Global studies on a continuous planar piecewise linear differential system with three zones

被引：2
作者：
Jia, Man [1 ,2 ]
Su, Youfeng [3 ]
Chen, Hebai [4 ]
机构：
[1] Fuzhou Univ, Ctr Discrete Math, Fuzhou 350116, Fujian, Peoples R China
[2] Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Fujian, Peoples R China
[3] Fuzhou Univ, Coll Comp & Date Sci, Fuzhou 350116, Fujian, Peoples R China
[4] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Piecewise linear system; Global phase portrait; Bifurcation; Limit cycle; Homoclinic loop; 2; LIMIT-CYCLES; ARCHETYPAL OSCILLATOR; BIFURCATION SETS; PHASE PORTRAITS; SMOOTH; UNIQUENESS;
D O I：
10.1007/s11071-022-08005-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper is concerned with the global dynamics of a continuous planar piecewise linear differential system with three zones, where the dynamic of the one of the exterior linear zones is saddle and the remaining one is anti-saddle. We give all global phase portraits in the Poincare disc and the complete bifurcation diagram including boundary equilibrium bifurcation curves, degenerate boundary equilibrium bifurcation curves, homoclinic bifurcation curves and double limit cycle bifurcation curves. Its application in a second-order memristor oscillator is shown. Finally, some numerical phase portraits are demonstrated to illustrate our theoretical results.
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页码：3539 / 3573
页数：35
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