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Master Stability Functions for Synchronized Coupled Systems
We show that many coupled oscillator array configurations considered in the literature can be put into a simple form so that determining the stability of the synchronous state can be done by a master
Synchronization of chaotic systems.
TLDR
The historical timeline of this topic back to the earliest known paper is established and it is shown that building synchronizing systems leads naturally to engineering more complex systems whose constituents are chaotic, but which can be tuned to output various chaotic signals.
MASTER STABILITY FUNCTIONS FOR SYNCHRONIZED COUPLED SYSTEMS
We show that many coupled oscillator array configurations considered in the literature can be put into a simple form so that determining the stability of the synchronous state can be done by a master
Synchronization in small-world systems.
TLDR
Applied to networks of low redundancy, the small-world route produces synchronizability more efficiently than standard deterministic graphs, purely random graphs, and ideal constructive schemes.
Synchronizing chaotic circuits
TLDR
The authors describe the conditions necessary for synchronizing a subsystem of one chaotic system with a separate chaotic system by sending a signal from the chaotic system to the subsystem by sending signals from the Chaos Junction.
Fundamentals of synchronization in chaotic systems, concepts, and applications.
TLDR
Results from various areas of chaotic synchronization are collected in a review article format with a tutorial emphasis, with particular focus on the recent notion of synchronous substitution-a method to synchronize chaotic systems using a larger class of scalar chaotic coupling signals than previously thought possible.
Cluster synchronization and isolated desynchronization in complex networks with symmetries.
TLDR
A new framework and techniques are presented and techniques for the analysis of network dynamics that shows the connection between network symmetries and cluster formation are developed that could guide the design of new power grid systems or lead to new understanding of the dynamical behaviour of networks ranging from neural to social.
Cascading synchronized chaotic systems
Complete characterization of the stability of cluster synchronization in complex dynamical networks
TLDR
A method to find and analyze all of the possible cluster synchronization patterns in a Laplacian-coupled network, by applying methods of computational group theory to dynamically equivalent networks is described and validated in an optoelectronic experiment that confirms the synchronization patterns predicted by the theory.
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