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Noise-induced phase bistability via stochastic rocking
Kestutis Staliunas1, Germán J de Valcárcel, Javier M Buldú
1Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom 11, 08222 Terrassa, Spain.
Physical Review Letters
|March 5, 2009
Summary
Randomly modulated driving causes a nonlinear oscillator to lock into one of two stable phases. This noise-induced bistable phase locking was confirmed through theoretical analysis, simulations, and experiments.
Area of Science:
- Nonlinear dynamics
- Statistical physics
- Complex systems
Background:
- Nonlinear oscillators exhibit complex behaviors under external forcing.
- Understanding phase transitions and stability in driven systems is crucial.
- Random modulation can introduce unique dynamics not seen in deterministic systems.
Purpose of the Study:
- To investigate the impact of randomly modulated harmonic driving on nonlinear oscillator phase behavior.
- To theoretically predict and experimentally verify noise-induced phase locking phenomena.
Main Methods:
- Multiple-scale analysis to derive an effective model.
- Numerical simulations using a stochastic Stuart-Landau model.
- Experimental verification using a nonlinear electronic circuit.
Main Results:
- The system was found to be equivalent to a rocked oscillator.
- The modulated driving induces bistable phase locking.
- The locked phases are in quadrature with the driving signal.
Conclusions:
- Randomly modulated driving can lead to predictable, noise-induced bistable states in nonlinear oscillators.
- The findings are consistent across theoretical, numerical, and experimental approaches.
- This work provides insights into controlling and understanding complex system dynamics.
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