Master stability for traveling waves on networks
Stefan Ruschel, Andrus Giraldo
TL;DR
This paper introduces a new framework using master stability curves to analyze the spectrum and stability of traveling waves on symmetric networks, applicable to both small and large systems.
Contribution
It develops a size-independent method for stability analysis of traveling waves on networks with symmetries, enhancing understanding of wave destabilization and multistability.
Findings
MSC method is independent of system size
Enables assessment of wave destabilization
Applicable to various network sizes and structures
Abstract
We present a framework for determining effectively the spectrum and stability of traveling waves on networks with symmetries, such as rings and lattices, by computing master stability curves (MSCs). Unlike traditional methods, MSCs are independent of system size and can be readily used to assess wave destabilization and multi-stability in small and large networks.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Numerical methods for differential equations · Advanced Mathematical Modeling in Engineering