Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space JT Horwood, RG McLenaghan, RG Smirnov Communications in mathematical physics 259, 679-709, 2005 | 66 | 2005 |
An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics RG McLenaghan, RG Smirnov, D The Journal of mathematical physics 45 (3), 1079-1120, 2004 | 44 | 2004 |
Andrew Lenard: a mystery unraveled J Praught, RG Smirnov SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1, 005, 2005 | 41 | 2005 |
Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the -symmetric Yang–Mills theories of Yatsun RG McLenaghan, RG Smirnov, D The Journal of Mathematical Physics 43 (3), 1422-1440, 2002 | 40 | 2002 |
Killing tensors as irreducible representations of the general linear group RG McLenaghan, R Milson, RG Smirnov Comptes Rendus Mathematique 339 (9), 621-624, 2004 | 37 | 2004 |
Bi-Hamiltonian formalism: a constructive approach RG Smirnov Letters in Mathematical Physics 41, 333-347, 1997 | 31 | 1997 |
A geometrical approach to the problem of integrability of Hamiltonian systems by separation of variables AT Bruce, RG McLenaghan, RG Smirnov Journal of Geometry and Physics 39 (4), 301-322, 2001 | 30 | 2001 |
In search of a new economic model determined by logistic growth RG Smirnov, K Wang European Journal of Applied Mathematics 31 (2), 339-368, 2020 | 25 | 2020 |
Theory of algebraic invariants of vector spaces of Killing tensors: methods for computing the fundamental invariants RJ Deeley, JT Horwood, RG McLenaghan, RG Smirnov Proc. Inst. Math. NAS Ukraine 50, 1079-1086, 2004 | 24 | 2004 |
Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature RG Smirnov, J Yue Journal of mathematical physics 45 (11), 4141-4163, 2004 | 22 | 2004 |
Best uniform approximation of complex-valued functions by generalized polynomials having restricted ranges GS Smirnov, RG Smirnov Journal of approximation theory 100 (2), 284-303, 1999 | 22 | 1999 |
A class of superintegrable systems of Calogero type RG Smirnov, P Winternitz Journal of mathematical physics 47 (9), 2006 | 21 | 2006 |
Equivalence problem for the orthogonal webs on the 3-sphere CM Cochran, RG McLenaghan, RG Smirnov Journal of mathematical physics 52 (5), 2011 | 16 | 2011 |
Intrinsic characterizations of orthogonal separability for natural Hamiltonians with scalar potentials on pseudo-Riemannian spaces RG Mclenaghan, RG Smirnov Journal of Nonlinear Mathematical Physics 9 (sup1), 140-151, 2002 | 16 | 2002 |
Magri–Morosi–Gel’fand–Dorfman’s bi-Hamiltonian constructions in the action-angle variables RG Smirnov Journal of Mathematical Physics 38 (12), 6444-6454, 1997 | 16 | 1997 |
Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry JT Horwood, RG McLenaghan, RG Smirnov Journal of mathematical physics 50 (5), 2009 | 15 | 2009 |
Best uniform restricted ranges approximation of complex-valued functions GS Smirnov, RG Smirnov Mathematical Reports of the Academy of Sciences 19 (2), 58-63, 1997 | 15 | 1997 |
On the master symmetries related to certain classes of integrable Hamiltonian systems RG Smirnov Journal of Physics A: Mathematical and General 29 (24), 8133, 1996 | 15 | 1996 |
An invariant classification of cubic integrals of motion RG McLenaghan, RG Smirnov, D The arXiv preprint nlin/0305048, 2003 | 14 | 2003 |
On geometric properties of joint invariants of Killing tensors CM Adlam, RG Mclenaghan, RG Smirnov Symmetries and Overdetermined Systems of Partial Differential Equations, 205-221, 2008 | 11 | 2008 |