A NOISE-REDUCTION METHOD FOR CHAOTIC SYSTEMS

被引:136
作者
HAMMEL, SM
机构
[1] Naval Surface Warfare Center, Silver Spring, MA 20903-5000
关键词
D O I
10.1016/0375-9601(90)90493-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method is presented which can reduce the noise of a chaotic orbit on an attractor by more than ten orders of magnitude. This method is simple and fast: its performance is analyzed for several two-dimensional systems at moderate noise levels, including the Ikeda map. For this analysis, the underlying maps are assumed to be known. © 1990.
引用
收藏
页码:421 / 428
页数:8
相关论文
共 7 条
[1]  
ABARBANEL HDI, 1989, PREPRINT
[2]   NONLINEAR PREDICTION OF CHAOTIC TIME-SERIES [J].
CASDAGLI, M .
PHYSICA D, 1989, 35 (03) :335-356
[3]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[4]  
FARMER JD, 1988, EVOLUTION LEARNING C
[5]   NUMERICAL ORBITS OF CHAOTIC PROCESSES REPRESENT TRUE ORBITS [J].
HAMMEL, SM ;
YORKE, JA ;
GREBOGI, C .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 19 (02) :465-469
[6]   GLOBAL DYNAMICAL BEHAVIOR OF THE OPTICAL-FIELD IN A RING CAVITY [J].
HAMMEL, SM ;
JONES, CKRT ;
MOLONEY, JV .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1985, 2 (04) :552-564
[7]   NOISE-REDUCTION IN DYNAMICAL-SYSTEMS [J].
KOSTELICH, EJ ;
YORKE, JA .
PHYSICAL REVIEW A, 1988, 38 (03) :1649-1652