Control of chaotic synchronization in complex semiconductor lasers network: leveraging network structure symmetry

Area of Science:

• Nonlinear dynamics and control systems
• Optical communications and networks
• Complex systems analysis

Background:

• Controlling complex networks, particularly semiconductor laser (SL) networks, presents significant challenges.
• Achieving stable cluster synchronization in these networks is often hindered by topological complexities.
• Existing methods may require substantial modifications to network structures.

Purpose of the Study:

• To propose a novel control scheme for achieving stable isochronous cluster synchronization in complex SL networks.
• To enable synchronization among arbitrary SLs with minimal alterations to the existing network topology.
• To enhance the generalization capabilities of complex SL networks for practical applications.

Main Methods:

• Implementation of a control scheme involving the addition of new links and modification of connection weights.
• Precise manipulation of the symmetric properties of network topology.
• Utilizing controlled cluster synchronization for advanced functionalities.

Main Results:

• Stable isochronous cluster synchronization achieved among arbitrary SLs in complex networks.
• Demonstrated flexibility, applicability, and efficiency of the proposed control scheme.
• Successful application in image encryption and decryption through controlled cluster synchronization.

Conclusions:

• The proposed control scheme offers a robust and efficient method for cluster synchronization in complex SL networks.
• This approach facilitates enhanced network control and broadens applications in optical communication and information security.
• The scheme's adaptability to existing network structures makes it highly practical for real-world implementation.