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Induced synchronization of a mobile agent network by phase locking.

Lei Wang¹, Huan Shi, You-Xian Sun

¹Laboratory of Mathematics, Information and Behavior of the Ministry of Education, School of Mathematics and Systems Science, Beihang University, Beijing 100191, China. lwang@buaa.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

We studied mobile agents with chaotic oscillators and blinking couplings. Phase locking the blinking behavior significantly enhances network synchronization, unlike random patterns.

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Area of Science:

Complex Systems
Network Science
Chaos Theory

Background:

Mobile agents with chaotic oscillators present complex synchronization challenges.
Coupling mechanisms, such as blinking, influence network dynamics and stability.
Understanding synchronization is crucial for coordinating distributed systems.

Purpose of the Study:

To investigate synchronization in mobile agent networks with chaotic oscillators.
To analyze the impact of blinking coupling patterns on network synchronization.
To determine the influence of blinking parameters on synchronization convergence.

Main Methods:

Simulating a network of mobile agents, each with an identical chaotic oscillator.
Implementing a blinking coupling mechanism between neighboring agents.
Analyzing synchronization by assessing convergence time and phase locking behavior.

Main Results:

Phase locking the blinking coupling dramatically enhances network synchronizability.
Random blinking patterns show minimal impact on synchronization.
A common idle duration, independent of blinking period and duty ratio, was observed.

Conclusions:

Coordinated blinking patterns are key to achieving efficient synchronization in mobile chaotic oscillator networks.
The convergence time analysis reveals a universal idle duration, simplifying network design.
This research offers insights into controlling synchronization in distributed chaotic systems.