{"product_id":"dynamics-and-bifurcation-in-networks-theory-and-applications-of-coupled-differential-equations-9781611977325","title":"Dynamics and Bifurcation in Networks: Theory and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn 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.\u003cbr\u003e\u003cbr\u003e\u003ci\u003eDynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations\u003c\/i\u003e 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.\u003cbr\u003e\u003cbr\u003eThis 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.","brand":"Society for Industrial \u0026 Applied Mathematics,U.S.","offers":[{"title":"Default Title","offer_id":50578265309527,"sku":"9781611977325","price":108.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781611977325.jpg?v=1746098584","url":"https:\/\/bookcurl.com\/products\/dynamics-and-bifurcation-in-networks-theory-and-applications-of-coupled-differential-equations-9781611977325","provider":"Book Curl","version":"1.0","type":"link"}