Dynamics and bifurcation in networks: theory and applications of coupled differential equations

By:

Golubitsky, Martin

Contributor(s):

Stewart, Ian [co-author]

Series: Other titles in Applied Mathematics, 185Publication details: Philadelphia: SIAM-Society for Industrial and Applied Mathematics, 2023.Description: xxxi, 834p.: col. ill.: hbk.: 26cmISBN:

9781611977325

Subject(s):

DDC classification:

515.352 GOL

Summary: 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; 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. https://epubs.siam.org/doi/book/10.1137/1.9781611977332

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.352 GOL (Browse shelf(Opens below))	1	Available		033625

Browsing IIT Gandhinagar shelves, Collection: General Close shelf browser (Hides shelf browser)

Previous								Next
Previous	515.352 COD Theory of ordinary differential equations /	515.352 COD Theory of ordinary differential equations /	515.352 DEO Textbook of ordinary differential equations	515.352 GOL Dynamics and bifurcation in networks: theory and applications of coupled differential equations	515.352 HAS Classical methods in ordinary differential equations : with applications to boundary value problems	515.352 JOR Nonlinear ordinary differential equations : an introduction for scientists and engineers	515.352 KAT Introduction to the modern theory of dynamical systems, Vol.: 54	Next

Includes Bibliography and Index

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;
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.

https://epubs.siam.org/doi/book/10.1137/1.9781611977332

There are no comments on this title.

to post a comment.