Invariant-tori-like Lagrangian coherent structures in geophysical flows

Chaos

Volumn 20, Issue 1, 2010, Pages

  Beron Vera, Francisco J ^a   Olascoaga, María J ^a   Brown, Michael G ^a   Koçak, Huseyin ^b   Rypina, Irina I ^c  

^a UNIVERSITY OF MIAMI   (United States)

^b University of Miami   (United States)

^c WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; GEOLOGY; MOTION; PHYSICS; PROCEDURES; STATISTICAL MODEL; THEORETICAL MODEL; TIME;

ALGORITHMS; GEOLOGY; MODELS, STATISTICAL; MODELS, THEORETICAL; MOTION; PHYSICS; TIME FACTORS;

EID: 77953514016     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3271342     Document Type: Article

References (47)

1. Haller G. Yuan G. Physica D 2000, 147:352. PDNPDT, 0167-2789, 10.1016/S0167-2789(00)00142-1.
2. Haller G. Phys. Fluids 2001, 13:3365. PHFLE6, 1070-6631, 10.1063/1.1403336
3. Shadden S.C. Lekien F. Marsden J.E. Physica D 2005, 212:271. PDNPDT, 0167-2789, 10.1016/j.physd.2005.10.007.
4. Lekien F. Coulliette C. Mariano A.J. Ryan E.H. Shay L.K. Haller G. Marsden J.E. Physica D 2005, 210:1. PDNPDT, 0167-2789, 10.1016/j.physd.2005.06.023
5. Shadden S.C. Dabiri J.O. Marsden J.E. Phys. Fluids 2006, 18:047105. PHFLE6, 1070-6631, 10.1063/1.2189885.
6. Olascoaga M.J. Rypina I.I. Brown M.G. Beron-Vera F.J. Koçak H. Brand L.E. Halliwell G.R. Shay L.K. Geophys. Res. Lett. 2006, 33:L22603. GPRLAJ, 0094-8276, 10.1029/2006GL027800. doi: 10.1029/2006GL027800 .
7. Lekien F. Shadden S.C. Marsden J.E. J. Math. Phys. 2007, 48:065404. JMAPAQ, 0022-2488, 10.1063/1.2740025.
8. Lekien F. Coulliette C. Philos. Trans. R. Soc. London, Ser. A 2007, 365:3061. PTRMAD, 0962-8428, 10.1098/rsta.2007.0020.
9. Olascoaga M.J. Beron-Vera F.J. Brand L.E. Koçak H. J. Geophys. Res. 2008, 113:C12014. JGREA2, 0148-0227, 10.1029/2007JC004533 doi: 10.1029/2007JC004533 .
10. Beron-Vera F.J. Olascoaga M.J. Goni G.J. Geophys. Res. Lett. 2008, 35:L12603. GPRLAJ, 0094-8276, 10.1029/2008GL033957. doi: 10.1029/2008GL033957 .
11. Beron-Vera F.J. Olascoaga M.J. J. Phys. Oceanogr. 2009, 39:1743. JPYOBT, 1520-0485, 10.1175/2009JPO4046.1.
12. Rypina I.I. Brown M.G. Koçak H. J. Phys. Oceanogr. 2009, 39:675. JPYOBT, 1520-0485, 10.1175/2008JPO3975.1.
13. Shadden S.C. Lekien F. Paduan J.D. Chavez F.P. Marsden J.E. Deep-Sea Res., Part II 2009, 56:161. DSROEK, 0967-0645, 10.1016/j.dsr2.2008.08.008.
14. Beron-Vera F.J. Brown M.G. Olascoaga M.J. Rypina I.I. Koçak H. Udovydchenkov I.A. J. Atmos. Sci. 2008, 65:3316. JAHSAK, 0022-4928, 10.1175/2008JAS2579.1
15. Andrews D.G. Holton J.R. Leovy C.B. Middle Atmosphere Dynamics 1987, 40. and International Geophysical Series Vol. (Academic, New York, ).
16. McIntyre M.E. J. Atmos. Terr. Phys. 1989, 51:29. JATPA3, 0021-9169, 10.1016/0021-9169(89)90071-8
17. Shepherd T.G. J. Atmos. Sol.-Terr. Phys. 2000, 62:1587. JASPF3, 1364-6826, 10.1016/S1364-6826(00)00114-0
18. Haynes P. Annu. Rev. Fluid Mech. 2005, 37:263. ARVFA3, 0066-4189, 10.1146/annurev.fluid.37.061903.175710
19. Arnold V.I. Kozlov V.V. Neishtadt A.I. Mathematical Aspects of Classical and Celestial Mechanics 2006, 3. and Encyclopedia of Mathematical Sciences Vol., 3rd ed. (Springer, New York, ).
20. del-Castillo-Negrete D. Morrison P.J. Phys. Fluids A 1993, 5:948. PFADEB, 0899-8213, 10.1063/1.858639.
21. Simó C. Regular Chaotic Dyn. 1998, 3:180. ZZZZZZ, 10.1070/rd1998v003n03ABEH000088
22. Delshams A. de la Llave R. SIAM J. Math. Anal. 2000, 31:1235. SJMAAH, 0036-1410, 10.1137/S003614109834908X.
23. del-Castillo-Negrete D. Greene J.M. Morrison P.J. Physica D 1996, 91:1. PDNPDT, 0167-2789, 10.1016/0167-2789(95)00257-X.
24. Shinohara S. Aizawa Y. Prog. Theor. Phys. 1997, 97:379. PTPKAV, 0033-068X, 10.1143/PTP.97.379.
25. Budyansky M.V. Uleysky M.Y. Prants S.V. Phys. Rev. E 2009, 79:056215. PLEEE8, 1063-651X, 10.1103/PhysRevE.79.056215.
26. Beron-Vera F.J. Brown M.G. J. Acoust. Soc. Am. 2003, 114:123. JASMAN, 0001-4966, 10.1121/1.1582444.
27. Beron-Vera F.J. Olascoaga M.J. Brown M.G. Nonlinear Processes Geophys. 2004, 11:67. ZZZZZZ, 1023-5809.
28. Rypina I.I. Brown M.G. Beron-Vera F.J. Kocak H. Olascoaga M.J. Udovydchenkov I.A. J. Atmos. Sci. 2007, 64:3595. JAHSAK, 0022-4928, 10.1175/JAS4036.1
29. Rypina I.I. Brown M.G. Beron-Vera F.J. Koçak H. Olascoaga M.J. Udovydchenkov I.A. Phys. Rev. Lett. 2007, 98:104102. PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.104102
30. Behringer R.P. Meyers S.D. Swinney H.L. Phys. Fluids 1991, 3:1243. PHFLE6, 1070-6631, 10.1063/1.858052.
31. Sevryuk M.B. Discrete Contin. Dyn. Syst. 2007, 18:569. ZZZZZZ, 1078-0947
32. Jorba T. Simó C. SIAM J. Math. Anal. 1996, 27:1704. SJMAAH, 0036-1410, 10.1137/S0036141094276913.
33. Rüssmann H. Number Theory and Dynamical Systems 1989, 134:5-18. M. M. Dodson, J. A. G. Vickers, in, London Mathematical Society Lecture Note Series Vol., edited by and (Cambridge University, Cambridge, ), pp.
34. Russmann H. Regular Chaotic Dyn. 2001, 6:119. ZZZZZZ, 10.1070/RD2001v006n02ABEH000169
35. Rüssmann H. Regular Chaotic Dyn. 2005, 10:21. ZZZZZZ, 10.1070/RD2005v010n01ABEH000297
36. Sevryuk M.B. J. Dyn. Control Syst. 1995, 1:351. JDCSEK, 1079-2724, 10.1007/BF02269374
37. Chirikov B.V. Phys. Rep. 1979, 52:263. PRPLCM, 0370-1573, 10.1016/0370-1573(79)90023-1
38. Haller G. Phys. Fluids 2002, 14:1851. PHFLE6, 1070-6631, 10.1063/1.1477449
39. Franco E. Pekarek D.N. Peng J. Dabiri J.O. J. Fluid Mech. 2007, 589:125. JFLSA7, 0022-1120, 10.1017/S0022112007007872
40. Green M.A. Rowley C.W. Haller G. J. Fluid Mech. 2007, 572:111. JFLSA7, 0022-1120, 10.1017/S0022112006003648.
41. Mathur M. Haller G. Peacock T. Ruppert-Felsot J.E. Swinney H.L. Phys. Rev. Lett. 2007, 98:144502. PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.144502.
42. Padberg K. Hauff T. Jenko F. Junge O. New J. Phys. 2007, 9:400. NJOPFM, 1367-2630, 10.1088/1367-2630/9/11/400
43. Salman H. Hesthaven J.S. Warburton T. Haller G. Theor. Comput. Fluid Dyn. 2007, 21:39. TCFDEP, 0935-4964, 10.1007/s00162-006-0031-0
44. Drazin P. Howard L. Adv. Appl. Mech. 1966, 9:1. AAMCAY, 0065-2156, 10.1016/S0065-2156(08)70006-1.
45. Kovalyov S. Chaos 2000, 10:153. CHAOEH, 1054-1500, 10.1063/1.166483
46. Beagley S.R. de Grandpré D. Koshyk J.N. McFarlane N.A. Shepherd T.G. Atmos.-Ocean. 1997, 35:293. ATOCDA, 0705-5900.
47. Shepherd T.G. Koshyk J.N. Ngan K. J. Geophys. Res. 2000, 105:12433. JGREA2, 0148-0227, 10.1029/2000JD900133. doi: 10.1029/2000JD900133 .