SCALING RELATIONS IN THE LYAPUNOV EXPONENTS OF ONE-DIMENSIONAL MAPS

被引：5

作者：

NAIR, PRK ^{[1
]}

NANDAKUMARAN, VM ^{[1
]}

AMBIKA, G ^{[1
]}

机构：

[1] MAHARAJAS COLL,DEPT PHYS,COCHIN 682011,KERALA,INDIA

来源：

PRAMANA-JOURNAL OF PHYSICS | 1994年 / 43卷 / 06期

关键词：

ONE DIMENSIONAL MAPS; CHAOS; PERIOD DOUBLING; SCALING BEHAVIOR; LYAPUNOV CHARACTERISTIC EXPONENTS;

D O I：

10.1007/BF02847616

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish numerically the validity of Huberman-Rudnick scaling relation for Lyapunov exponents during the period doubling route to chaos in one dimensional maps. We extend our studies to the context of a combination map, where the scaling index is found to be different.

引用

页码：421 / 429

页数：9

共 9 条

[1] DETERMINISTIC CHAOS IN ONE-DIMENSIONAL MAPS - THE PERIOD DOUBLING AND INTERMITTENCY ROUTES [J].