TY - JOUR
T1 - Periodicity of limit cycles in a max-plus dynamical system
AU - Yamazaki, Yoshihiro
AU - Ohmori, Shousuke
N1 - Funding Information:
Acknowledgment The authors are grateful to Professor T. Yamamoto, and Professor Emeritus A. Kitada at Waseda University for encouragement. This work was supported by the Sumitomo Foundation (Grant Number 200146).
Publisher Copyright:
© 2021 The Physical Society of Japan
PY - 2021/10/15
Y1 - 2021/10/15
N2 - 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.
AB - 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.
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U2 - 10.7566/JPSJ.90.103001
DO - 10.7566/JPSJ.90.103001
M3 - Article
AN - SCOPUS:85114910219
SN - 0031-9015
VL - 90
JO - journal of the physical society of japan
JF - journal of the physical society of japan
IS - 10
M1 - 103001
ER -