Phase portraits of planar piecewise linear refracting systems: Focus-saddle case

被引：13
|
作者：
Li, Shimin [1 ]
Llibre, Jaume [2 ]
机构：
[1] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Peoples R China
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 56卷
基金：
欧盟地平线“2020”;
关键词：
Phase portraits; Refracting systems; Limit cycle; LIMIT-CYCLES; QUADRATIC SYSTEMS; VECTOR-FIELDS; BIFURCATION; CLASSIFICATION;
D O I：
10.1016/j.nonrwa.2020.103153
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with planar piecewise linear refracting systems with a straight line of separation. Using the Poincare compactification, we provide the classification of the phase portraits in the Poincare disc of piecewise linear refracting systems with focus-saddle dynamics. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：11
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