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Dynamics of Networks

Theory and Applications

Ernesto Estrada (Autor)

Buch | Hardcover

500 Seiten

2016
Crc Press Inc (Verlag)
978-1-4665-9390-9 (ISBN)

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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.

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.

Erscheint lt. Verlag	15.2.2016
Reihe/Serie	Discrete Mathematics and Its Applications
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Naturwissenschaften ► Physik / Astronomie
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-4665-9390-3 / 1466593903
ISBN-13	978-1-4665-9390-9 / 9781466593909
Zustand	Neuware