Function projective synchronization of complex networks with asymmetric coupling via adaptive and pinning feedback...

Area of Science:

• Complex Networks
• Control Theory
• Nonlinear Systems

Background:

• Function projective synchronization (FPS) is crucial for coordinating complex network dynamics.
• Existing research often assumes symmetric coupling matrices, limiting applicability.
• Investigating asymmetric coupling is essential for more realistic network models.

Purpose of the Study:

• To investigate function projective synchronization (FPS) in complex networks with asymmetric coupling matrices.
• To develop novel criteria for achieving FPS using hybrid control strategies.
• To demonstrate the effectiveness of the proposed methods through illustrative examples.

Main Methods:

• Utilizing hybrid control, combining adaptive and pinning feedback control.
• Developing new criteria for function projective synchronization under asymmetric coupling.
• Applying these methods to analyze synchronization in complex network models.

Main Results:

• New criteria for achieving function projective synchronization were successfully derived.
• The proposed hybrid control methods effectively addressed asymmetric coupling.
• Demonstrated the practical applicability and effectiveness of the developed criteria.

Conclusions:

• The proposed hybrid control approach effectively achieves function projective synchronization in complex networks with asymmetric coupling.
• The developed criteria offer a valuable tool for analyzing and controlling synchronization in complex systems.
• This work advances the understanding of synchronization dynamics in realistically coupled complex networks.