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Suppression and generation of rhythms in conjugately coupled nonlinear systems
Moumita Dasgupta1, M Rivera, P Parmananda
1Department of Physics, St. Xavier's College, Mumbai 400001, India.
Chaos (Woodbury, N.Y.)
|July 2, 2010
Summary
Conjugate coupling in nonlinear systems can cause opposite effects: it can eliminate oscillations (amplitude death) or induce them (oscillation generation), even in nonidentical systems.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
- Systems Biology
Background:
- Coupling nonlinear systems can lead to complex emergent behaviors.
- Amplitude death and oscillation generation are two contrasting phenomena observed in coupled systems.
Purpose of the Study:
- To investigate the dual phenomena of amplitude death and oscillation generation induced by conjugate coupling in nonlinear systems.
- To demonstrate these effects in both identical and nonidentical oscillators.
Main Methods:
- Numerical simulations were employed to study the behavior of coupled systems.
- Two distinct models were utilized: an electrochemical corrosion model and the Hodgkin-Huxley neuronal model.
Main Results:
- Conjugate coupling induced amplitude death in systems initially in the oscillatory regime, causing oscillations to vanish.
- Conjugate coupling generated rhythms in systems initially in the quiescent (fixed point) domain.
- Both amplitude death and oscillation generation were observed even when the coupled systems exhibited different dynamics (nonidentical oscillators).
Conclusions:
- Conjugate coupling is a versatile mechanism capable of inducing diametrically opposite behaviors in nonlinear systems.
- The phenomena of amplitude death and oscillation generation are robust and applicable to diverse systems, including biological and electrochemical models.
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