Periodicity of limit cycles in a max-plus dynamical system

@inproceedings{Yamazaki2021PeriodicityOL,
  title={Periodicity of limit cycles in a max-plus dynamical system},
  author={Yoshihiro Yamazaki and Shousuke Ohmori},
  year={2021}
}
By introducing a max-plus dynamical system having limit cycles, we discuss their periodicity, especially the number of discrete states in them. We also find that quasi-periodic cycles exist depending on the bifurcation parameter in the system. Approximate relations between the number of states in the limit cycles and the value of the bifurcation parameter are proposed. For nonlinear and nonequilibrium phenomena, their description based on max-plus algebra has been made. Soliton behaviors in… Expand

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