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Roman Smirnov
Roman Smirnov
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Cited by
Year
Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
JT Horwood, RG McLenaghan, RG Smirnov
Communications in mathematical physics 259, 679-709, 2005
662005
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
442004
Andrew Lenard: a mystery unraveled
J Praught, RG Smirnov
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1, 005, 2005
412005
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
402002
Killing tensors as irreducible representations of the general linear group
RG McLenaghan, R Milson, RG Smirnov
Comptes Rendus Mathematique 339 (9), 621-624, 2004
372004
Bi-Hamiltonian formalism: a constructive approach
RG Smirnov
Letters in Mathematical Physics 41, 333-347, 1997
311997
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
302001
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
252020
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
242004
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
222004
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
221999
A class of superintegrable systems of Calogero type
RG Smirnov, P Winternitz
Journal of mathematical physics 47 (9), 2006
212006
Equivalence problem for the orthogonal webs on the 3-sphere
CM Cochran, RG McLenaghan, RG Smirnov
Journal of mathematical physics 52 (5), 2011
162011
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
162002
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
161997
Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry
JT Horwood, RG McLenaghan, RG Smirnov
Journal of mathematical physics 50 (5), 2009
152009
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
151997
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
151996
An invariant classification of cubic integrals of motion
RG McLenaghan, RG Smirnov, D The
arXiv preprint nlin/0305048, 2003
142003
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
112008
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