Class information for:
Level 1: LIE SYSTEM//SUPERPOSITION RULE//VESSIOT GULDBERG LIE ALGEBRA

Basic class information

Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
289 3       PHYSICS, MATHEMATICAL//SOLITONS//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 42790
1000 2             CONSERVED QUANTITY//LIE ALGEBROIDS//REGULAR & CHAOTIC DYNAMICS 10735
25948 1                   LIE SYSTEM//SUPERPOSITION RULE//VESSIOT GULDBERG LIE ALGEBRA 289

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LIE SYSTEM authKW 2741396 9% 93% 27
2 SUPERPOSITION RULE authKW 1168431 5% 71% 15
3 VESSIOT GULDBERG LIE ALGEBRA authKW 981489 3% 100% 9
4 DIFFERENTIAL MATRIX RICCATI EQUATION DMRE authKW 436217 1% 100% 4
5 ALGEBRAIC MATRIX SYLVESTER EQUATION AMSE authKW 327163 1% 100% 3
6 RICCATI HIERARCHY authKW 327163 1% 100% 3
7 DYSON SERIES authKW 290809 1% 67% 4
8 MILNE PINNEY EQUATION authKW 249264 1% 57% 4
9 PIECEWISE LINEARIZED METHOD authKW 245371 1% 75% 3
10 QUASI LIE SCHEME authKW 245371 1% 75% 3

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Physics, Mathematical 2516 26% 0% 76
2 Mathematics, Applied 1206 26% 0% 76
3 Automation & Control Systems 581 10% 0% 28
4 Physics, Multidisciplinary 536 21% 0% 60
5 Physics, Particles & Fields 230 10% 0% 29
6 Mathematics 133 11% 0% 31
7 Astronomy & Astrophysics 45 7% 0% 19
8 Operations Research & Management Science 40 3% 0% 9
9 Computer Science, Interdisciplinary Applications 12 2% 0% 7
10 Mathematics, Interdisciplinary Applications 9 2% 0% 5

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ESCUELA SUPER INGENIEROS CAMINOS 109054 0% 100% 1
2 MECHANITRON 109054 0% 100% 1
3 NUCLEO ARQ COMP SISTEMAS OPERACIONAIS 109054 0% 100% 1
4 POPOVICIU NUMER ANAL 109054 0% 100% 1
5 SCI PHYS B 5 109054 0% 100% 1
6 SCI PHYS B5 109054 0% 100% 1
7 SES ROMA 1 109054 0% 100% 1
8 SIS INFORMAT 109054 0% 100% 1
9 SEMINARIO MATEMAT 62314 1% 29% 2
10 MATH METHODS PHYS 59574 3% 5% 10

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS 7672 5% 0% 15
2 REPORTS ON MATHEMATICAL PHYSICS 6556 3% 1% 8
3 LETTERE AL NUOVO CIMENTO 3872 3% 0% 8
4 GRAVITATION & COSMOLOGY 3635 1% 1% 4
5 QUANTUM INFORMATION PROCESSING 3111 2% 0% 7
6 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 2739 2% 0% 6
7 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 2100 1% 1% 3
8 RAIRO-AUTOMATIQUE-SYSTEMS ANALYSIS AND CONTROL 1981 0% 2% 1
9 JOURNAL OF MATHEMATICAL PHYSICS 1926 6% 0% 17
10 DISSERTATIONES MATHEMATICAE 1328 0% 1% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LIE SYSTEM 2741396 9% 93% 27 Search LIE+SYSTEM Search LIE+SYSTEM
2 SUPERPOSITION RULE 1168431 5% 71% 15 Search SUPERPOSITION+RULE Search SUPERPOSITION+RULE
3 VESSIOT GULDBERG LIE ALGEBRA 981489 3% 100% 9 Search VESSIOT+GULDBERG+LIE+ALGEBRA Search VESSIOT+GULDBERG+LIE+ALGEBRA
4 DIFFERENTIAL MATRIX RICCATI EQUATION DMRE 436217 1% 100% 4 Search DIFFERENTIAL+MATRIX+RICCATI+EQUATION+DMRE Search DIFFERENTIAL+MATRIX+RICCATI+EQUATION+DMRE
5 ALGEBRAIC MATRIX SYLVESTER EQUATION AMSE 327163 1% 100% 3 Search ALGEBRAIC+MATRIX+SYLVESTER+EQUATION+AMSE Search ALGEBRAIC+MATRIX+SYLVESTER+EQUATION+AMSE
6 RICCATI HIERARCHY 327163 1% 100% 3 Search RICCATI+HIERARCHY Search RICCATI+HIERARCHY
7 DYSON SERIES 290809 1% 67% 4 Search DYSON+SERIES Search DYSON+SERIES
8 MILNE PINNEY EQUATION 249264 1% 57% 4 Search MILNE+PINNEY+EQUATION Search MILNE+PINNEY+EQUATION
9 PIECEWISE LINEARIZED METHOD 245371 1% 75% 3 Search PIECEWISE+LINEARIZED+METHOD Search PIECEWISE+LINEARIZED+METHOD
10 QUASI LIE SCHEME 245371 1% 75% 3 Search QUASI+LIE+SCHEME Search QUASI+LIE+SCHEME

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1



rank cluster_id2 link
1 11707 GEODYSYC//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//JACOBI LAST MULTIPLIER
2 37262 COMP PHYS MATH SIMULAT//PHYS MATH NAT SCI//BOSE OPERATORS
3 6458 TIME DEPENDENT HARMONIC OSCILLATOR//INVARIANT OPERATOR//TIME DEPENDENT OSCILLATOR
4 34440 GAUSSIAN APPROXIMATING FUNCTIONS//APPROXIMATE APPROXIMATIONS//APPROXIMATE FACTORIZATION ERRORS
5 30661 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//MATRIX DIFFERENCE SCHEME
6 21160 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
7 17004 ISOSPECTRAL FLOW//TODA FLOW//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS
8 31196 MATRIX BOUND//CONTINUOUS COUPLED ALGEBRAIC RICCATI EQUATION//CONTINUOUS ALGEBRAIC RICCATI EQUATION
9 26511 GOURSAT FLAG//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA
10 7901 EXCEPTIONAL ORTHOGONAL POLYNOMIALS//SUPERSYMMETRIC QUANTUM MECHANICS//SHAPE INVARIANCE

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