THE TRANSITION TO CHAOTIC ATTRACTORS WITH RIDDLED BASINS

被引：193

作者：

OTT, E

ALEXANDER, JC

KAN, I

SOMMERER, JC

YORKE, JA

机构：

[1] UNIV MARYLAND,INST SYST RES,PLASMA RES LAB,COLLEGE PK,MD 20742

[2] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742

[3] UNIV MARYLAND,DEPT PHYS,COLLEGE PK,MD 20742

[4] JOHNS HOPKINS UNIV,APPL PHYS LAB,MS EISENHOWER RES CTR,LAUREL,MD 20723

[5] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742

[6] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

[7] GEORGE MASON UNIV,DEPT MATH,FAIRFAX,VA 22030

来源：

PHYSICA D | 1994年 / 76卷 / 04期

关键词：

D O I：

10.1016/0167-2789(94)90047-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently it has been shown that there are chaotic attractors whose basins are such that any point in the basin has pieces of another attractor basin arbitrarily nearby (the basin is ''riddled'' with holes). Here we consider the dynamics near the transition to this situation as a parameter is varied. Using a simple analyzable model, we obtain the characteristic behaviors near this transition. Numerical tests on a more typical system are consistent with the conjecture that these results are universal for the class of systems considered.

引用

页码：384 / 410

页数：27

共 18 条

[1] RIDDLED BASINS [J].

Alexander, J. C. ;

Yorke, James A. ;

You, Zhiping ;

Kan, I. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :795-813

[2] SENSITIVE DEPENDENCE ON PARAMETERS IN NONLINEAR DYNAMICS [J].

FARMER, JD .

PHYSICAL REVIEW LETTERS, 1985, 55 (04) :351-354

[3]

FELLER W, 1966, INTRO PROBABILITY TH

[4] INTERMITTENCY CAUSED BY CHAOTIC MODULATION .2. LYAPUNOV EXPONENT, FRACTAL STRUCTURE AND POWER SPECTRUM [J].

FUJISAKA, H ;

ISHII, H ;

INOUE, M ;

YAMADA, T .

PROGRESS OF THEORETICAL PHYSICS, 1986, 76 (06) :1198-1209

[5] CRITICAL EXPONENT OF CHAOTIC TRANSIENTS IN NONLINEAR DYNAMIC-SYSTEMS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1986, 57 (11) :1284-1287

[6] EXTERIOR DIMENSION OF FAT FRACTALS [J].

GREBOGI, C ;

MCDONALD, SW ;

OTT, E ;

YORKE, JA .

PHYSICS LETTERS A, 1985, 110 (01) :1-4

[7]

GREBOGI C, 1987, PHYS REV A, V36, P5336

[8]

HEAGY J, IN PRESS PHYS REV E

[9]

KAN I, IN PRESS B AM MATH S

[10]

KAN I, 1992, PREPRINT

← 1 2 →