Mathematical problems of nonlinear dynamics: A tutorial

被引：58

作者：

Shilnikov, L ^{[1
]}

机构：

[1] Res Inst Appl Math & Cybernet, Nizhy Novgorod 603005, Russia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 09期

关键词：

D O I：

10.1142/S0218127497001527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We review the theory of nonlinear systems, especially that of strange attractors, and give its perspectives. Of a special attention are the recent results concerning hyperbolic attractors and features of high-dimensional systems in the Newhouse regions. We present an example of a "wild" strange attractor of the topological dimension three.

引用

页码：1953 / 2001

页数：49