Group Chase and Escape

Fusion of Pursuits-Escapes and Collective Motions
1. Auflage 2019
ISBN: 978-981-15-1730-3
Verlag: Springer Nature Singapore

Buch, Englisch, 119 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 371 g

Reihe: Theoretical Biology

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.

Zielgruppe

Research

Autoren/Hrsg.

Ohira, Toru

Kamimura, Atsushi

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Introduction.- Chases and Escapes.- Collective Motion.- Group Chase and Escape.- Potential Applications and Challenges.- Discrete Search Game on Graphs.- Chase and Escape with Delays.- Virtual Stick Balancing.- Minority Games.