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nlin.SI2012
Elliptic solutions in the Hénon - Heiles model
Maria V. Demina, Nikolai A. Kudryashov
Equations of motion corresponding to the Hénon - Heiles system are considered. A method enabling one to find all elliptic solutions of an autonomous ordinary differential equation…
nlin.SI2012★ 14 cited
Point vortices and classical orthogonal polynomials
Maria V. Demina, Nikolay A. Kudryashov
Stationary equilibria of point vortices with arbitrary choice of circulations in a background flow are studied. Differential equations satisfied by generating polynomials of vortex…