Class information for:
Level 1: SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS//INTEGRABLE DYNAMICAL SYSTEMS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
28344 209 14.9 47%



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
28344 1                   SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS//INTEGRABLE DYNAMICAL SYSTEMS 209

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 SOLVABLE DYNAMICAL SYSTEMS authKW 1168819 4% 100% 8
2 ISOCHRONOUS DYNAMICAL SYSTEMS authKW 876615 3% 100% 6
3 INTEGRABLE DYNAMICAL SYSTEMS authKW 850046 4% 73% 8
4 ISOCHRONOUS SYSTEMS authKW 845300 4% 64% 9
5 INTEGRABLE NEWTONIAN MANY BODY PROBLEMS authKW 730512 2% 100% 5
6 SEZ ROMA address 642919 53% 4% 111
7 SOLVABLE MANY BODY PROBLEMS authKW 584410 2% 100% 4
8 SOLVABLE NEWTONIAN MANY BODY PROBLEMS authKW 584410 2% 100% 4
9 DIOPHANTINE RELATIONS authKW 438307 1% 100% 3
10 DISCRETE TIME DYNAMICAL SYSTEMS OF GOLDFISH TYPE authKW 292205 1% 100% 2

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 11011 64% 0% 133
2 Physics, Multidisciplinary 1246 36% 0% 75
3 Mathematics, Applied 1014 28% 0% 59
4 Mathematics 103 11% 0% 23
5 Physics, Particles & Fields 4 2% 0% 5
6 Multidisciplinary Sciences 3 1% 0% 2
7 Physics, Nuclear 1 1% 0% 3
8 Education, Scientific Disciplines 1 0% 0% 1
9 Computer Science, Interdisciplinary Applications 0 1% 0% 2
10 Mathematics, Interdisciplinary Applications -0 0% 0% 1

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 SEZ ROMA 642919 53% 4% 111
2 GSIB 259733 2% 44% 4
3 DOTTORATO MATEMAT 146102 0% 100% 1
4 ESCUELA CIENC FISICOMATEMAT 146102 0% 100% 1
5 EQUIPE GEOMETRIE DIFFERENTIELLE SYST DYNAM PL 73050 0% 50% 1
6 IST NAZL FIS NAZL 48699 0% 33% 1
7 ESCUELA CIENCIAS FISICOMATEMAT 41086 1% 9% 3
8 SEZIONE ROMA 40129 2% 5% 5
9 FUNDAMENTAL PL MATH 29219 0% 20% 1
10 DIPARTIMENTO FIS 29009 43% 0% 89

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 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 177556 17% 3% 36
2 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 7531 10% 0% 21
3 JOURNAL OF MATHEMATICAL PHYSICS 7186 13% 0% 28
4 LETTERE AL NUOVO CIMENTO 6575 4% 1% 9
5 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 3044 2% 0% 5
6 BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 2441 1% 1% 2
7 THEORETICAL AND MATHEMATICAL PHYSICS 2347 4% 0% 9
8 NONLINEAR OSCILLATIONS 1697 0% 1% 1
9 LETTERS IN MATHEMATICAL PHYSICS 1645 3% 0% 6
10 NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS 1488 2% 0% 4

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 SOLVABLE DYNAMICAL SYSTEMS 1168819 4% 100% 8 Search SOLVABLE+DYNAMICAL+SYSTEMS Search SOLVABLE+DYNAMICAL+SYSTEMS
2 ISOCHRONOUS DYNAMICAL SYSTEMS 876615 3% 100% 6 Search ISOCHRONOUS+DYNAMICAL+SYSTEMS Search ISOCHRONOUS+DYNAMICAL+SYSTEMS
3 INTEGRABLE DYNAMICAL SYSTEMS 850046 4% 73% 8 Search INTEGRABLE+DYNAMICAL+SYSTEMS Search INTEGRABLE+DYNAMICAL+SYSTEMS
4 ISOCHRONOUS SYSTEMS 845300 4% 64% 9 Search ISOCHRONOUS+SYSTEMS Search ISOCHRONOUS+SYSTEMS
5 INTEGRABLE NEWTONIAN MANY BODY PROBLEMS 730512 2% 100% 5 Search INTEGRABLE+NEWTONIAN+MANY+BODY+PROBLEMS Search INTEGRABLE+NEWTONIAN+MANY+BODY+PROBLEMS
6 SOLVABLE MANY BODY PROBLEMS 584410 2% 100% 4 Search SOLVABLE+MANY+BODY+PROBLEMS Search SOLVABLE+MANY+BODY+PROBLEMS
7 SOLVABLE NEWTONIAN MANY BODY PROBLEMS 584410 2% 100% 4 Search SOLVABLE+NEWTONIAN+MANY+BODY+PROBLEMS Search SOLVABLE+NEWTONIAN+MANY+BODY+PROBLEMS
8 DIOPHANTINE RELATIONS 438307 1% 100% 3 Search DIOPHANTINE+RELATIONS Search DIOPHANTINE+RELATIONS
9 DISCRETE TIME DYNAMICAL SYSTEMS OF GOLDFISH TYPE 292205 1% 100% 2 Search DISCRETE+TIME+DYNAMICAL+SYSTEMS+OF+GOLDFISH+TYPE Search DISCRETE+TIME+DYNAMICAL+SYSTEMS+OF+GOLDFISH+TYPE
10 GENERATIONS OF MONIC POLYNOMIALS 292205 1% 100% 2 Search GENERATIONS+OF+MONIC+POLYNOMIALS Search GENERATIONS+OF+MONIC+POLYNOMIALS

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 CALOGERO, F , (2007) ISOCHRONOUS SYSTEMS AND THEIR QUANTIZATION.THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 152. ISSUE 1. P. 882 -893 32 91% 0
2 CALOGERO, F , LEYVRAZ, F , (2006) ISOCHRONOUS AND PARTIALLY ISOCHRONOUS HAMILTONIAN SYSTEMS ARE NOT RARE.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 47. ISSUE 4. P. - 20 91% 11
3 CALOGERO, F , (2016) THREE NEW CLASSES OF SOLVABLE N-BODY PROBLEMS OF GOLDFISH TYPE WITH MANY ARBITRARY COUPLING CONSTANTS.SYMMETRY-BASEL. VOL. 8. ISSUE 7. P. - 16 84% 0
4 BIHUN, O , CALOGERO, F , (2013) EQUILIBRIA OF A SOLVABLE N-BODY PROBLEM AND RELATED PROPERTIES OF THE N NUMBERS X(N) AT WHICH THE JACOBI POLYNOMIAL OF ORDER N HAS THE SAME VALUE.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 20. ISSUE 4. P. 539 -551 14 100% 0
5 CALOGERO, F , (2016) A SOLVABLE N-BODY PROBLEM OF GOLDFISH TYPE FEATURING N-2 ARBITRARY COUPLING CONSTANTS.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 23. ISSUE 2. P. 300 -305 14 93% 0
6 CALOGERO, F , (2016) NOVEL ISOCHRONOUS N-BODY PROBLEMS FEATURING N ARBITRARY RATIONAL COUPLING CONSTANTS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 7. P. - 13 87% 2
7 CALOGERO, F , (2015) FINITE-DIMENSIONAL REPRESENTATIONS OF DIFFERENCE OPERATORS AND THE IDENTIFICATION OF REMARKABLE MATRICES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 3. P. - 15 83% 2
8 BIHUN, O , CALOGERO, F , (2014) PROPERTIES OF THE ZEROS OF THE POLYNOMIALS BELONGING TO THE ASKEY SCHEME.LETTERS IN MATHEMATICAL PHYSICS. VOL. 104. ISSUE 12. P. 1571 -1588 13 100% 1
9 CALOGERO, F , (2016) NEW SOLVABLE DYNAMICAL SYSTEMS.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 23. ISSUE 4. P. 486 -493 13 93% 0
10 CALOGERO, F , YI, G , (2012) A NEW CLASS OF SOLVABLE MANY-BODY PROBLEMS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 8. ISSUE . P. - 14 93% 2

Classes with closest relation at Level 1



Rank Class id link
1 7969 CALOGERO SUTHERLAND MODEL//CALOGERO MOSER SYSTEM//HALDANE SHASTRY SPIN CHAIN
2 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
3 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
4 34747 ASYMPTOTIC ANALYSIS ON THE LATTICE//ASYMPTOTICALLY EXACT REDUCTION METHOD//BIATOMIC LATTICES
5 20486 COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS
6 28552 WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION
7 34041 ASYMPTOTIC SUCCESSIVE CORRECTION METHODS//GEODYNAM EXPLOS//MODULATED EQUATION
8 8881 EXCEPTIONAL ORTHOGONAL POLYNOMIALS//SUPERSYMMETRIC QUANTUM MECHANICS//SPL2 1 SUPERALGEBRA
9 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
10 4300 INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA

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