Dynamics and Bifurcation in Networks – Theory and Applications of Coupled Differential Equations by Golubitsky, Martin; Stewart, Ian;

Theory and Applications of Coupled Differential Equations

Sorozatcím: Other Titles in Applied Mathematics;

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A termék adatai:

Kiadó MP–SIA SIAM – Society for Industrial and Applied M
Megjelenés dátuma 2023. július 31.

ISBN 9781611977325
Kötéstípus Keménykötés
Terjedelem836 oldal
Méret 264x188x53 mm
Súly 2024 g
Nyelv angol

Kategóriák

Rövid leírás:

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.

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Hosszú leírás:

"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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