Publisher: Nova Science Publishers (January 2011)
ISBN-13: 9781611222609
ISBN-10: 161761873X
ISBN-13: 978-1617618734
Book
Description
Publication Date: January 2011 | Series: Computer
Networks
This book discusses the synchronisation in complex
networks. At first, the basic concepts of complex networks, including the
description of the network, the degree of the node, clustering coefficient, and
the average path length are introduced. When the initial states of nodes are
near enough to synchronisation manifold, the master stability function method
is applied to analyse its local stability. However, when the initial states of
nodes are randomly distributed, the Lyapunov function method is used to analyse
the global stability of synchronisation manifold. Furthermore, the connection
graph stability method is used to investigate the global stability of
synchronisation in complex networks with time-varying network topology.
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