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[00442] On the dynamical properties of a max-plus model identified with the Lozi map

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @G709
  • Type : Contributed Talk
  • Abstract : We focus on a max-plus discretized model that is identified with the Lozi map in this talk. The max-plus model can be derived from the generalized Sel’kov model composed of non-linear differential equations via tropical discretization and ultradiscretization. Based on the Poincare mapping method and the estimation of Lyapunov exponents, the dynamical properties of the max-plus model and its transformation from the generalized Sel’kov model are discussed.
  • Classification : 37M20, 37M15, 65P40, 68Q80, 37J70
  • Format : Talk at Waseda University
  • Author(s) :
    • Shousuke Ohmori (Waseda University)
    • Yoshihiro Yamazaki (Waseda University)