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Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations (Other Titles in Applied Mathematics)

Differential Equations

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Description

In recent years, there has been an explosion of interest in network-based modeling in many branches of science. This book synthesizes some of the common features of many such models, providing a general framework analogous to the modern theory of nonlinear dynamical systems. How networks lead to behavior not typical in a general dynamical system and how the architecture and symmetry of the network influence this behavior are the book's main themes. Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations is the first book to describe the formalism for network dynamics developed over the past 20 years. In it, the authors introduce a definition of a network and the associated class of "admissible" ordinary differential equations, in terms of a directed graph whose nodes represent component dynamical systems and whose arrows represent couplings between these systems. They also develop connections between network architecture and the typical dynamics and bifurcations of these equations and discuss applications of this formalism to various areas of science, including gene regulatory networks, animal locomotion, decision-making, homeostasis, binocular rivalry, and visual illusions. This book will be of interest to scientific researchers in any area that uses network models, which includes many parts of biology, physics, chemistry, computer science, electrical and electronic engineering, psychology, and sociology.

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Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations (Other Titles in Applied Mathematics)

Product type: ABIS_BOOK

Brand: Society for Industrial & Applied Mathematics,U.S.

Product Specifications

Format: hardcover
ASIN: 1611977320
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 31 July 2023
Listed Since: 21 April 2023

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Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations (Other Titles in Applied Mathematics)

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