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Experimental evidence of anomalous phase synchronization in two diffusively coupled Chua oscillators
Syamal Kumar Dana1, Bernd Blasius, Jürgen Kurths
1Instrument Division, Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032, India. skdana@iicb.res.in
Chaos (Woodbury, N.Y.)
|July 11, 2006
Summary
Researchers explored phase synchronization in coupled Chua oscillators, discovering diverse pathways including in-phase and antiphase states. An anomalous route showed initial frequency difference increase before synchronization, confirmed by simulations.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Chaos theory
Background:
- Coupled oscillators exhibit complex synchronization behaviors.
- Chua oscillators are widely used models for studying nonlinear dynamics and chaos.
- Understanding transitions to synchronization is crucial in various scientific fields.
Purpose of the Study:
- To investigate the routes to phase synchronization in two nonidentical, diffusively coupled Chua oscillators.
- To experimentally and numerically characterize different synchronization states and transitions.
- To identify and analyze anomalous synchronization behaviors.
Main Methods:
- Experimental implementation using two coupled Chua oscillators.
- Varying parameterization to observe different synchronization states.
- Numerical simulations of the coupled Chua oscillator model.
- Analysis of frequency differences and synchronization patterns.
Main Results:
- Observed multiple routes to phase synchronization: in-phase, out-of-phase, and antiphase.
- Identified an intermediate desynchronization regime with frequency fluctuations.
- Reported the first experimental evidence of an anomalous transition to phase synchronization.
- Demonstrated an initial increase in frequency difference with coupling strength in the anomalous route.
- Confirmed experimental findings through numerical simulations.
Conclusions:
- Diffusively coupled nonidentical Chua oscillators exhibit diverse synchronization phenomena.
- Anomalous transitions to phase synchronization can occur, challenging conventional understanding.
- Numerical simulations effectively support and explain the observed experimental results.
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