Prediction of chaotic systems with multidimensional recurrent least squares support vector machines

Chinese Physics

Volumn 15, Issue 6, 2006, Pages 1208-1215

  Sun, Jian Cheng ^a,b   Zhou, Ya Tong ^a   Luo, Jian Guo ^a  

^a University of Finance and Economics Nanchang   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Chaotic systems; Least squares; Noise; Support vector machines

Indexed keywords

ACOUSTIC NOISE; EMBEDDED SYSTEMS; LEARNING SYSTEMS; LEAST SQUARES APPROXIMATIONS; PREDICTIVE CONTROL SYSTEMS; PROBLEM SOLVING; THEOREM PROVING;

CHAOTIC SYSTEMS; EMBEDDING THEOREM; SUPPORT VECTOR MACHINES;

CHAOS THEORY;

EID: 33746659122     PISSN: 10091963     EISSN: 17414199     Source Type: Journal    
DOI: 10.1088/1009-1963/15/6/014     Document Type: Article

References (15)

1. Brillinger D R 1981 Time series, Data Analysis and Theory (New York: McGraw-Hill)
2. Li K P and Chen T L 2002 Chin. Phys. Lett. 19 904
3. Casdagli M 1989 Physica D 35 335
4. Dorffner G 1996 Neural Network World 6 447
5. Mukherjee S, Osuna E and Girosi F 1997 In Proc. IEEE NNSP'97 511
6. Smola M K, Rätsch A J, Schölkopf G, Kohlmorgen J B and Vapnik V 1997 Artificial Neural Networks - ICANN'97 999
7. Cui W Z, Zhu C C, Bao W X and Liu J H 2005 Chin. Phys. 14 922
8. Sun J C, Zhang T Y and Liu F 2004 Chin. Phys. 13 2045
9. Vapnik V 1995 The Nature of Statistical Learning Theory (New York: Springer)
10. Suykens J A K and Vandewalle J 2000 IEEE Tran. on Circuits and System - I: Fundamental Theory and Applications 47 1109
11. Takens F 1981 Dynamical systems and turbulence (Berlin: Springer) p 366
12. Farmer J D and Sidorowich J J 1991 Physica D 47 373
13. Kaplan D and Glass L 1995 Understanding Nonlinear Dynamics (New York: Springer)
14. Cao L 1997 Physica D 110 43
15. Fraser A M and Swinney H L 1986 Phys. Rev. A 33 1134