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Homoclinic Ω-explosion and domains of hyperbolicity
被引:3
|作者:
Sten'kin, OV
[1
]
Shil'nikov, LP
[1
]
机构:
[1] NI Lobachevskii State Univ, Natl Res Inst Appl Math & Cybernet, Nizhnii Novgorod, Russia
关键词:
D O I:
10.1070/SM1998v189n04ABEH000315
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The existence of domains of hyperbolicity is proved for general one-parameter families of multidimensional systems that undergo-a homoclinic Omega-explosion and the structure of the hyperbolic sets is studied for such families.
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页码:603 / 622
页数:20
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