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Outer synchronization between two complex dynamical networks with discontinuous coupling.

Yongzheng Sun¹, Wang Li, Donghua Zhao

¹School of Sciences, China University of Mining and Technology, Xuzhou 221008, People's Republic of China. yzsung@gmail.com

Chaos (Woodbury, N.Y.)

|January 3, 2013

Summary

This summary is machine-generated.

This study explores outer synchronization in complex networks with intermittent coupling. Networks can synchronize even when partially off, with speed depending on the on-off rate.

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Area of Science:

Complex networks
Nonlinear dynamics
Synchronization theory

Background:

Complex networks are fundamental to many systems.
Understanding synchronization is crucial for network behavior.
Discontinuous coupling presents unique challenges.

Purpose of the Study:

To investigate outer synchronization in complex networks with discontinuous coupling.
To establish conditions for complete and generalized outer synchronization.
To analyze the impact of intermittent coupling on synchronization dynamics.

Main Methods:

Employing stability theory of differential equations.
Developing theoretical conditions for outer synchronization.
Utilizing numerical simulations to validate findings.

Main Results:

Sufficient conditions for complete and generalized outer synchronization derived.
Demonstrated that networks can achieve outer synchronization despite intermittent coupling.
Synchronization speed is shown to be proportional to the on-off rate.

Conclusions:

Outer synchronization is achievable in complex networks with discontinuous coupling.
Intermittent coupling does not preclude synchronization and influences its speed.
The theoretical framework provides a robust method for analyzing such systems.