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Bistable phase control via rocking in a nonlinear electronic oscillator.
Javier M Buldú1, K Staliunas, J A Casals
1Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom 11, 08222 Terrassa, Spain.
Chaos (Woodbury, N.Y.)
|January 4, 2007
Summary
We experimentally demonstrated rocking in a nonlinear electronic circuit. Driving the Chua circuit with an alternating phase signal resulted in phase bistability, locking the oscillation frequency and phase.
Area of Science:
- Nonlinear dynamics
- Electronic circuits
- Bifurcation theory
Background:
- Nonlinear oscillators exhibit complex behaviors under external forcing.
- Rocking, a phenomenon in nonlinear systems, can lead to unique dynamic regimes.
- Understanding phase locking and bistability is crucial for controlling oscillatory systems.
Purpose of the Study:
- To experimentally demonstrate and theoretically analyze the rocking phenomenon in a nonlinear electronic circuit.
- To investigate the phase bistability induced by periodic phase-alternating driving signals.
- To connect experimental observations with theoretical models of rocked bifurcations.
Main Methods:
- Experimental implementation using a Chua circuit driven by a phase-alternating periodic signal.
- Observation and analysis of the circuit's oscillation frequency and phase dynamics.
- Theoretical modeling using a normal form description (complex Landau equation) of a rocked Hopf bifurcation.
Main Results:
- Successful experimental demonstration of the effective rocking of a nonlinear electronic circuit.
- Observation of frequency locking to the driving signal and phase locking to one of two stable states.
- Confirmation of phase bistability in the rocked nonlinear oscillator.
Conclusions:
- The rocked Chua circuit exhibits controllable phase bistability.
- Theoretical analysis supports the experimental findings, explaining the observed phenomena through a rocked Hopf bifurcation model.
- This study provides insights into controlling the dynamics of nonlinear oscillators through tailored external forcing.
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