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Volumn 19, Issue 1, 2006, Pages 75-93

High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere

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EID: 29144446216     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/19/1/005     Document Type: Article
Times cited : (3)

References (19)
  • 2
    • 1842614844 scopus 로고    scopus 로고
    • Nonlinear stability of a latitudinal ring of point-vortices on a nonrotating sphere
    • Boatto S and Cabral H E 2003 Nonlinear stability of a latitudinal ring of point-vortices on a nonrotating sphere SIAM J. Appl. Math. 64 216-30
    • (2003) SIAM J. Appl. Math. , vol.64 , Issue.1 , pp. 216-230
    • Boatto, S.1    Cabral, H.E.2
  • 3
    • 0022113187 scopus 로고
    • The stability and energetics of co-rotating uniform vortices
    • Dritschel D G 1985 The stability and energetics of co-rotating uniform vortices J. Fluid Mech. 358 95-134
    • (1985) J. Fluid Mech. , vol.358 , pp. 95-134
    • Dritschel, D.G.1
  • 4
    • 0000134383 scopus 로고    scopus 로고
    • Motion of three point vortices on a sphere
    • Kidambi R and Newton P K 1998 Motion of three point vortices on a sphere Physica D 116 95-134
    • (1998) Physica , vol.116 , Issue.1-2 , pp. 143-134
    • Kidambi, R.1    Newton, P.K.2
  • 5
    • 2242425354 scopus 로고    scopus 로고
    • Collapse of three vortices on a sphere
    • Kidambi R and Newton P K 1999 Collapse of three vortices on a sphere Nuovo Cimento C 22 779-91
    • (1999) Nuovo Cimento , vol.22 , pp. 779-791
    • Kidambi, R.1    Newton, P.K.2
  • 6
    • 0346053689 scopus 로고    scopus 로고
    • Streamline topologies for integrable vortex motion on a sphere
    • Kidambi R and Newton P K 2000 Streamline topologies for integrable vortex motion on a sphere Physica D 140 95-125
    • (2000) Physica , vol.140 , Issue.1-2 , pp. 95-125
    • Kidambi, R.1    Newton, P.K.2
  • 7
    • 0013229599 scopus 로고
    • Vortex motion on a sphere
    • Kimura Y and Okamoto H 1987 Vortex motion on a sphere J. Phys. Soc. Japan 56 4203-6
    • (1987) J. Phys. Soc. Japan , vol.56 , Issue.12 , pp. 4203-4206
    • Kimura, Y.1    Okamoto, H.2
  • 8
    • 7244251579 scopus 로고    scopus 로고
    • On nonlinear stability of the regular vortex systems on a sphere
    • Kurakin L G 2004 On nonlinear stability of the regular vortex systems on a sphere Chaos 14 592-602
    • (2004) Chaos , vol.14 , Issue.3 , pp. 592-602
    • Kurakin, L.G.1
  • 9
    • 9544231654 scopus 로고    scopus 로고
    • Relative periodic orbits in point vortex systems
    • Laurent-Polz F 2004 Relative periodic orbits in point vortex systems Nonlinearity 17 1989-2013
    • (2004) Nonlinearity , vol.17 , Issue.6 , pp. 1989-2013
    • Laurent-Polz, F.1
  • 10
    • 0032381533 scopus 로고    scopus 로고
    • Relative equilibria of symmetric n -body problems on a sphere: Inverse and direct results
    • Lim C 1998 Relative equilibria of symmetric n -body problems on a sphere: inverse and direct results Commun. Pure. Appl. Math. 51 341-71
    • (1998) Commun. Pure. Appl. Math. , vol.51 , Issue.4 , pp. 341-371
    • Lim, C.1
  • 11
    • 0035156343 scopus 로고    scopus 로고
    • Relative equilibria of point vortices on the sphere
    • Lim C, Montaldi J and Roberts M 2001 Relative equilibria of point vortices on the sphere Physica D 148 97-135
    • (2001) Physica , vol.148 , Issue.1-2 , pp. 97-135
    • Lim, C.1    Montaldi, J.2    Roberts, M.3
  • 13
    • 0032358932 scopus 로고    scopus 로고
    • Point vortices on a sphere: Stability of relative equilibria
    • Pekarsky S and Marsden J E 1998 Point vortices on a sphere: stability of relative equilibria J. Math. Phys. 39 5894-907
    • (1998) J. Math. Phys. , vol.39 , Issue.11 , pp. 5894-5907
    • Pekarsky, S.1    Marsden, J.E.2
  • 14
    • 0027509008 scopus 로고
    • Wave and vortex dynamics on the surface of a sphere
    • Polvani L M and Dritschel D G 1993 Wave and vortex dynamics on the surface of a sphere J. Fluid Mech. 255 35-64
    • (1993) J. Fluid Mech. , vol.255 , pp. 35-64
    • Polvani, L.M.1    Dritschel, D.G.2
  • 15
    • 0345895107 scopus 로고    scopus 로고
    • The motion of three point vortices on a sphere
    • Sakajo T 1999 The motion of three point vortices on a sphere Japan. J. Indust. Appl. Math. 16 321-47
    • (1999) Japan. J. Indust. Appl. Math. , vol.16 , pp. 321-347
    • Sakajo, T.1
  • 16
    • 1842843121 scopus 로고    scopus 로고
    • Motion of a vortex sheet on a sphere with pole vortices
    • Sakajo T 2004 Motion of a vortex sheet on a sphere with pole vortices Phys. Fluids 16 717-27
    • (2004) Phys. Fluids , vol.16 , Issue.3 , pp. 717-727
    • Sakajo, T.1
  • 17
    • 4344652759 scopus 로고    scopus 로고
    • Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
    • Sakajo T 2004 Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices Physica D 196 243-64
    • (2004) Physica , vol.196 , Issue.3-4 , pp. 243-264
    • Sakajo, T.1
  • 18
    • 29144470894 scopus 로고    scopus 로고
    • Motion of unstable polygonal ring of vortex points on sphere with pole vortices
    • Sakajo T 2005 Motion of unstable polygonal ring of vortex points on sphere with pole vortices Proc. IUTAM (Kyoto 2004) at press
    • (2005) Proc. IUTAM
    • Sakajo, T.1
  • 19
    • 0037054622 scopus 로고    scopus 로고
    • Periodic motions of vortices on surfaces with symmetry
    • Souliére A and Tokieda T 2002 Periodic motions of vortices on surfaces with symmetry J. Fluid Mech. 460 83-92
    • (2002) J. Fluid Mech. , vol.460 , pp. 83-92
    • Souliére, A.1    Tokieda, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.