Class information for:
Level 1: SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12667 889 25.2 48%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
1529 2             LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER 7469
12667 1                   SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS 889

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SUPERINTEGRABILITY authKW 916485 4% 68% 39
2 SUPERINTEGRABLE SYSTEMS authKW 495954 2% 76% 19
3 STACKEL SYSTEMS authKW 244240 1% 89% 8
4 SEPARATION OF VARIABLES authKW 159787 4% 14% 33
5 QUADRATIC ALGEBRAS authKW 141296 1% 34% 12
6 CONFORMAL SUPERINTEGRABILITY authKW 137386 0% 100% 4
7 QUASI BI HAMILTONIAN SYSTEMS authKW 137386 0% 100% 4
8 BI HAMILTONIAN MANIFOLDS authKW 120206 1% 50% 7
9 DYNAMICAL ALGEBRAS authKW 109907 0% 80% 4
10 RECH MATH address 108061 6% 6% 53

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Physics, Mathematical 45384 63% 0% 557
2 Physics, Multidisciplinary 3236 28% 0% 253
3 Physics, Particles & Fields 1156 13% 0% 112
4 Physics, Nuclear 1029 11% 0% 96
5 Mathematics, Applied 972 14% 0% 126
6 Mathematics 46 5% 0% 42
7 Mechanics 43 3% 0% 31
8 Mathematics, Interdisciplinary Applications 20 2% 0% 14
9 Astronomy & Astrophysics 13 3% 0% 28
10 Education, Scientific Disciplines 8 1% 0% 6

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 RECH MATH 108061 6% 6% 53
2 MATH COMPUTAT PHYS 39953 1% 15% 8
3 ARTSAKH STATE UNIV 34347 0% 100% 1
4 DEP FIS TEOR ATOM OPT 34347 0% 100% 1
5 DIPTO MATEMAT PLICAZ 34347 0% 100% 1
6 IMCCE CNRS UMR 34347 0% 100% 1
7 INT ADV SUTIDES 34347 0% 100% 1
8 MATEMAT CUCEI 34347 0% 100% 1
9 SEZ TORINO INIZ SPEC NA12 34347 0% 100% 1
10 UNIDAD PROFES INTERDISCIPLINARIA INGN TECNOL AVA 34347 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 96496 7% 5% 58
2 JOURNAL OF MATHEMATICAL PHYSICS 61686 19% 1% 169
3 REGULAR & CHAOTIC DYNAMICS 29219 3% 4% 24
4 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 28999 10% 1% 85
5 PHYSICS OF ATOMIC NUCLEI 19855 7% 1% 58
6 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 13519 9% 1% 79
7 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 8217 2% 2% 16
8 THEORETICAL AND MATHEMATICAL PHYSICS 7409 4% 1% 33
9 JOURNAL OF GEOMETRY AND PHYSICS 5898 2% 1% 21
10 REPORTS ON MATHEMATICAL PHYSICS 5545 1% 1% 13

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SUPERINTEGRABILITY 916485 4% 68% 39 Search SUPERINTEGRABILITY Search SUPERINTEGRABILITY
2 SUPERINTEGRABLE SYSTEMS 495954 2% 76% 19 Search SUPERINTEGRABLE+SYSTEMS Search SUPERINTEGRABLE+SYSTEMS
3 STACKEL SYSTEMS 244240 1% 89% 8 Search STACKEL+SYSTEMS Search STACKEL+SYSTEMS
4 SEPARATION OF VARIABLES 159787 4% 14% 33 Search SEPARATION+OF+VARIABLES Search SEPARATION+OF+VARIABLES
5 QUADRATIC ALGEBRAS 141296 1% 34% 12 Search QUADRATIC+ALGEBRAS Search QUADRATIC+ALGEBRAS
6 CONFORMAL SUPERINTEGRABILITY 137386 0% 100% 4 Search CONFORMAL+SUPERINTEGRABILITY Search CONFORMAL+SUPERINTEGRABILITY
7 QUASI BI HAMILTONIAN SYSTEMS 137386 0% 100% 4 Search QUASI+BI+HAMILTONIAN+SYSTEMS Search QUASI+BI+HAMILTONIAN+SYSTEMS
8 BI HAMILTONIAN MANIFOLDS 120206 1% 50% 7 Search BI+HAMILTONIAN+MANIFOLDS Search BI+HAMILTONIAN+MANIFOLDS
9 DYNAMICAL ALGEBRAS 109907 0% 80% 4 Search DYNAMICAL+ALGEBRAS Search DYNAMICAL+ALGEBRAS
10 COUPLING CONSTANT METAMORPHOSIS 103040 0% 100% 3 Search COUPLING+CONSTANT+METAMORPHOSIS Search COUPLING+CONSTANT+METAMORPHOSIS

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.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 MILLER, W , POST, S , WINTERNITZ, P , (2013) CLASSICAL AND QUANTUM SUPERINTEGRABILITY WITH APPLICATIONS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 46. ISSUE 42. P. - 101 81% 49
2 RANADA, MF , (2013) HIGHER ORDER SUPERINTEGRABILITY OF SEPARABLE POTENTIALS WITH A NEW APPROACH TO THE POST-WINTERNITZ SYSTEM.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 46. ISSUE 12. P. - 47 92% 7
3 RANADA, MF , (2015) SUPERINTEGRABLE DEFORMATIONS OF SUPERINTEGRABLE SYSTEMS: QUADRATIC SUPERINTEGRABILITY AND HIGHER-ORDER SUPERINTEGRABILITY.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 4. P. - 45 88% 1
4 POST, S , WINTERNITZ, P , (2015) GENERAL NTH ORDER INTEGRALS OF MOTION IN THE EUCLIDEAN PLANE.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 48. ISSUE 40. P. - 40 95% 2
5 CARINENA, JF , RANADA, MF , SANTANDER, M , (2011) THE QUANTUM FREE PARTICLE ON SPHERICAL AND HYPERBOLIC SPACES: A CURVATURE DEPENDENT APPROACH.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 52. ISSUE 7. P. - 47 78% 10
6 BALLESTEROS, A , HERRANZ, FJ , KURU, S , NEGRO, J , (2016) THE ANISOTROPIC OSCILLATOR ON CURVED SPACES: A NEW EXACTLY SOLVABLE MODEL.ANNALS OF PHYSICS. VOL. 373. ISSUE . P. 399 -423 34 92% 1
7 KALNINS, EG , MILLER, W , POST, S , (2008) MODELS FOR QUADRATIC ALGEBRAS ASSOCIATED WITH SECOND ORDER SUPERINTEGRABLE SYSTEMS IN 2D.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 4. ISSUE . P. - 38 95% 19
8 BORISOV, AV , MAMAEV, IS , BIZYAEV, IA , (2016) THE SPATIAL PROBLEM OF 2 BODIES ON A SPHERE. REDUCTION AND STOCHASTICITY.REGULAR & CHAOTIC DYNAMICS. VOL. 21. ISSUE 5. P. 556 -580 38 72% 1
9 CHEN, YX , KALNINS, EG , LI, QS , MILLER, W , (2015) EXAMPLES OF COMPLETE SOLVABILITY OF 2D CLASSICAL SUPERINTEGRABLE SYSTEMS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 11. ISSUE . P. - 29 97% 1
10 LEVESQUE, D , POST, S , WINTERNITZ, P , (2012) INFINITE FAMILIES OF SUPERINTEGRABLE SYSTEMS SEPARABLE IN SUBGROUP COORDINATES.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 46. P. - 30 94% 7

Classes with closest relation at Level 1


Rank Class id link
1 16115 KEPLER PROBLEM//GENERAL MECHANICS//PERTURBED KEPLER PROBLEM
2 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
3 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
4 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS
5 18427 POSITION DEPENDENT MASS//POINT CANONICAL TRANSFORMATION//EFFECTIVE MASS SCHRODINGER EQUATION
6 14039 KILLING YANO TENSORS//LANCZOS POTENTIAL//KILLING TENSORS
7 21593 OFF SHELL SUPERMULTIPLETS//STRING PARTICLE THEORY//SUPERFIELD
8 8881 EXCEPTIONAL ORTHOGONAL POLYNOMIALS//SUPERSYMMETRIC QUANTUM MECHANICS//SPL2 1 SUPERALGEBRA
9 4300 INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA
10 2427 NIKIFOROV UVAROV METHOD//DIRAC EQUATION//PSEUDOSPIN SYMMETRY

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