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[00457] On limit cycles of discrete dynamical systems with positivity

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @G709
  • Type : Contributed Talk
  • Abstract : We focus on limit cycles of discretized Sel'kov model derived from continuous Sel'kov model via tropical discretization. The discretized model possesses a parameter for time step. We numerically found, by varying the parameter, that density profile of phase in the limit cycles transits between continuous and ultradiscrete, and that the ultradiscrete state corresponds to a max-plus dynamical system. In this talk, we discuss these findings from the viewpoint of nonlinear dynamical systems.
  • Classification : 37M20, 37M15, 65P40, 68Q80, 37J70, ultradiscretization, max-plus dynamical system, bifurcation
  • Format : Talk at Waseda University
  • Author(s) :
    • Yoshihiro Yamazaki (Waseda University)
    • Shousuke Ohmori (Waseda University)