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F. Laurent-Polz, J. Montaldi, M. Roberts (2005)
Stability of Relative Equilibria of Point Vortices on the SpherearXiv: Dynamical Systems
Mohamed Jamaloodeen, P. Newton (2006)
The N-vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibriaProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462
T. Sakajo (1999)
The motion of three point vortices on a sphereJapan Journal of Industrial and Applied Mathematics, 16
MV Demina, NA Kudryashov (2013)
Rotation, Collapse, and Scattering of Point Vortices, submitted to Theor. Comput. Fluid Dyn.
(2005)
Mathematical Methods of Dynamics of Vortex Structures, Moscow– Izhevsk: R&C Dynamics, ICS, 2005 (Russian)
M. Demina, N. Kudryashov (2012)
Point vortices and classical orthogonal polynomialsRegular and Chaotic Dynamics, 17
K. O'Neil (2006)
Minimal polynomial systems for point vortex equilibriaPhysica D: Nonlinear Phenomena, 219
A V Borisov, AE Pavlov (1998)
Dynamics and Statics of Vortices on a Plane and a Sphere: 1Regul. Chaotic Dyn., 3
M. Demina, N. Kudryashov (2011)
Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equationsRegular and Chaotic Dynamics, 16
K. O'Neil (2008)
Equilibrium configurations of point vortices on a sphereRegular and Chaotic Dynamics, 13
F. Laurent-Polz (2001)
Point vortices on the sphere: a case with opposite vorticitiesNonlinearity, 15
A V Borisov, I S Mamaev (2008)
Proc. of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25–30 August, 2006)
A. Borisov, I. Mamaev (2008)
Dynamics of Two Rings of Vortices on a Sphere
C C Lim, J Montaldi, M Roberts (2001)
Relative Equilibria of Point Vortices on the SpherePhys. D, 148
(2003)
Vortex Crystals
(1998)
Dynamics and Statics of Vortices on a Plane and a Sphere: 1, Regul. Chaotic Dyn
AV Borisov, I S Mamaev (2005)
Mathematical Methods of Dynamics of Vortex Structures
H. Aref (2010)
Relative equilibria of point vortices and the fundamental theorem of algebraProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467
P. Newton (2001)
The N-Vortex Problem: Analytical Techniques
M. Demina, N. Kudryashov (2014)
Rotation, collapse, and scattering of point vorticesTheoretical and Computational Fluid Dynamics, 28
M. Demina, N. Kudryashov (2011)
Vortices and polynomials: non-uniqueness of the Adler–Moser polynomials for the Tkachenko equationJournal of Physics A: Mathematical and Theoretical, 45
A. Borisov, A. Kilin (2005)
Stability of Thomson's Configurations of Vortices on a SpherearXiv: Chaotic Dynamics
R Kidambi, P K Newton (1998)
Motion of Three Point Vortices on a SpherePhys. D, 116
The problem of constructing and classifying equilibrium and relative equilibrium configurations of point vortices on a sphere is studied. A method which enables one to find any such configuration is presented. Configurations formed by the vortices placed at the vertices of Platonic solids are considered without making the assumption that the vortices possess equal in absolute value circulations. Several new configurations are obtained.
Regular and Chaotic Dynamics – Springer Journals
Published: Aug 7, 2013
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