Nonstationarity signatures in the dynamics of global nonlinear models

Chaos

Volumn 22, Issue 3, 2012, Pages

  Aguirre, L A ^a   Letellier, C ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b UNIVERSITÉ DE ROUEN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84866940670     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4748852     Document Type: Article

References (38)

1. Isliker H. Kurths J. Int. J. Bifurcation Chaos 1993, 3:1573. 10.1142/S0218127493001227
2. Witt A. Kurths J. Pikovsky A. Phys. Rev. E 1998, 58:1800. 10.1103/PhysRevE.58.1800
3. Schreiber T. Phys. Rev. Lett. 1997, 78:843. 10.1103/PhysRevLett.78.843.
4. Kennel M.B. Phys. Rev. E 1997, 56:316. 10.1103/PhysRevE.56.316.
5. Yu D. Lu W. Harrison R.G. Chaos 1999, 9:865. 10.1063/1.166458
6. Dikanev T. Smirnov D. Wennberg R. Perez-Velazquez J.L. Bezruchko B. Clin. Neurophysiol. 2005, 116:1796. 10.1016/j.clinph.2005.04.013
7. Bollt E.M. Skufca J.D. McGregor S.J. Math. Biosci. Eng. 2009, 6:1. 10.3934/mbe.2009.6.1
8. Manuca R. Savit R. Physica D 1996, 99:134. 10.1016/S0167-2789(96)00139-X
9. Aguirre L.A. Barros V.C. Souza A.V. P. Comput. Biol. Med. 1999, 29:207. 10.1016/S0010-4825(99)00006-2
10. Gribkov D. Gribkova V. Phys. Rev. E 2000, 61:6538. 10.1103/PhysRevE.61.6538
11. Kadtke J. Phys. Lett. A 1995, 203:196. 10.1016/0375-9601(95)00375-D.
12. Barreto G.A. Mota J.C. M. Souza L.G. M. Frota R.A. Lect. Notes Comput. Sci. 2004, 3029:1146. 10.1007/978-3-540-24677-0_117
13. Aguirre L.A. Letellier C. Math. Probl. Eng. 2009, 2009:238960. 10.1155/2009/238960
14. Faes L. Chon K.H. Nollo G. IEEE Trans. Biomed. Eng. 2009, 56:205. 10.1109/TBME.2008.2008726
15. Rössler O.E. Phys. Lett. 1976, 57A:397.
16. Letellier C. Dutertre P. Maheu B. Chaos 1995, 5:271. 10.1063/1.166076
17. Farmer J.D. Crutchfield J.P. Froehling H. Packard N.H. Shaw R.S. Ann. N.Y. Acad. Sci. 1980, 357:453. 10.1111/j.1749-6632.1980.tb29710.x
18. Letellier C. Aguirre L.A. Chaos 2002, 12:549. 10.1063/1.1487570
19. Letellier C. Maquet J. Le Sceller L. Gouesbet G. Aguirre L.A. J. Phys. A 1998, 31:7913. 10.1088/0305-4470/31/39/008
20. Billings S.A. Korenberg M.J. Chen S. Int. J. Syst. Sci. 1988, 19:1559. 10.1080/00207728808964057
21. Letellier C. Aguirre L.A. Freitas U.S. Chaos 2009, 19:023103. 10.1063/1.3125705
22. Aguirre L.A. Billings S.A. Int. J. Bifurcation Chaos 1994, 4:109. 10.1142/S0218127494000095
23. Letellier C. Ménard O. Aguirre L.A. Modeling and Forecasting Financial Data: Techniques of Nonlinear Dynamics 2002, 283-302. A. S. Soofi, L. Cao, and in edited by and (Kluwer, )
24. Small M. Judd K. Physica D 1998, 117:283. 10.1016/S0167-2789(97)00311-4
25. Aguirre L.A. Furtado E.C. Tôrres L.A. B. Phys. Rev. E 2006, 74(6):066203. 10.1103/PhysRevE.74.066203
26. Bezruchko B.P. Smirnov D.A. Extracting Knowledge From Time Series 2010, and (Springer, Berlin Heidelberg).
27. Letellier C. Mendes E.M. A. M. Chaos 2005, 15:013110. 10.1063/1.1865352
28. Lorenz E. J. Atmos. Sci. 1963, 20:130. 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2.
29. Letellier C. Gilmore R. Phys. Rev. E 2000, 63:016206. 10.1103/PhysRevE.63.016206, and (1).
30. Letellier C. Gouesbet G. J. Phys. II 1996, 6:1615. 10.1051/jp2:1996152
31. Aguirre L.A. Freitas U.S. Letellier C. Maquet J. Physica D 2001, 158:1. 10.1016/S0167-2789(01)00313-X
32. Elton C. Nicholson M. J. Anim. Ecol. 1942, 11:215. 10.2307/1358
33. Maquet J. Letellier C. Aguirre L.A. J. Math. Biol. 2007, 55(1):21-39. 10.1007/s00285-007-0075-9
34. Wolf R. Acad. Sci., Paris, C. R. 1852, 35:704.
35. Carbonell M. Oliver R. Ballester J.L. Astron. Astrophys. 1994, 290:983. and.
36. Eddy J.A. Science 1976, 192:1189. 10.1126/science.192.4245.1189.
37. Letellier C. Aguirre L.A. Maquet J. Gilmore R. Astron. Astrophys. 2006, 449:379. 10.1051/0004-6361:20053947
38. Aguirre L.A. Letellier C. Maquet J. Sol. Phys. 2008, 249:103. 10.1007/s11207-008-9160-5