Periodicity of Limit Cycles in a Max-plus Dynamical System
Abstract
By introducing a max-plus dynamical system having limit cycles, we discuss their periodicity, especially their number of discrete states. 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.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- October 2021
- DOI:
- 10.7566/JPSJ.90.103001
- arXiv:
- arXiv:2107.09300
- Bibcode:
- 2021JPSJ...90j3001Y
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics;
- Mathematical Physics
- E-Print:
- doi:10.7566/JPSJ.90.103001