平面分片光滑系统中同宿环的稳定性  

Stability of Homoclinic Cycles in Planar Piecewise Smooth Systems

作　　者：郑丹[1] 董险峰[1] 孙慧群[1] 毓石[1] 张然[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2007年第3期349-352,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10671082;10626026;10471054);吉林大学数学基地项目基金(批准号:J0630104).

摘　　要：研究平面分片光滑系统中同宿环的稳定性,在粗鞍点的情况下,给出了判断分片光滑同宿环稳定性的充分条件,证明了分片光滑同宿环的稳定性由鞍点量的符号惟一确定.最后通过一个数值实验验证了理论结果.The stability of homoclinic cycles in planar piecewise smooth systems was studied. A criterion for judging the stability of the homoclinic cycle was presented under the condition of saddle quantity is nontrivial.It was proved that the stability of the homoclinic cycle is only dependent on the sign of the saddle quantity. A numerical experiment was carried out to illustrate the theoretical result.

关 键 词：分片光滑系统 同宿环 稳定性 鞍点量 

分 类 号：O241.81[理学—计算数学]