Chaos and experimental resolution

被引:4
作者
Binder, PM [1 ]
Cuéllar, MC [1 ]
机构
[1] Univ Los Andes, Dept Fis, Bogota, Colombia
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 04期
关键词
D O I
10.1103/PhysRevE.61.3685
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study systematically what levels of finite-resolution in measurements significantly affect the calculation of time delays, embedding dimensions, and Lyapunov exponent for two well-known chaotic systems. We find a tradeoff between the information contained in the measured time series and what is lost. Moreover, the "noise" series is low-dimensional and highly correlated.
引用
收藏
页码:3685 / 3688
页数:4
相关论文
共 39 条
[1]  
Abarbanel H, 1996, ANAL OBSERVED CHAOTI
[2]   THE ANALYSIS OF OBSERVED CHAOTIC DATA IN PHYSICAL SYSTEMS [J].
ABARBANEL, HDI ;
BROWN, R ;
SIDOROWICH, JJ ;
TSIMRING, LS .
REVIEWS OF MODERN PHYSICS, 1993, 65 (04) :1331-1392
[3]   LOCAL FALSE NEAREST NEIGHBORS AND DYNAMIC DIMENSIONS FROM OBSERVED CHAOTIC DATA [J].
ABARBANEL, HDI ;
KENNEL, MB .
PHYSICAL REVIEW E, 1993, 47 (05) :3057-3068
[4]  
ALEKSEEV VM, 1981, PHYS REP, V75, P287, DOI 10.1016/0370-1573(81)90186-1
[5]  
[Anonymous], NONLINEAR MODELING F
[6]   Complexity and the economy [J].
Arthur, WB .
SCIENCE, 1999, 284 (5411) :107-109
[7]   LIMIT-CYCLES IN A QUADRATIC DISCRETE ITERATION [J].
BINDER, PM .
PHYSICA D, 1992, 57 (1-2) :31-38
[8]   MACHINE ITERATION OF A LINEAR FUNCTION - LOCAL BEHAVIOR [J].
BINDER, PM .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1991, 21 (2-3) :133-140
[9]   Invertibility of dynamical systems in granular phase space [J].
Binder, PM ;
Idrobo, JC .
PHYSICAL REVIEW E, 1998, 58 (06) :7987-7989
[10]   OPTIMAL RECONSTRUCTION OF STRANGE ATTRACTORS FROM PURELY GEOMETRICAL ARGUMENTS [J].
BUZUG, T ;
REIMERS, T ;
PFISTER, G .
EUROPHYSICS LETTERS, 1990, 13 (07) :605-610