The Open Dynamics of Braitenberg Vehicles

The Open Dynamics of Braitenberg Vehicles

The Open Dynamics of Braitenberg Vehicles

The Open Dynamics of Braitenberg Vehicles

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Overview

An 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.

Powering 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, The Open Dynamics of Braitenberg Vehicles offers a rigorous mathematical foundation for embodied cognition, especially when it comes to two-way interactions between an agent and its environment.

Following 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, The Open Dynamics of Braitenberg Vehicles provides an extremely accessible and visually rich look into the workings and applications of open dynamical systems.

Product Details

ISBN-13: 9780262548199
Publisher: MIT Press
Publication date: 06/18/2024
Pages: 258
Sales rank: 308,465
Product dimensions: 6.00(w) x 9.00(h) x 0.60(d)

About the Author

Scott Hotton is a mathematical biologist at the University of California, Merced.

Jeff Yoshimi is Professor and founding faculty member in the Department of Cognitive and Information Sciences at the University of California, Merced.

Table of Contents

Preface
Introduction
1 Specications for the Braitenberg Vehicles
2 The open dynamical systems for a pair of Braitenberg vehicles
3 The relative equilibria of the total dynamical system
4 Revolving type relative equilibria and their bifurcations
5 Translating type relative equilibria and their bifurcations
6 Relation to naturally occurring systems
Epilogue
A Solutions to the approximate bifurcation equation
B Computing the matrix J(r;)
C The eigenvalues and eigenvectors for J(r;) and JT

What People are Saying About This

From the Publisher

“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. The Open Dynamics of Braitenberg Vehicles is a tour de force of embodied cognitive science. Highly recommended.”
—Anthony Chemero, Distinguished Research Professor of Philosophy and Psychology, University of Cincinnati
 
"The Open Dynamics of Braitenberg Vehicles 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.”
—Ignacio Raño Noal, Department of Electronics and Computing, University of Santiago de Compostela, Spain

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