-
1
-
-
0141651117
-
Vortex crystals
-
van der Giessen E., and Aref H. (Eds)
-
Aref H., Newton P.K., Stremler M.A., Tokieda T., and Vainchtein D.L. Vortex crystals. In: van der Giessen E., and Aref H. (Eds). Advances in Applied Mechanics vol. 39 (2003) 2-81
-
(2003)
Advances in Applied Mechanics
, vol.39
, pp. 2-81
-
-
Aref, H.1
Newton, P.K.2
Stremler, M.A.3
Tokieda, T.4
Vainchtein, D.L.5
-
3
-
-
1842614844
-
Nonlinear stability of a latitudinal ring of point-vortices on a nonrotating sphere
-
Boatto S., and Cabral H.E. Nonlinear stability of a latitudinal ring of point-vortices on a nonrotating sphere. SIAM J. Appl. Math. 64 (2003) 216-230
-
(2003)
SIAM J. Appl. Math.
, vol.64
, pp. 216-230
-
-
Boatto, S.1
Cabral, H.E.2
-
4
-
-
7444238118
-
Stability and bifurcation of the N + 1 vortex problem on sphere
-
Cabral H.E., Meyer K.R., and Schmidt D.S. Stability and bifurcation of the N + 1 vortex problem on sphere. Regul. Chaotic Dyn. 8 (2003) 259-282
-
(2003)
Regul. Chaotic Dyn.
, vol.8
, pp. 259-282
-
-
Cabral, H.E.1
Meyer, K.R.2
Schmidt, D.S.3
-
6
-
-
47049083935
-
-
E. Doedel, A.R. Champneys, T.F. Fairgrieve, Y.A. Kuznetsov, B. Sandstede, X. Wang, AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), 1997. Available by anonymous ftp from ftp.cs.concordia.ca, directory pub/doedel/auto
-
E. Doedel, A.R. Champneys, T.F. Fairgrieve, Y.A. Kuznetsov, B. Sandstede, X. Wang, AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), 1997. Available by anonymous ftp from ftp.cs.concordia.ca, directory pub/doedel/auto
-
-
-
-
7
-
-
0003053373
-
On the conservation of hyperbolic invariant tori for Hamiltonian systems
-
Graff S.M. On the conservation of hyperbolic invariant tori for Hamiltonian systems. J. Differential Equations 15 (1974) 1-69
-
(1974)
J. Differential Equations
, vol.15
, pp. 1-69
-
-
Graff, S.M.1
-
8
-
-
0003478288
-
-
Springer, New York
-
Guckenheimer J., and Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (1983), Springer, New York
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
10
-
-
0040483472
-
Numerical computation of the normal behaviour of invariant curves of n-dimensional maps
-
Jorba A. Numerical computation of the normal behaviour of invariant curves of n-dimensional maps. Nonlinearity 14 (2001) 943-976
-
(2001)
Nonlinearity
, vol.14
, pp. 943-976
-
-
Jorba, A.1
-
11
-
-
0000134383
-
Motion of three point vortices on a sphere
-
Kidambi R., and Newton P.K. Motion of three point vortices on a sphere. Physica D 116 (1998) 95-134
-
(1998)
Physica D
, vol.116
, pp. 95-134
-
-
Kidambi, R.1
Newton, P.K.2
-
12
-
-
0035156343
-
Relative equilibria of point vortices on the sphere
-
Lim C.C., Montaldi J., and Roberts M. Relative equilibria of point vortices on the sphere. Physica D 148 (2001) 97-135
-
(2001)
Physica D
, vol.148
, pp. 97-135
-
-
Lim, C.C.1
Montaldi, J.2
Roberts, M.3
-
17
-
-
0027509008
-
Wave and vortex dynamics on the surface of a sphere
-
Polvani L.M., and Dritschel D.G. Wave and vortex dynamics on the surface of a sphere. J. Fluid Mech. 255 (1993) 35-64
-
(1993)
J. Fluid Mech.
, vol.255
, pp. 35-64
-
-
Polvani, L.M.1
Dritschel, D.G.2
-
18
-
-
0003325660
-
Über invariant Tori in Differenzierbaren Hamiltonschen Systemen
-
Universität Bonn, Bonn
-
Pöschel J. Über invariant Tori in Differenzierbaren Hamiltonschen Systemen. Bonn Math. Schr 120 (1980), Universität Bonn, Bonn
-
(1980)
Bonn Math. Schr
, vol.120
-
-
Pöschel, J.1
-
19
-
-
0345895107
-
The motion of three point vortices on a sphere
-
Sakajo T. The motion of three point vortices on a sphere. Japan J. Indust. Appl. Math. 16 (1999) 321-347
-
(1999)
Japan J. Indust. Appl. Math.
, vol.16
, pp. 321-347
-
-
Sakajo, T.1
-
20
-
-
1842843121
-
Motion of a vortex sheet on a sphere with pole vortices
-
Sakajo T. Motion of a vortex sheet on a sphere with pole vortices. Phys. Fluids 16 (2004) 717-727
-
(2004)
Phys. Fluids
, vol.16
, pp. 717-727
-
-
Sakajo, T.1
-
21
-
-
4344652759
-
Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
-
Sakajo T. Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices. Physica D 196 (2004) 243-264
-
(2004)
Physica D
, vol.196
, pp. 243-264
-
-
Sakajo, T.1
-
22
-
-
33646533079
-
Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices
-
Physica D 225 (2007) 235-236 (erratum)
-
Sakajo T. Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices. Physica D 217 (2006) 142-152 Physica D 225 (2007) 235-236 (erratum)
-
(2006)
Physica D
, vol.217
, pp. 142-152
-
-
Sakajo, T.1
-
23
-
-
33847789436
-
Integrable four-vortex motion on sphere with zero moment of vorticity
-
Sakajo T. Integrable four-vortex motion on sphere with zero moment of vorticity. Phys. Fluids 19 (2007) 017019
-
(2007)
Phys. Fluids
, vol.19
, pp. 017019
-
-
Sakajo, T.1
-
24
-
-
84867955434
-
-
T. Sakajo, K. Yagasaki, Chaotic motion of the N-vortex problem on a sphere: I. Saddle centers in two-degree-of-freedom Hamiltonian, J. Nonlinear Sci. (2008), doi:10.1007/s00332-008-9019-9
-
T. Sakajo, K. Yagasaki, Chaotic motion of the N-vortex problem on a sphere: I. Saddle centers in two-degree-of-freedom Hamiltonian, J. Nonlinear Sci. (2008), doi:10.1007/s00332-008-9019-9
-
-
-
-
25
-
-
3042535414
-
A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem
-
Waalkens H., Burbanks A., and Wiggins S. A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem. J. Phys. A 37 (2004) L257-L265
-
(2004)
J. Phys. A
, vol.37
-
-
Waalkens, H.1
Burbanks, A.2
Wiggins, S.3
-
27
-
-
0034402034
-
Horseshoe in two-degree-of-freedom Hamiltonian systems with saddle-centers
-
Yagasaki K. Horseshoe in two-degree-of-freedom Hamiltonian systems with saddle-centers. Arch. Ration. Mech. Anal. 154 (2000) 275-296
-
(2000)
Arch. Ration. Mech. Anal.
, vol.154
, pp. 275-296
-
-
Yagasaki, K.1
-
28
-
-
0037136307
-
Numerical evidence of fast diffusion in a three-degree-of-freedom Hamiltonian system with a saddle-center
-
Yagasaki K. Numerical evidence of fast diffusion in a three-degree-of-freedom Hamiltonian system with a saddle-center. Phys. Lett. A 301 (2002) 45-52
-
(2002)
Phys. Lett. A
, vol.301
, pp. 45-52
-
-
Yagasaki, K.1
-
29
-
-
29744453947
-
Homoclinic and heteroclinic orbits to invariant tori in multi-degree-of-freedom Hamiltonian systems with saddle-centers
-
Yagasaki K. Homoclinic and heteroclinic orbits to invariant tori in multi-degree-of-freedom Hamiltonian systems with saddle-centers. Nonlinearity 18 (2005) 1331-1350
-
(2005)
Nonlinearity
, vol.18
, pp. 1331-1350
-
-
Yagasaki, K.1
-
30
-
-
47049119089
-
-
K. Yagasaki, Numerical computation of stable and unstable manifolds of normally hyperbolic invariant manifolds (in preparation)
-
K. Yagasaki, Numerical computation of stable and unstable manifolds of normally hyperbolic invariant manifolds (in preparation)
-
-
-
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