Format:
1 Online-Ressource (xxxii, 834 pages)
ISBN:
9781611977332
Series Statement:
Other titles in applied mathematics 185
Content:
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.
Note:
Includes bibliographical references (pages 773-812) and index. - Description based on title page of print version
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader.
Additional Edition:
9781611977325
Additional Edition:
Erscheint auch als Druck-Ausgabe 9781611977325
Language:
English
Subjects:
Mathematics
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