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Frontiers of Fundamental Physics and Physics Education Research pp 217–222Cite as

Pursuit and Evasion with Temporal Non-locality and Stochasticity

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 145))

Abstract

We discuss a new aspect of an old mathematical problem of chase and escape. We consider one group chases another, called “group chase and escape”, by presenting simple models. We have found that even a simple model can exhibit rich and complex behavior. The model has been extended to investigate the effects of (a) stochasticity in chasing and escaping movements, (b) reaction delays (temporal non-locality) when chasing, and (c) the conversion of caught escapees to new chasers. We show that these effects can add further complexity and result in unexpected behaviors.

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Acknowledgments

The author would like to thank A. Kamimura, S. Matsumoto, and R. Nishi for their collaborative works. Thanks also go to T. Nogawa, N. Ito, K. Nishinari and J. Milton for their fruitful discussions.

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Authors and Affiliations

  1. Sony Computer Science Laboratories, Inc., Tokyo, Japan

    Toru Ohira

Authors
  1. Toru Ohira
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Editors and Affiliations

  1. Birla Science Centre, Hyderabad, India

    Burra G. Sidharth

  2. DCFA - Section ofMathematics and Physics, University of Udine, Udine, Italy

    Marisa Michelini

  3. DCFA - Section of Mathematics and Physic, University of Udine, Udine, Italy

    Lorenzo Santi

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© 2014 Springer International Publishing Switzerland

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Ohira, T. (2014). Pursuit and Evasion with Temporal Non-locality and Stochasticity. In: Sidharth, B., Michelini, M., Santi, L. (eds) Frontiers of Fundamental Physics and Physics Education Research. Springer Proceedings in Physics, vol 145. Springer, Cham. https://doi.org/10.1007/978-3-319-00297-2_22

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