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Dynamics and Bifurcation in Networks - Theory and Applications of Coupled Differential Equations
Loot Price: R3,689
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Dynamics and Bifurcation in Networks - Theory and Applications of Coupled Differential Equations
Series: Other Titles in Applied Mathematics
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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.
General
Imprint: |
Society For Industrial & Applied Mathematics,U.S.
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Country of origin: |
United States |
Series: |
Other Titles in Applied Mathematics |
Release date: |
June 2023 |
Authors: |
Martin Golubitsky
• Ian Stewart
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Pages: |
836 |
ISBN-13: |
978-1-61197-732-5 |
Categories: |
Books
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LSN: |
1-61197-732-0 |
Barcode: |
9781611977325 |
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