LEADER 03413nam 22006015 450 001 9910364956403321 005 20200629140142.0 010 $a981-15-1731-2 024 7 $a10.1007/978-981-15-1731-0 035 $a(CKB)4100000010012068 035 $a(MiAaPQ)EBC5996845 035 $a(DE-He213)978-981-15-1731-0 035 $a(PPN)242817734 035 $a(EXLCZ)994100000010012068 100 $a20191212d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGroup Chase and Escape $eFusion of Pursuits-Escapes and Collective Motions /$fby Atsushi Kamimura, Toru Ohira 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2019. 215 $a1 online resource (127 pages) 225 1 $aTheoretical Biology,$x2522-0438 311 $a981-15-1730-4 327 $aIntroduction -- 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. . 330 $aThis book presents a unique fusion of two different research topics. One is related to the traditional mathematical problem of chases and escapes. The problem mainly deals with a situation where a chaser pursues an evader to analyze their trajectories and capture time. It dates back more than 300 years and has developed in various directions such as differential games. The other topic is the recently developing field of collective behavior, which investigates origins and properties of emergent behavior in groups of self-driving units. Applications include schools of fish, flocks of birds, and traffic jams. This book first reviews representative topics, both old and new, from these two areas. Then it presents the combined research topic of "group chase and escape", recently proposed by the authors. Although the combination is simple and straightforward, the book describes the emergence of rather intricate behavior, provoking the interest of readers for further developments and applications of related topics. 410 0$aTheoretical Biology,$x2522-0438 606 $aBiomathematics 606 $aDifferential equations 606 $aDynamics 606 $aErgodic theory 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aBiomathematics. 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aMathematical and Computational Biology. 615 24$aOrdinary Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 676 $a510 700 $aKamimura$b Atsushi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781860 702 $aOhira$b Toru$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910364956403321 996 $aGroup Chase and Escape$92514558 997 $aUNINA