Ultradiscrete analogue of the van der Pol equation
Ultradiscrete analogue of the van der Pol equation
复制标题
van der Pol 方程的超离散模拟
DOI：
10.1088/1361-6544/ac4a8c
复制
发表时间：
2022
期刊：
影响因子：
1.7
通讯作者：
Suzuki Seiichiro
中科院分区：
文献类型：
--
作者：
Isojima Shin;Suzuki Seiichiro
奇偶变量超离散化（ultradiscresionization with parity variables，pUD）是一种构造条件分段线性方程的方法，它逼近给定的差分方程。与传统的超离散方法不同，它的应用不局限于无减方程。本文将pUD方法应用于货车der Pol方程这一不可积系统，研究了pUD方法的工作原理。通过对过渡图的总结，了解了超离散解的行为，并找到了一些周期解。
Ultradiscretization with parity variables (pUD) is a method of constructing a conditional piecewise linear equation which approximates a given difference equation. Its application is not limited to subtraction-free equation, being different from the traditional ultradiscretization. In this paper, the procedure of pUD is applied to the van der Pol equation, which is a non-integrable system, and it is studied how the procedure works. The behavior of the ultradiscrete solution is understood by summarizing in transition diagrams, and some periodic solutions are found.