ON MODELS WITH NON-ROUGH POINCARE HOMOCLINIC CURVES

被引：90

作者：

GONCHENKO, SV

SHILNIKOV, LP

TURAEV, DV

机构：

[1] Scientific Research Institute for Applied Mathematics and Cybernetics, Nizhnii Novgorod

来源：

PHYSICA D | 1993年 / 62卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(93)90268-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The possibility of an a priori complete description of finite-parameter models including systems with structurally unstable Poincare homoclinic curves is studied. The main result reported here is that systems having a countable set of moduli of OMEGA-equivalence and systems having infinitely many degenerate periodic and homoclinic orbits are dense in the Newhouse regions of OMEGA-non-stability. We discuss the question of correctly setting a problem for the analysis of models of such type.

引用

页码：1 / 14

页数：14

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