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Published on: May 8, 2021
Adaptive coupling for achieving stable synchronization of chaos
1Università degli Studi di Napoli Parthenope, 80143 Napoli, Italy.
Summary
This study introduces an adaptive strategy for synchronizing coupled chaotic systems by adjusting coupling strength. Numerical simulations confirm this method successfully achieves stable synchronization under specific conditions.
Area of Science:
- Nonlinear Dynamics
- Chaos Theory
- Complex Systems
Background:
- Coupled chaotic systems often exhibit complex behaviors.
- Achieving stable synchronization in such systems is a significant challenge.
- Traditional methods may struggle with dynamic changes in system parameters.
Purpose of the Study:
- To propose and evaluate a novel adaptive strategy for synchronizing unidirectionally coupled chaotic systems.
- To dynamically adjust the coupling strength to ensure stable synchronized evolution.
- To identify conditions under which adaptive synchronization is successful.
Main Methods:
- Developing an adaptive control strategy to evolve coupling strength.
- Implementing a sender-receiver configuration with unidirectional coupling.
- Conducting numerical simulations to test the strategy's efficacy.
Main Results:
- The adaptive strategy dynamically adjusts coupling strength.
- Under certain conditions, the coupling strength converges to a value enabling synchronization.
- Successful adaptive synchronization of the receiver with the sender was demonstrated.
Conclusions:
- The proposed adaptive strategy is effective for achieving synchronization in coupled chaotic systems.
- Dynamic evolution of coupling strength offers a viable approach to stability.
- This method provides a robust framework for controlling chaotic system synchronization.
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