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Complex Generalized Synchronization and Parameter Identification of Nonidentical Nonlinear Complex Systems.

Shibing Wang^1,2, Xingyuan Wang¹, Bo Han²

¹Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, China.

|March 26, 2016

Summary

This summary is machine-generated.

This study introduces complex generalized synchronization (CGS) for chaotic complex systems. The novel adaptive control scheme enables synchronization and parameter identification for non-identical systems with unknown parameters.

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Area of Science:

Nonlinear Dynamics and Control
Complex Systems Theory
Chaos Synchronization

Background:

Generalized synchronization (GS) is a key phenomenon in chaotic systems.
Extending synchronization to complex spaces is crucial for advanced applications.
Existing methods often require known system parameters.

Purpose of the Study:

To extend generalized synchronization (GS) to complex space, creating complex generalized synchronization (CGS).
To develop an adaptive control strategy for CGS and parameter identification in non-identical chaotic complex systems.
To validate the proposed scheme using memristor-based complex Lü and Lorenz systems.

Main Methods:

Lyapunov stability theory for controller design.
Adaptive controller and parameter update laws for CGS.
Numerical simulations to demonstrate synchronization and parameter identification.

Main Results:

Successfully demonstrated complex generalized synchronization (CGS) between non-identical chaotic complex systems.
Achieved parameter identification for systems with fully unknown parameters.
Validated the effectiveness of the adaptive control scheme through simulations.

Conclusions:

The proposed complex generalized synchronization (CGS) scheme is effective for synchronizing non-identical chaotic complex systems.
The adaptive control strategy allows for simultaneous synchronization and parameter identification.
This work advances chaos synchronization techniques in complex dynamical systems.