THE PROTO-LORENZ SYSTEM

被引:87
作者
MIRANDA, R [1 ]
STONE, E [1 ]
机构
[1] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287
关键词
D O I
10.1016/0375-9601(93)90735-I
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A quotient of the Lorenz dynamical system is constructed. This ''proto-Lorenz'' system has the Lorenz system as a double covering, and the double covering explains the two-eared nature of the strange attractor for the Lorenz system. Arbitrary coverings of the proto-Lorenz system are possible, leading to n-eared strange attractors.
引用
收藏
页码:105 / 113
页数:9
相关论文
共 8 条
[1]  
GUCKENHEIMER J, 1983, APPLIED MATH SCI, V42
[2]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[3]  
2
[4]  
MUNKRES JR, 1975, TOPOLOGY FIRST COURS
[5]   EQUATION FOR CONTINUOUS CHAOS [J].
ROSSLER, OE .
PHYSICS LETTERS A, 1976, 57 (05) :397-398
[6]  
Shannon C, 1962, MATH THEORY COMMUNIC
[7]  
SHAW R, 1981, Z NATURFORSCH A, V36, P80
[8]  
SPARROW C, 1982, LORENZ EQUATIONS