Erosion of synchronization: Coupling heterogeneity and network structure.
Per Sebastian Skardal1, Dane Taylor2, Jie Sun3
1Department of Mathematics, Trinity College, Hartford, CT 06106, USA; Departament d'Enginyeria Informatica i Matemátiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
Physica D. Nonlinear Phenomena
|December 3, 2016
Summary
Coupling frustration in heterogeneous networks prevents perfect phase synchronization. This study provides analytical predictions for synchronization erosion, considering various coupling functions and network structures.
Area of Science:
- Complex Systems
- Network Science
- Nonlinear Dynamics
Background:
- Coupling frustration in heterogeneous networks hinders perfect phase synchronization, even with strong coupling.
- Previous work established this limitation for heterogeneous topologies.
Purpose of the Study:
- To derive analytical predictions for the total erosion of synchronization in network-coupled phase oscillators.
- To extend existing results by considering heterogeneous coupling functions.
Main Methods:
- Analytical derivation of synchronization erosion based on network structure and coupling frustration.
- Numerical simulations of various network models to validate theoretical predictions.
- Analysis of fully heterogeneous, partially heterogeneous, and homogeneous coupling functions.
Main Results:
- Analytical predictions for total synchronization erosion were derived.
- The impact of different coupling functions (fully/partially heterogeneous, homogeneous) on synchronization erosion was quantified.
- Network structure and coupling choices significantly influence synchronization erosion.
Conclusions:
- The study provides a theoretical framework to predict synchronization loss in complex networks.
- Heterogeneous coupling functions can lead to complete loss of phase synchronization.
- Findings are applicable to diverse network-coupled systems.
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