Animesh Biswas1, P Parmananda1
1Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.
Coupling dissimilar oscillators can lead to oscillation death (OD) when timescales differ greatly. Comparable timescales promote phase synchronization, with chaos enhancing OD. This offers a control strategy for stabilizing coupled systems.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
- Coupled Oscillators
Background:
- Coupled oscillators are fundamental in various scientific disciplines.
- Understanding how timescale differences affect coupled system dynamics is crucial.
- Existing research often assumes comparable timescales between coupled systems.
Purpose of the Study:
- To investigate the impact of timescale disparity on coupled oscillator behavior.
- To explore the transition from phase synchronization to oscillation death (OD).
- To determine the role of intrinsic dynamics (periodic vs. chaotic) in timescale-induced synchronization or suppression.
Main Methods:
- Coupling of real-world systems: mercury beating heart and Chua oscillators.
- Numerical simulations to model coupled oscillator dynamics.
- Systematic variation of timescale disparity as a control parameter.
Main Results:
- Large timescale mismatch induces oscillation death (OD) in coupled systems.
- Comparable timescales lead to phase synchronization.
- Oscillation suppression (OD) is more pronounced with chaotic oscillators due to their inherent timescale heterogeneity.
Conclusions:
- Timescale mismatch is a critical factor governing coupled oscillator behavior.
- Chaos can facilitate oscillation suppression in coupled systems.
- Manipulating timescales offers a potential control strategy to stabilize complex systems and prevent failure.
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