SNA's in the Quasi-Periodic Quadratic Family

被引：25

作者：

Bjerklov, Kristian ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 286卷 / 01期

关键词：

STRANGE NONCHAOTIC ATTRACTORS; POSITIVE LYAPUNOV EXPONENT; MINIMALITY; EQUATIONS; DYNAMICS; MAP;

D O I：

10.1007/s00220-008-0626-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We rigorously show that there can exist Strange Nonchaotic Attractors (SNA) in the quasi-periodically forced quadratic ( or logistic) map (theta, x) -> (theta + omega, c(theta)x(1 - x)) for certain choices of c : T bar right arrow [3/2, 4] and Diophantine omega.

引用

页码：137 / 161

页数：25

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