Global vector field reconstruction including a control parameter dependence

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 211, Issue 4, 1996, Pages 211-216

  Le Sceller, L ^a   Letellier, C ^a   Gouesbet, G ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION DIAGRAM; CONTROL PARAMETERS; GLOBAL VECTOR-FIELD RECONSTRUCTION; ORIGINAL SYSTEMS;

EID: 0000215941     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00004-7     Document Type: Article

References (22)

1. N.H. Packard, J.P. Crutchfield, J.D. Farmer and R.S. Shaw, Phys. Rev. Lett. 45 (1980) 712.
2. J.P. Crutchfield and B.S. McNamara, Complex Systems 1 (1987) 417.
3. J.D. Farmer and J.J. Sidorowich, Phys. Rev. Lett. 59 (1987) 845.
4. A.K. Agarwal, D.P. Ahalpara, P.K. Kaw, H.R. Prablakera and A. Sen, J. Phys., 35 (1990) 287.
5. J.L. Breeden and A. Hübler, Phys. Rev. A 42 (1990) 5817.
6. M. Casdagli, S. Eubank, J.D. Farmer and J. Gibson, Physica D 51 (1991) 52.
7. M. Giona, F. Lendini and V. Cimagalli, Phys. Rev. A 44 (1991) 3496.
8. G. Gouesbet, Phys. Rev. A 43 (1991) 5321.
9. G. Gouesbet, Phys. Rev. A 44 (1991) 6264.
10. M. Palus and I. Dvoràck, Physica D 55 (1992) 221.
11. G. Gouesbet, Phys. Rev. A 46 (1992) 1784.
12. G. Gouesbet and J. Maquet, Physica D 58 (1992) 202.
13. G. Gouesbet and C. Letellier, Phys. Rev. E 49 (1994) 4955.
14. C. Letellier, L. Le Sceller, E. Maréchal, P. Dutertre, B. Maheu, G. Gouesbet, Z. Fei and J.L. Hudson, Phys. Rev. E 51 (1995) 4262.
15. C. Letellier, L. Le Sceller, P. Dutertre, G. Gouesbet, Z. Fei and J.L. Hudson, J. Phys. Chem., to be published.
16. R. Brown, N.F. Rulkov and E.R. Tracy, Phys. Rev. E 49 (1995) 3784.
17. Z. Fei, J.L. Hudson and R.G. Kelly, J. Electrochem. Soc. 141 (1994) L123.
18. R. Rico-Martínez, K Krischer, I.G. Kevrekidis, M.C. Kube and J.L. Hudson, Chem. Eng. Commun. 118 (1992) 25.
19. A.S. Lapedes and R.B. Farber, Los Alamos Report LA-UR, 87-2662 (1987).
20. C. Letellier, P. Dutertre and B. Maheu, Chaos 5 (1995) 271.
21. P. Dutertre, Caractérisation des attracteurs à l'aide d'orbites périodiques, Ph.D. thesis, LESP, URA CNRS 230, Rouen (1995).
22. C. Letellier and G. Gouesbet, Equivalences between original and reconstructed strange attractors in the case of 3D differential embeddings, submitted to Chaos.