{"product_id":"the-open-dynamics-of-braitenberg-vehicles-isbn-9780262548199","title":"The Open Dynamics of Braitenberg Vehicles","description":"\u003cb\u003eAn introduction to dynamical systems theory, a detailed mathematical analysis of pairs of Braitenberg vehicles, and a look at how these results apply to the study of physical and biological organisms.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003ePowering the concept of a Braitenberg vehicle, developed in 1984 by the Italian-Austrian cyberneticist Valentino Braitenberg, is the idea that simple systems can produce complex behaviors. A pair of interacting Braitenberg vehicles is simple, but they can meander, wind around, and follow each another in a number of ways. In this book, Scott Hotton and Jeff Yoshimi show how dynamical systems theory—in particular the theory of open dynamic systems—can be used to analyze pairs of these vehicles in great detail. The result of the authors’ long-standing collaboration at the intersection of mathematics, philosophy, cognitive science, and biology, \u003ci\u003eThe Open Dynamics of Braitenberg Vehicles\u003c\/i\u003e offers a rigorous mathematical foundation for embodied cognition, especially when it comes to two-way interactions between an agent and its environment.\u003cbr\u003e\u003cbr\u003eFollowing an introduction to dynamical systems theory, and the most detailed mathematical analysis of Braitenberg vehicles to date, Hotton and Yoshimi discuss how their results can be applied to the study of physical and biological systems. They also describe their work's relevance to debates in the philosophy of embodied cognitive science. Combining the best features of embodied and representational approaches to cognitive science, complete with code and simulations, \u003ci\u003eThe Open Dynamics of Braitenberg Vehicles\u003c\/i\u003e provides an extremely accessible and visually rich look into the workings and applications of open dynamical systems.Preface\u003cbr\u003eIntroduction\u003cbr\u003e1 Specications for the Braitenberg Vehicles\u003cbr\u003e2 The open dynamical systems for a pair of Braitenberg vehicles\u003cbr\u003e3 The relative equilibria of the total dynamical system\u003cbr\u003e4 Revolving type relative equilibria and their bifurcations\u003cbr\u003e5 Translating type relative equilibria and their bifurcations\u003cbr\u003e6 Relation to naturally occurring systems\u003cbr\u003eEpilogue\u003cbr\u003eA Solutions to the approximate bifurcation equation\u003cbr\u003eB Computing the matrix J(r;)\u003cbr\u003eC The eigenvalues and eigenvectors for J(r;) and JT“Even as someone who has been teaching students about Braitenberg vehicles for years, it never occurred to me that I needed a book like this one: a rigorous mathematical analysis of their perception and behavior. \u003ci\u003eThe Open Dynamics of Braitenberg Vehicles\u003c\/i\u003e is a tour de force of embodied cognitive science. Highly recommended.”\u003cbr\u003e\u003cb\u003e—Anthony Chemero, Distinguished Research Professor of Philosophy and Psychology, University of Cincinnati\u003c\/b\u003e\u003cbr\u003e \u003cbr\u003e\"\u003ci\u003eThe Open Dynamics of Braitenberg Vehicles\u003c\/i\u003e is simultaneously a friendly induction to open dynamics and an introduction to the formalization and analysis of Braitenberg vehicles. The book confirms and explains in depth Braitenberg's claim that complexity can appear from the interaction of simple elements and serves as an excellent example of the detailed analysis that can be done with behavioral and cognitive models.”\u003cbr\u003e\u003cb\u003e—Ignacio Raño Noal, Department of Electronics and Computing, University of Santiago de Compostela, Spain\u003c\/b\u003eScott Hotton is a mathematical biologist at the University of California, Merced.\u003cbr\u003e\u003cbr\u003eJeff Yoshimi is Professor and founding faculty member in the Department of Cognitive and Information Sciences at the University of California, Merced.","brand":"The MIT Press","offers":[{"title":"Default Title","offer_id":46303909970149,"sku":"NP9780262548199","price":60.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780262548199.jpg?v=1767740804","url":"https:\/\/k12savings.com\/es\/products\/the-open-dynamics-of-braitenberg-vehicles-isbn-9780262548199","provider":"K12savings","version":"1.0","type":"link"}