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一类3参数平面分片光滑系统中间断线上平衡点的分支
Bifurcation of Stationary Point on the Line of Discontinuity in a Class of Planar Piecewise Smooth System with 3 Parameters
【摘要】 利用微分包含理论研究一类3参数平面分片光滑系统的平衡点分支性质,得到了此类系统中平衡点存在的充要条件.特别地,讨论了此3参数平面分片光滑系统中间断线上平衡点的性质.
【Abstract】 We studied the bifurcation properties of stationary points of a class of planar piecewise smooth system with 3 parameters using the theory of differential inclusions,presenting both sufficient and neccesary conditions of the existence of the stationary points in this class of planar piecewise smooth systems.We especially studied the existence of the stationary points on the line of discontinuity of this planar piecewise smooth system.
【关键词】 分片光滑系统;
间断线;
平衡点;
分支;
【Key words】 piecewise smooth system; line of discontinuity; stationary point; bifurcation;
【Key words】 piecewise smooth system; line of discontinuity; stationary point; bifurcation;
【基金】 国家自然科学基金(批准号:10671082)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2008年02期
- 【分类号】O175
- 【被引频次】1
- 【下载频次】44