From Human Stick Balancing to Group Chase and Escape: Mathematics and Phenomenology of Delayed Stochastic Systems

Toru Ohira (Sony Computer Science Lab.)

Noise and time delay are two elements that are associated with many natural systems, and often they are sources of complex behaviors. Understanding of this complexity is yet to be explored, particularly when both elements are present. In this talk, I will introduce some aspects of these complex behaviors through simple examples ranging from human balance controls and recently proposed "Group Chase and Escape", where one group chases another.

"Group Chase and Escape", A. Kamimura and T. Ohira, New Journal of Physics, vol. 12, 053013 (2010).
"Delayed Stochastic Systems", T. Ohira and T. Yamane, Physical Review E, vol. 61, 1247 (2000).
"Resonance with Noise and Delay", T. Ohira and Y. Sato, Physical Review Letters, vol. 82, 2811 (1999).