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Rapidly switched random links enhance spatiotemporal regularity.

Arghya Mondal¹, Sudeshna Sinha, Juergen Kurths

¹Centre for Dynamics of Complex Systems, University of Potsdam, Potsdam D-14415, Germany.

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

|March 5, 2009

Summary

Network rewiring frequency impacts dynamics. Slow rewiring leads to spatiotemporal chaos, while fast rewiring creates a fixed point, revealing the importance of link dynamics in complex networks.

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Area of Science:

Complex Systems
Network Science
Nonlinear Dynamics

Background:

Investigating spatiotemporal dynamics in coupled chaotic maps is crucial for understanding complex systems.
Rewiring network connections can significantly alter system behavior.
The influence of dynamic link changes on network properties remains an active area of research.

Purpose of the Study:

To explore the spatiotemporal properties of a lattice of chaotic maps with rewiring connections.
To determine the effect of rewiring frequency on network dynamics.
To understand how the time dependence of links influences network behavior.

Main Methods:

Simulating a lattice of chaotic maps with random rewiring of coupling connections.
Systematically varying the rewiring probability (p) and frequency.
Analyzing the resulting network dynamics to identify different regimes.

Main Results:

Two distinct regimes were observed: spatiotemporal chaos with slow rewiring and a spatiotemporal fixed point with fast rewiring.
A sharp transition from a fixed point to chaos was identified as rewiring frequency decreased.
Network dynamics are sensitive to both the static and dynamic properties of rewiring.

Conclusions:

The frequency of network rewiring is a critical factor in determining spatiotemporal properties.
Both the fraction of random links and their temporal dynamics are essential for characterizing complex networks.
Dynamic rewiring introduces a new dimension to understanding network behavior beyond static topological features.