Dynamics of Networks: Theory and Applications

by Ernesto Estrada

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.

500 pages, Hardcover

First published July 1, 2013

About the author

Professor Estrada has an internationally leading reputation for shaping and developing the study of complex networks. His expertise ranges in the areas of network structure, algebraic network theory, dynamical systems on networks and the study of random models of networks. He has a distinguished track record of high-quality publications, which has attracted more than 8,000 citations. His h-index (number of papers with at least h citations) is 51. His publications are in the areas of network theory and its applications to social, ecological, engineering, physical, chemical and biological real-world problems. Professor Estrada has published two text books on network sciences both published by Oxford University Press in 2011 and 2015, respectively. He has demonstrated a continuous international leadership in his field where he has been invited and plenary speaker at the major conferences in network sciences and applied mathematics.