Class information for:
Level 1: DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16080 674 18.8 41%


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
16080 1                   DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP 674

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 DIFFERENTIAL GALOIS THEORY authKW 895077 5% 56% 35
2 NON INTEGRABILITY authKW 786318 4% 64% 27
3 DIFFERENTIAL GALOIS GROUP authKW 563936 3% 66% 19
4 MORALES RAMIS THEORY authKW 546875 2% 93% 13
5 NON INTEGRABILITY CRITERIA authKW 317124 1% 100% 7
6 HOMOGENEOUS POTENTIALS authKW 183469 1% 45% 9
7 HIGHER ORDER VARIATIONAL EQUATIONS authKW 181214 1% 100% 4
8 PROJET CAFE address 161795 1% 71% 5
9 INTEGRABILITY authKW 115593 7% 5% 50
10 MONODROMY GROUP authKW 105400 2% 21% 11

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 8221 31% 0% 209
2 Mathematics, Applied 3986 31% 0% 209
3 Physics, Multidisciplinary 2655 30% 0% 199
4 Mathematics 1472 21% 0% 143
5 Mathematics, Interdisciplinary Applications 316 5% 0% 36
6 Education, Scientific Disciplines 242 3% 0% 21
7 Computer Science, Theory & Methods 236 6% 0% 39
8 Astronomy & Astrophysics 150 8% 0% 51
9 Mechanics 91 5% 0% 34
10 Computer Science, Software Engineering 6 1% 0% 8

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 PROJET CAFE 161795 1% 71% 5
2 CNRSURA 742 90607 0% 100% 2
3 TORUN ASTRON 77294 4% 6% 27
4 J KEPLER ASTRON 76536 1% 24% 7
5 ALGORIHM CALCUL FORMEL OPTIMISAT 45303 0% 100% 1
6 ANAL GEOMETRIE PLICATCNRSUMR 7539 45303 0% 100% 1
7 CNRS ANAL GEOMETRIE LICAT 45303 0% 100% 1
8 DPT MATEMAT LICADA INGN 45303 0% 100% 1
9 DPTO METODOS MATEMAT FIS 45303 0% 100% 1
10 EDVO 45303 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 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 20981 4% 2% 29
2 REGULAR & CHAOTIC DYNAMICS 15049 2% 2% 15
3 JOURNAL OF SYMBOLIC COMPUTATION 13548 4% 1% 26
4 JOURNAL OF MATHEMATICAL PHYSICS 7642 8% 0% 52
5 PHYSICS LETTERS A 6201 10% 0% 67
6 PHYSICA D-NONLINEAR PHENOMENA 5562 4% 0% 28
7 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 3471 5% 0% 35
8 JOURNAL OF DIFFERENTIAL EQUATIONS 3014 3% 0% 22
9 PROGRAMMING AND COMPUTER SOFTWARE 2687 1% 1% 7
10 AMERICAN JOURNAL OF PHYSICS 2332 3% 0% 19

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 DIFFERENTIAL GALOIS THEORY 895077 5% 56% 35 Search DIFFERENTIAL+GALOIS+THEORY Search DIFFERENTIAL+GALOIS+THEORY
2 NON INTEGRABILITY 786318 4% 64% 27 Search NON+INTEGRABILITY Search NON+INTEGRABILITY
3 DIFFERENTIAL GALOIS GROUP 563936 3% 66% 19 Search DIFFERENTIAL+GALOIS+GROUP Search DIFFERENTIAL+GALOIS+GROUP
4 MORALES RAMIS THEORY 546875 2% 93% 13 Search MORALES+RAMIS+THEORY Search MORALES+RAMIS+THEORY
5 NON INTEGRABILITY CRITERIA 317124 1% 100% 7 Search NON+INTEGRABILITY+CRITERIA Search NON+INTEGRABILITY+CRITERIA
6 HOMOGENEOUS POTENTIALS 183469 1% 45% 9 Search HOMOGENEOUS+POTENTIALS Search HOMOGENEOUS+POTENTIALS
7 HIGHER ORDER VARIATIONAL EQUATIONS 181214 1% 100% 4 Search HIGHER+ORDER+VARIATIONAL+EQUATIONS Search HIGHER+ORDER+VARIATIONAL+EQUATIONS
8 INTEGRABILITY 115593 7% 5% 50 Search INTEGRABILITY Search INTEGRABILITY
9 MONODROMY GROUP 105400 2% 21% 11 Search MONODROMY+GROUP Search MONODROMY+GROUP
10 LIOUVILLIAN SOLUTIONS 103547 1% 57% 4 Search LIOUVILLIAN+SOLUTIONS Search LIOUVILLIAN+SOLUTIONS

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 MACIEJEWSKI, AJ , PRZYBYLSKA, M , (2009) DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 6. ISSUE 8. P. 1357-1390 26 100% 4
2 MACIEJEWSKI, AJ , PRZYBYLSKA, M , (2005) DARBOUX POINTS AND INTEGRABILITY OF HAMILTONIAN SYSTEMS WITH HOMOGENEOUS POLYNOMIAL POTENTIAL.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 46. ISSUE 6. P. - 27 96% 28
3 LI, WL , SHI, SY , (2014) WEAK-PAINLEVE PROPERTY AND INTEGRABILITY OF GENERAL DYNAMICAL SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 34. ISSUE 9. P. 3667 -3681 24 86% 0
4 MORALES-RUIZ, JJ , (2015) PICARD-VESSIOT THEORY AND INTEGRABILITY.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 87. ISSUE . P. 314 -343 28 68% 1
5 APARICIO-MONFORTE, A , DREYFUS, T , WEIL, JA , (2016) LIOUVILLE INTEGRABILITY: AN EFFECTIVE MORALES-RAMIS-SIMO THEOREM.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 74. ISSUE . P. 537 -560 19 86% 1
6 MORALES-RUIZ, JJ , RAMIS, JP , SIMO, C , (2007) INTEGRABILITY OF HAMILTONIAN SYSTEMS AND DIFFERENTIAL GALOIS GROUPS OF HIGHER VARIATIONAL EQUATIONS.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 40. ISSUE 6. P. 845-884 25 68% 51
7 SHI, SY , LI, WL , (2013) NON-INTEGRABILITY OF GENERALIZED YANG-MILLS HAMILTONIAN SYSTEM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 33. ISSUE 4. P. 1645 -1655 15 94% 2
8 BARDIN, BS , MACIEJEWSKI, AJ , PRZYBYLSKA, M , (2005) INTEGRABILITY OF GENERALIZED JACOBI PROBLEM.REGULAR & CHAOTIC DYNAMICS. VOL. 10. ISSUE 4. P. 437 -461 18 95% 5
9 OLIVEIRA, R , VALLS, C , (2016) POLYNOMIAL INTEGRABILITY OF HAMILTONIAN SYSTEMS WITH HOMOGENEOUS POTENTIALS OF DEGREE -K.PHYSICS LETTERS A. VOL. 380. ISSUE 46. P. 3876 -3880 13 100% 0
10 COMBOT, T , WATERS, T , (2015) INTEGRABILITY CONDITIONS OF GEODESIC FLOW ON HOMOGENEOUS MONGE MANIFOLDS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 111 -127 15 88% 0

Classes with closest relation at Level 1


Rank Class id link
1 34270 SZEBEHELYS EQUATION//INVERSE PROBLEM OF DYNAMICS//MONOPARAMETRIC FAMILIES OF ORBITS
2 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
3 20486 COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS
4 32867 INTEGRATION IN FINITE TERMS//THEORY OF EQUATIONS//ANTIDERIVATIVE EXTENSIONS
5 34768 ERGODIC INVARIANTS//ERGODIC PARAMETERS//GRADIENT HAMILTONIAN DECOMPOSITION
6 12667 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS
7 28344 SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS//INTEGRABLE DYNAMICAL SYSTEMS
8 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
9 9284 PAINLEVE EQUATIONS//ISOMONODROMIC DEFORMATIONS//PAINLEVE HIERARCHY
10 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE

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