Dynamics of Networks
Theory and Applications
1st Edition
Published on 15. February 2016
Book
Hardback
500 pages
978-1-4665-9390-9 (ISBN)
Description
This multidisciplinary, self-contained reference deals with dynamical processes in networked systems. After introducing the basic concepts and definitions of dynamical systems, the author establishes the algebraic background needed to understand dynamical processes on networks. He then examines models of dynamical processes on networks, the analysis of consensus models, the analysis of synchronization in real networked systems, the replicator-mutator model in networked systems, epidemic models, and social network models. The book also discusses the necessity of extending current models to include nonrandom long-range interactions.
More details
Series
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Applied mathematicians, physicists, and biomedical and electrical engineers interested in complex networks; senior undergraduate and graduate students in mathematics, physics, and engineering.
Illustrations
300 s/w Abbildungen
300 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
ISBN-13
978-1-4665-9390-9 (9781466593909)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Person
Content
Preliminaries and Mathematical Background. Introduction to Dynamical Processes. On Models of Networks. Diffusion Processes in Networks. Consensus Analysis in Networks. Rendezvous, Flocking, and Leader-Follower Dynamics in Networked Systems. Synchronization in Complex Networks. Evolutionary Dynamics on Networks: The Replicator-Mutator Model. Dynamical Processes in Biomolecular Networks. Epidemic Spreading in Networks. Social Dynamical Processes. Dynamical Systems with Nonrandom Long-Range Interactions. What Next? Dynamics in Hypernetworks and Multiplexes.