The vortex dynamics analogue of the restricted three-body problem: Advection in the field of three identical point vortices

Journal of Physics A: Mathematical and General

Volumn 30, Issue 6, 1997, Pages 2263-2280

  Neufeld, Z ^a   Tel T ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041357280     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/6/043     Document Type: Article

References (62)

1. Saffman P G 1992 Vortex Dynamics (Cambridge: Cambridge University Press)
2. Novikov E A 1975 Sov. Phys.-JETP 41 937
3. Aref H 1979 Phys. Fluids 22 393
4. Aref H and Pomphrey N 1980 Phys. Lett. 78A 297
5. Aref H and Pomphrey N 1982 Proc. R. Soc. A 380 359
6. Aref H 1983 Ann. Rev. Fluid Mech. 15 1
7. Eckhardt B and Aref H 1988 Phil. Trans. R. Soc. A 326 655 Eckhardt B 1988 Europhys. Lett. 5 107
8. Eckhardt B and Aref H 1988 Phil. Trans. R. Soc. A 326 655 Eckhardt B 1988 Europhys. Lett. 5 107
9. Aref H, Jones S W, Mofina S and Zawadski I 1989 Physica 37D 423
10. Meleshko V V, Konstantinov M Yu, Gurzhi A A and Konovaljuk 1992 Phys. Fluids A 4 2779
11. Zanetti L and Franzese P 1994 Physica 76D 99
12. Meleshko VV 1994 Phys. Fluids 6 6
13. Rom-Kedar V, Leonard A and Wiggins S 1990 J. Fluid Mech. 214 347
14. Elhmaidi D, Provenzale A and Babiano A 1993 J. Fluid Mech. 257 533 Provenzale A, Babiano A and Villone B 1995 Chaos Solitons and Fractals 5 2055
15. Elhmaidi D, Provenzale A and Babiano A 1993 J. Fluid Mech. 257 533 Provenzale A, Babiano A and Villone B 1995 Chaos Solitons and Fractals 5 2055
16. Babiano A, Boffetta G, Provenzale A and Vulpiani A 1994 Phys. Fluids 6 2465
17. Péntek Á, Tél T and Toroczkai Z 1995 J. Phys. A: Math. Gen. 28 2191 Péntek Á, Tél T and Toroczkai Z 1995 Fractals 3 33
18. Péntek Á, Tél T and Toroczkai Z 1995 J. Phys. A: Math. Gen. 28 2191 Péntek Á, Tél T and Toroczkai Z 1995 Fractals 3 33
19. Boffetta G, Celani A and Franzese P 1996 J. Phys. A: Math. Gen. 29 3749
20. Lamb H 1932 Hydrodynamics (Cambridge: Cambridge University Press)
21. Kochin N E, Kibel I A and Rose N V 1964 Theoretical Hydrodynamics (New York: Interscience)
22. Chapman D M F 1978 J. Math. Phys. 19 1988
23. Poincaré H 1892 Les Méthodes Nouvelles de la Mécanique Céleste (New York: Dover) Birkhofff G D 1912 Rend. Circ. Mat. Palermo 39 1 Wintner A 1941 The Analytical Foundations of Celestial Mechanics (Princeton, NJ: Princeton University Press) Murison M A 1989 Astron. J. 98 2346
24. Poincaré H 1892 Les Méthodes Nouvelles de la Mécanique Céleste (New York: Dover) Birkhofff G D 1912 Rend. Circ. Mat. Palermo 39 1 Wintner A 1941 The Analytical Foundations of Celestial Mechanics (Princeton, NJ: Princeton University Press) Murison M A 1989 Astron. J. 98 2346
25. Poincaré H 1892 Les Méthodes Nouvelles de la Mécanique Céleste (New York: Dover) Birkhofff G D 1912 Rend. Circ. Mat. Palermo 39 1 Wintner A 1941 The Analytical Foundations of Celestial Mechanics (Princeton, NJ: Princeton University Press) Murison M A 1989 Astron. J. 98 2346
26. Poincaré H 1892 Les Méthodes Nouvelles de la Mécanique Céleste (New York: Dover) Birkhofff G D 1912 Rend. Circ. Mat. Palermo 39 1 Wintner A 1941 The Analytical Foundations of Celestial Mechanics (Princeton, NJ: Princeton University Press) Murison M A 1989 Astron. J. 98 2346
27. Szebehely V 1967 Theory of Orbits (New York: Academic)
28. Landau L D and Lifschitz I M 1960 Classical Mechanics (London: Pergamon)
29. Aref H 1984 J. Fluid Mech. 143 1 Khakhar D V, Rising H and Ottino J M 1987 J. Fluid Mech. 172 419
30. Aref H 1984 J. Fluid Mech. 143 1 Khakhar D V, Rising H and Ottino J M 1987 J. Fluid Mech. 172 419
31. Aref H 1985 Theoretical and Applied Mechanics ed F I Niordson and N Olhoff (Amsterdam: North-Holland)
32. Aref H and Balachandar S 1986 Phys. Fluids 29 3515
33. Chaiken J, Chevray R, Tabor M and Tan Q M 1986 Proc. R. Soc. A 408 165
34. Ottino J M 1989 The Kinematics of Mixing: Stretching, Chaos and Transport (Cambridge: Cambridge University Press) Ottino J M 1990 Ann. Rev. Fluid Mech. 22 207
35. Ottino J M 1989 The Kinematics of Mixing: Stretching, Chaos and Transport (Cambridge: Cambridge University Press) Ottino J M 1990 Ann. Rev. Fluid Mech. 22 207
36. Jana S C, Metcalfe G and Ottino J M 1994 J. Fluid Mech. 269 199
37. Crisanti A et al 1991 Riv. Nuovo Cimento 14 1
38. Muzzio F J, Swanson P D and Ottino JM 1992 Int. J. Bifurc. Chaos 2 37
39. Wiggins S 1992 Chaotic Transport in Dynamical Systems (Berlin: Springer)
40. Solomon T H and Gollub J P 1988 Phys. Rev. A 38 6280 Solomon T H, Weeks E R and Swinney H L 1994 Physica 76D 70
41. Solomon T H and Gollub J P 1988 Phys. Rev. A 38 6280 Solomon T H, Weeks E R and Swinney H L 1994 Physica 76D 70
42. Sommerer J C and Ott E 1993 Science 259 281 Sommerer J C 1994 Physica 76D 85
43. Sommerer J C and Ott E 1993 Science 259 281 Sommerer J C 1994 Physica 76D 85
44. Pierrehumbert R T 1994 Chaos Solitons and Fractals 4 1091
45. Beigie D, Leonard A and Wiggins S 1994 Chaos Solitons and Fractals 4 749
46. Péntek Á, Toroczkai Z, Tél T, Grebogi C and Yorke J A 1995 Phys. Rev. E 51 4076
47. Newton P K 1994 Physica 79D 416
48. Tél T 1990 Directions in Chaos vol 3, ed Hao Bai-Lin (Singapore: World Scientific)
49. Beck C and Schlögl F 1993 Thermodynamics of Chaotic Systems (Cambridge: Cambridge University Press) Ott E 1993 Chaos in Dynamical Systems (Cambridge: Cambridge University Press)
50. Beck C and Schlögl F 1993 Thermodynamics of Chaotic Systems (Cambridge: Cambridge University Press) Ott E 1993 Chaos in Dynamical Systems (Cambridge: Cambridge University Press)
51. Newhouse S and Pignataro T 1993 J. Stat. Phys. 72 1331
52. Ziemniak E, Jung C and Tél T 1994 Physica 76D 123
53. Jung C and Ziemniak E 1994 Fractals in the Natural and Applied Sciences ed M M Novak (Amsterdam: North-Holland)
54. Smith R H and Szebehely V 1993 Celest. Mech. Dynam. Astron. 56 409
55. Smilansky U 1992 Chaos and Quantum Physics ed M J Giannoni et al (New York: Elsevier) Jung C 1992 Acta Phys. Pol. 23 323 Ott E and Tél T 1993 Chaos 3 417
56. Smilansky U 1992 Chaos and Quantum Physics ed M J Giannoni et al (New York: Elsevier) Jung C 1992 Acta Phys. Pol. 23 323 Ott E and Tél T 1993 Chaos 3 417
57. Smilansky U 1992 Chaos and Quantum Physics ed M J Giannoni et al (New York: Elsevier) Jung C 1992 Acta Phys. Pol. 23 323 Ott E and Tél T 1993 Chaos 3 417
58. Kovács Z and Wiesenfeld L 1995 Phys. Rev. E 51 5476
59. Mulholland J D 1970 Celest. Mech. 1 320
60. Simó C 1978 Celest. Mech. 18 165 Majorana A 1981 Celest. Mech. 25 267 Casasayas J, Llibre J and Nunes A 1994 Celest. Mech. 60 273.
61. Simó C 1978 Celest. Mech. 18 165 Majorana A 1981 Celest. Mech. 25 267 Casasayas J, Llibre J and Nunes A 1994 Celest. Mech. 60 273.
62. Simó C 1978 Celest. Mech. 18 165 Majorana A 1981 Celest. Mech. 25 267 Casasayas J, Llibre J and Nunes A 1994 Celest. Mech. 60 273.