Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems

被引：23
作者：
Ponce, Enrique [1 ]
Ros, Javier [1 ]
Vela, Elisabet [1 ]
机构：
[1] Univ Seville, Escuela Tecn Super Ingn, Dept Matemat Aplicada 2, Camino Descubrimientos S-N, Seville 41092, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2015年 / 25卷 / 03期
关键词：
Piecewise linear systems; limit cycles; bifurcations; FILIPPOV SYSTEMS;
D O I：
10.1142/S0218127415300086
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Boundary equilibrium bifurcations in continuous planar piecewise linear systems with two and three zones are considered, with emphasis on the possible simultaneous appearance of limit cycles. Situations with two limit cycles surrounding the only equilibrium point are detected and rigorously shown for the first time in the family of systems under study. The theoretical results are applied to the analysis of an electronic Wien bridge oscillator with biased polarization, characterizing the different parameter regions of oscillation.
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页数：18
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