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Published on: June 9, 2023
Complete chaotic synchronization in mutually coupled time-delay systems
Alexandra S Landsman1, Ira B Schwartz
1Nonlinear Systems Dynamics Section, Plasma Physics Division, US Naval Research Laboratory, Code 6792, Washington, DC 20375, USA. alandsma@cantor.nrl.navy.mil
Summary
Researchers explain complete chaotic synchronization in coupled semiconductor lasers using generalized synchronization. This method simplifies analysis of systems with long time delays and no direct communication, predicting synchronization based on system parameters.
Area of Science:
- Nonlinear Dynamics
- Laser Physics
- Chaos Theory
Background:
- Complete chaotic synchronization is observed in coupled laser systems.
- Analyzing synchronization with long time delays and no direct communication is complex.
Purpose of the Study:
- To explain complete chaotic synchronization in a line of mutually coupled semiconductor lasers with long time delays.
- To simplify the analysis of synchronization stability by relating it to local laser dynamics.
Main Methods:
- Application of generalized synchronization concepts.
- Analysis of variational equations near the synchronization manifold.
- Derivation of a parameter-dependent synchronization condition.
Main Results:
- A simplified method for analyzing synchronization stability in time-delayed systems.
- A derived synchronization condition dependent on parameters like time delays, coupling strength, and dissipation.
- Prediction of synchronization behavior based on system parameters.
Conclusions:
- Generalized synchronization provides a framework to understand complete chaotic synchronization in coupled systems with delays.
- The derived conditions can predict and explain synchronization dependence on system parameters.
- The approach is applicable to other chaotic systems with coupling delays and indirect communication.
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