Chase and Escape in Groups

We study here a recently proposed theme of one group chasing another, called "group chase and escape". Rather rich and complex behavior such as self-organized structures can arise from a model with simple rules. We discuss models with various cases of different speeds between the two groups, search ranges, and motion fluctuations.

[1]  H. Jaeger,et al.  Granular solids, liquids, and gases , 1996 .

[2]  Peter Szor,et al.  The Art of Computer Virus Research and Defense , 2005 .

[3]  Toru Ohira,et al.  Balancing with positive feedback: the case for discontinuous control , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[4]  P. G. de Gennes,et al.  Granular Matter: A Tentative View , 1999 .

[5]  Yuji Igarashi,et al.  SOLVABLE OPTIMAL VELOCITY MODELS AND ASYMPTOTIC TRAJECTORY , 1996, patt-sol/9610009.

[6]  Ohira,et al.  Delayed stochastic systems , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Marco Dorigo,et al.  Swarm intelligence: from natural to artificial systems , 1999 .

[8]  D. Wolf,et al.  Traffic and Granular Flow , 1996 .

[9]  J. H. Gibbs,et al.  Concerning the kinetics of polypeptide synthesis on polyribosomes , 1969 .

[10]  Dirk Helbing,et al.  Simulating dynamical features of escape panic , 2000, Nature.

[11]  S. Shankar Sastry,et al.  Probabilistic pursuit-evasion games: theory, implementation, and experimental evaluation , 2002, IEEE Trans. Robotics Autom..

[12]  Toru Ohira,et al.  Group chase and escape , 2009, Theoretical Biology.

[13]  T. Başar,et al.  Dynamic Noncooperative Game Theory , 1982 .

[14]  Milton,et al.  Delayed random walks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  T. Başar,et al.  Dynamic Noncooperative Game Theory, 2nd Edition , 1998 .

[16]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Y. Sugiyama,et al.  Traffic jams without bottlenecks—experimental evidence for the physical mechanism of the formation of a jam , 2008 .

[18]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[19]  P. L. Krapivsky,et al.  Survival of an evasive prey , 2009, Proceedings of the National Academy of Sciences.

[20]  T. Ohira,et al.  The time-delayed inverted pendulum: implications for human balance control. , 2009, Chaos.

[21]  Tamás Kalmár-Nagy,et al.  Delay differential equations : recent advances and new directions , 2009 .

[22]  L. Glass,et al.  Oscillation and chaos in physiological control systems. , 1977, Science.

[23]  L. Glass,et al.  From Clocks to Chaos: The Rhythms of Life , 1988 .

[24]  I. Couzin,et al.  Effective leadership and decision-making in animal groups on the move , 2005, Nature.

[25]  S. Redner,et al.  Kinetics of a Diiusive Capture Process: Lamb Besieged by a Pride of Lions , 2022 .

[26]  Rufus Isaacs,et al.  Differential Games , 1965 .

[27]  Pawel Romanczuk,et al.  Collective motion due to individual escape and pursuit response. , 2008, Physical review letters.

[28]  Leo P. Kadanoff,et al.  Built upon sand: Theoretical ideas inspired by granular flows , 1999 .