Homoclinic bifurcations, fat attractors and invariant curves

被引：5

作者：

Mora, L ^{[1
]}

机构：

[1] Fac Ciencias, Dept Matemat, Merida 5101, Venezuela

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年 / 9卷 / 05期

关键词：

homoclinic bifurcations; attractors; Hausdorff dimension; endomorphims; invariant curves;

D O I：

10.3934/dcds.2003.9.1133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we show examples of homoclinic bifurcations which can be perturbed to produce invariant curves and attractors with high Hausdorff dimension.

引用

页码：1133 / 1148

页数：16

共 50 条

[1] Lorenz attractors in unfoldings of homoclinic-flip bifurcations
Golmakani, A.
Homburg, A. J.
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2011, 26 (01): : 61 - 76
[2] Homoclinic bifurcations and dimension of attractors for damped nonlinear hyperbolic equations
Turaev, D
Zelik, S
[J]. NONLINEARITY, 2003, 16 (06) : 2163 - 2198
[3] Persistent antimonotonic bifurcations and strange attractors for cubic homoclinic tangencies
Kiriki, Shin
Soma, Teruhiko
[J]. NONLINEARITY, 2008, 21 (05) : 1105 - 1140
[4] From invariant curves to strange attractors
Wang, QD
Young, LS
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 225 (02) : 275 - 304
[5] From Invariant Curves to Strange Attractors
Qiudong Wang
Lai-Sang Young Young
[J]. Communications in Mathematical Physics, 2002, 225 : 275 - 304
[6] Bifurcations of invariant curves of a difference equation
He, TL
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (09) : 1096 - 1104
[7] BIFURCATIONS OF INVARIANT CURVES OF A DIFFERENCE EQUATION
贺天兰
[J]. Applied Mathematics and Mechanics(English Edition), 2001, (09) : 1096 - 1104
[8] Bifurcations of Invariant Curves of a Difference Equation
Tian-lan He
[J]. Applied Mathematics and Mechanics, 2001, 22 : 1096 - 1104
[9] Bifurcations of invariant curves of a difference equation
He Tian-lan
[J]. Applied Mathematics and Mechanics, 2001, 22 (9) : 1096 - 1104
[10] Invariant Elliptic Curves as Attractors in the Projective Plane
Taflin, Johan
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2010, 20 (01) : 219 - 225

← 1 2 3 4 5 →