SADDLE-NODE BIFURCATIONS ON FRACTAL BASIN BOUNDARIES

被引：54

作者：

NUSSE, HE

OTT, E

YORKE, JA

机构：

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

[2] UNIV MARYLAND,DEPT PHYS,PLASMA RES LAB,COLLEGE PK,MD 20742

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

[4] UNIV MARYLAND,SYST RES INST,COLLEGE PK,MD 20742

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

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.75.2482

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We demonstrate and analyze a bifurcation producing a type of fractal basin boundary which has the strange property that any point that is on the boundary of that basin is also simultaneously on the boundary of at least two other basins. We give rigorous general criteria guaranteeing this phenomenon, present illustrative numerical examples, and discuss the practical significance of the results.

引用

页码：2482 / 2485

页数：4

共 18 条

[1] MULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES - BASIN STRUCTURE OF THE KICKED DOUBLE ROTOR [J].