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Published on: June 9, 2023
Adaptive synchronization of coupled chaotic oscillators.
Bhargava Ravoori1, Adam B Cohen, Anurag V Setty
1Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, MD 20742, USA.
Summary
We developed an adaptive method to maintain synchronization between chaotic oscillators with unknown, changing coupling. This technique also estimates the time-varying coupling strength in real-time.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Synchronization in complex systems
Background:
- Coupled nonlinear chaotic oscillators are fundamental in various scientific domains.
- Maintaining synchronization is crucial but challenging when coupling is unknown or drifts over time.
- Optoelectronic feedback loops are complex systems exhibiting high-dimensional chaotic dynamics.
Purpose of the Study:
- To experimentally demonstrate and numerically simulate an adaptive method for maintaining synchronization.
- To address challenges posed by unknown and time-varying coupling strengths.
- To develop a technique applicable to optoelectronic feedback systems.
Main Methods:
- Experimental demonstration of an adaptive synchronization technique.
- Numerical simulations of coupled nonlinear chaotic oscillators.
- Application to optoelectronic feedback loops with high-dimensional chaos.
Main Results:
- Successful maintenance of isochronal synchronization between coupled chaotic oscillators.
- Robustness demonstrated despite unknown and time-varying coupling.
- Accurate estimation of the time-varying coupling strength provided.
Conclusions:
- The adaptive method effectively maintains synchronization in chaotic systems with unpredictable coupling.
- The technique offers a reliable way to estimate unknown, time-varying coupling parameters.
- This work advances synchronization strategies for complex nonlinear systems.
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