Modulational instability and spatiotemporal transition to chaos

Chaos, Solitons and Fractals

Volumn 27, Issue 4, 2006, Pages 914-925

  Mohamadou, Alidou ^a   Kenfack Jiotsa, A ^a   Kofane T C ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LINEAR EQUATIONS; MATHEMATICAL MODELS; SYSTEM STABILITY;

GINZBURG-LANDAU EQUATION; LINEAR STABILITY ANALYSIS; MODULATION INSTABILITY; SPATIOTEMPORAL TRANSITION;

CHAOS THEORY;

EID: 24344501279     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.04.039     Document Type: Article

References (45)

1. Y. Kuramoto Chemical oscillations, waves and turbulence 1984 Springer Berlin
2. M.C. Cross, and P.C. Hohenberg Rev Mod Phys 65 1993 851
3. A.C. Newell, T. Passot, and J. Lega Annu Rev Fluid Mech 25 1993 399
4. T. Bohr, M.H. Jensen, G. Paladin, and A. Vulpiani Dynamical systems approach to turbulence 1998 Cambridge University New York
5. G. Dangelmayr, and L. Kramer Mathematical approaches to pattern formation Evolutions of spontaneous structures in dissipative continuous systems 1998 Springer New York
6. L.M. Pismen Vortices in nonlinear fields 1999 Oxford University/Clarendon Press Oxford/New York
7. A.C. Newell Lect Appl Math 15 1974 157
8. A.C. Newell, and J.A. Whitehead Review of the finite bandwidth concept Instability of continuous systems 1971 Springer-Verlag Berlin
9. K. Stewartson, and J.T. Stuart J Fluid Mech 48 1971 529
10. R.C. Di Prima, W. Eckhaus, and L.A. Segel J Fluid Mech 49 1971 705
11. Y. Kuramoto, and T. Tsuzuki Prog Theor Phys 55 1976 356
12. G.L. Lamb Jr. Elements of soliton theory 1980 Wiley-Interscience
13. R.K. Dodd, J.C. Eilbeck, J.D. Gibon, and H.C. Morris Solitons and nonlinear wave equation 1982 Academic Press
14. A. Jeffrey, and T. Kawahara Asymptotic methods in nonlinear wave theory 1982 Pitman Publishing Inc.
15. T. Tsurui Prog Theor Phys 48 1977 1196
16. J. Corones J Phys Rev B 16 1977 1763
17. K. Muroya, N. Saitoh, and S. Watanabe J Phys Soc Jpn 5 1982 1024
18. R. Ndohi, and T.C. Kofané Phys Lett A 154 1991 377
19. J. Ketchakeu, T.C. Kofané, and A. Zibi Phys Scr 44 1991 505
20. F.B. Pelap, and T.C. Kofané Phys Scr 57 1998 410
21. A. Mohamadou, A.J. Kenfact, and T.C. Kofané Chaos, Solitons & Fractals 24 2005 957
22. G.P. Agrawal Nonlinear fiber optics 2nd ed. 1995 Academic New York
23. F.M. Mitschke, and L.K. Mollenauer Opt Lett 11 1986 659
24. K. Tai, A. Hasegawa, and N. Bekki Opt Lett 13 1988 392
25. R.H. Stolen, and W.J. Tomlinson J Opt Soc Am B 9 1992 565
26. B. Zysset, P. Beaud, and W. Hodel Appl Phys Lett 50 1987 1027
27. S.V. Chernikov, and P.V. Mamyshev Opt Soc Am B 8 1991 1633
28. Y. Kodoma, and A. Hasegawa IEEE J Quantum Electron 23 1987 510
29. D. Mihalache, L. Torner, F. Molloveanu, N.C. Panoiu, and N. Truta Phys Rev E 48 1993 4699
30. L. Gilles, H. Bachiri, and L. Vàzquez Phys Rev E 57 1998 6079
31. C.F. Chen, and S. Chi Opt Commun 157 1998 170
32. A.C. Newell, and J.A. Whitehead J Fluid Mech 38 1969 279
33. L.A. Segel J Fluid Mech 38 1969 203
34. B.A. Malomed, and L. Stenflo J Phys A: Math Gen 24 1991 L1149
35. E. Yomba, and T.C. Kofané Chaos, Solitons & Fractals 17 2003 847
36. E. Yomba, and T.C. Kofané Physica D 125 1999 105
37. E. Yomba, T.C. Kofané, and F.B. Pelap J Phys Soc Jpn 65 1996 2337
38. F.B. Pelap, T.C. Kofané, N. Flytzanis, and M. Remoissenet J Phys Soc Jpn 70 2001 2568
39. C.G. Lange, and A.C. Newell SIAM J Appl Math 27 1974 441
40. K. Nozaki, and N. Bekki Phys Rev Lett 51 1983 2171
41. A. Kenfack-Jiotsa, and T.C. Kofané J Phys Soc Jpn 72 2003 1800
42. F.B. Pelap, and M.M. Faye J Phys A: Math Gen 37 2004 1727
43. B.I. Shraima, A. Pumir, W. Van Saarloos, P.C. Hohenberg, H. Chaté, and M. Holen Physica D 57 1992 241
44. T. Bohr, E. Bosch, and W. Van de Water Nature 369 1994 129
45. D.A. Egol, and H.S. Greenside Phys Rev Lett 74 1995 1751