四川大学学报（自然科学版）2021，Vol.58Issue(4)：33-38,6.DOI:10.19907/j.0490-6756.2021.041005
具有对称实焦点的分段线性类-Liénard系统的穿越周期轨
On the crossing periodic orbits of a piecewise linear Liénard-like system with symmetric admissible foci
摘要
Abstract
We investigate the crossing periodic orbits of a piecewise linear Liénard-like system with sym-metric admissible foci .By reducing this system to a normal form ,w hich has less parameters ,and con-structing the Poincaré maps of the left and right subsystems ,we prove the existence of at least one crossing periodic orbit ,give a sufficient condition for the non-existence of crossing periodic orbits ,and provide an upper bound for the number of crossing periodic orbits under some conditions .关键词
焦点/正规形/周期轨/分段线性系统Key words
Focus/Normal form/Periodic orbit/Piecewise linear system分类
数理科学引用本文复制引用
罗艳红,陈兴武..具有对称实焦点的分段线性类-Liénard系统的穿越周期轨[J].四川大学学报（自然科学版）,2021,58(4):33-38,6.基金项目
国家自然科学基金(11471228) （11471228）
