Comparison of nonlinear Granger causality extensions for low-dimensional systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 3, 2008, Pages

  Ishiguro, Katsuhiko ^a   Otsu, Nobuyuki ^a,b   Lungarella, Max ^a   Kuniyoshi, Yasuo ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY AIST   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CONSTRAINT THEORY; POLYNOMIALS; SPURIOUS SIGNAL NOISE; TIME SERIES ANALYSIS; VECTORS;

CHAOTIC MAPS; NONLINEAR EXTENSION; SCALAR MEASUREMENTS;

NONLINEAR SYSTEMS;

EID: 41549091891     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.036217     Document Type: Article

References (14)

1. N. Ancona, D. Marinazzo, and S. Stramaglia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056221 70, 056221 (2004).
2. J. Arnhold, P. Grassberger, K. Lehnertz, and C. E. Elger, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00140-2 134, 419 (1999).
3. T. Schreiber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85. 461 85, 461 (2000).
4. Y. Chen, G. Rangarajan, J. Feng, and M. Ding, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.02.032 324, 26 (2004).
5. U. Feldmann and J. Bhattacharya, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127404009314 14, 505 (2004).
6. M. Lungarella, K. Ishiguro, Y. Kuniyoshi, and N. Otsu, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127407017628 17, 903 (2007).
7. C. W. J. Granger, Econometrica ECMTA7 0012-9682 10.2307/1912791 37, 424 (1969).
8. I. I. Mokhov and D. A. Smirnov, Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2005GL024557 33, L03708 (2006).
9. N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.45.712 45, 712 (1980).
10. M. Takens, in Dynamical Systems and Turbulence, edited by, D. Rand, and, L. Young, Lecture Notes in Mathematics Vol. 898 (Springer Verlag, Berlin, 1981), pp. 366-381.
11. M. B. Kennel, R. Brown, and H. D. I. Abarbanel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.3403 45, 3403 (1992).
12. A. M. Fraser and H. L. Swinney, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1134 33, 1134 (1986).
13. M. Henon, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608556 50, 69 (1976).
14. V. N. Vapnik, The Nature of Statistical Learning Theory (Springer, Berlin, 1995).