Authors:
- Includes reviews of representative topics of chases and escapes as well as collective behavior in one book
- Describes the new research topic of group chase and escape with concrete examples
- Is written in a readable manner for those from related fields of mathematics, biology, physics, and engineering
- Can be used as a supplementary text in applied mathematics, engineering, and physics for upper-undergraduate to graduate courses
Part of the book series: Theoretical Biology (THBIO)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
This book presents a unique fusion of two different research topics. One is related to the traditional mathematical problem of chases and escapes. The problem mainly deals with a situation where a chaser pursues an evader to analyze their trajectories and capture time. It dates back more than 300 years and has developed in various directions such as differential games. The other topic is the recently developing field of collective behavior, which investigates origins and properties of emergent behavior in groups of self-driving units. Applications include schools of fish, flocks of birds, and traffic jams. This book first reviews representative topics, both old and new, from these two areas. Then it presents the combined research topic of "group chase and escape", recently proposed by the authors. Although the combination is simple and straightforward, the book describes the emergence of rather intricate behavior, provoking the interest of readers for further developments and applications of related topics.
Reviews
Authors and Affiliations
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Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, Tokyo, Japan
Atsushi Kamimura
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Nagoya University, Nagoya, Japan
Toru Ohira
Bibliographic Information
Book Title: Group Chase and Escape
Book Subtitle: Fusion of Pursuits-Escapes and Collective Motions
Authors: Atsushi Kamimura, Toru Ohira
Series Title: Theoretical Biology
DOI: https://doi.org/10.1007/978-981-15-1731-0
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-15-1730-3Published: 19 December 2019
Softcover ISBN: 978-981-15-1733-4Published: 19 December 2020
eBook ISBN: 978-981-15-1731-0Published: 12 December 2019
Series ISSN: 2522-0438
Series E-ISSN: 2522-0446
Edition Number: 1
Number of Pages: XII, 119
Number of Illustrations: 1 b/w illustrations
Topics: Mathematical and Computational Biology, Ordinary Differential Equations, Dynamical Systems and Ergodic Theory