On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I

被引：63
作者：
Gonchenko, S. V. [1 ]
Shilnikov, L. P. [1 ]
Turaev, D. V. [2 ]
机构：
[1] Inst Appl Math & Cybernet, RU-603005 Nizhnii Novgorod, Russia
[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
NONLINEARITY | 2008年 / 21卷 / 05期
关键词：
D O I：
10.1088/0951-7715/21/5/003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The phenomenon of the generic coexistence of infinitely many periodic orbits with different numbers of positive Lyapunov exponents is analysed. Bifurcations of periodic orbits near a homoclinic tangency are studied. Criteria for the coexistence of infinitely many stable periodic orbits and for the coexistence of infinitely many stable invariant tori are given.
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页码：923 / 972
页数：50
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