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Bifurcation in a Class of Planar Piecewise Smooth Systems with 3-parameters

Bifurcation in a Class of Planar Piecewise Smooth Systems with 3-parameters
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摘要 This paper is concerned with the bifurcation properties on the line of discontinuity of planar piecewise smooth systems. The existence of equilibria and periodic solutions with sliding motion in a class of planar piecewise smooth systems with 3-parameters is investigated in this paper using the theory of differential inclu-sion and tools of Poincar′e maps. This paper is concerned with the bifurcation properties on the line of discontinuity of planar piecewise smooth systems. The existence of equilibria and periodic solutions with sliding motion in a class of planar piecewise smooth systems with 3-parameters is investigated in this paper using the theory of differential inclu-sion and tools of Poincar′e maps.
作者 LIU YUAN-YUAN CHAI ZHEN-HUA Ma Fu-ming
机构地区 School of Mathematics
出处 《Communications in Mathematical Research》 CSCD 2014年第3期207-221,共15页 数学研究通讯（英文版）
基金 The NSF(11071102) of China
关键词 piecewise smooth system line of discontinuity EQUILIBRIA periodic so-lution with sliding motion BIFURCATION piecewise smooth system, line of discontinuity, equilibria, periodic so-lution with sliding motion, bifurcation
分类号 O175 [理学—基础数学]
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Communications in Mathematical Research
2014年 第3期

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