Class information for:
Level 1: LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10630 1047 21.9 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
10630 1                   LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE 1047

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 LIE SYSTEM authKW 759279 3% 96% 27
2 GEODYSYC address 385978 1% 88% 15
3 SUPERPOSITION RULE authKW 328077 1% 75% 15
4 POINT TRANSFORMATION authKW 324016 2% 56% 20
5 JACOBI LAST MULTIPLIER authKW 317547 1% 78% 14
6 LAMBDA SYMMETRIES authKW 265117 1% 91% 10
7 DIFFERENTIAL EQUAT CONTINUUM MECH PLICAT address 239599 5% 16% 52
8 VESSIOT GULDBERG LIE ALGEBRA authKW 233305 1% 100% 8
9 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS journal 202178 8% 8% 86
10 CLASSICAL QUANTIZATION authKW 174978 1% 100% 6

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 26242 44% 0% 462
2 Mathematics, Applied 9726 38% 0% 403
3 Physics, Multidisciplinary 1615 19% 0% 201
4 Mathematics 1548 18% 0% 186
5 Mathematics, Interdisciplinary Applications 1095 8% 0% 81
6 Mechanics 526 9% 0% 91
7 Physics, Fluids & Plasmas 289 5% 0% 48
8 Engineering, General 29 2% 0% 19
9 Engineering, Mechanical 27 3% 0% 27
10 Computer Science, Interdisciplinary Applications 26 2% 0% 21

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 GEODYSYC 385978 1% 88% 15
2 DIFFERENTIAL EQUAT CONTINUUM MECH PLICAT 239599 5% 16% 52
3 DST NRF EXCELLENCE MATH STAT SCI 168230 1% 38% 15
4 CHAIR HIGHER ALGEBRA GEOMETRY 87489 0% 100% 3
5 GEOMETRY DYNAM SYST COSMOL 87489 0% 100% 3
6 COMPUTAT PL MATH 75137 6% 4% 61
7 HOWARD 66180 2% 12% 19
8 DICSE 58326 0% 100% 2
9 ALGA 55248 1% 32% 6
10 ALGA ADV LIE GRP ANAL 52485 1% 30% 6

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 202178 8% 8% 86
2 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 13828 4% 1% 42
3 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 12634 6% 1% 61
4 JOURNAL OF MATHEMATICAL PHYSICS 11936 8% 1% 81
5 ACTA APPLICANDAE MATHEMATICAE 7865 2% 1% 24
6 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 7260 6% 0% 63
7 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 5457 1% 1% 15
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4594 6% 0% 58
9 JOURNAL OF LIE THEORY 3848 1% 1% 10
10 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 3539 2% 1% 21

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 LIE SYSTEM 759279 3% 96% 27 Search LIE+SYSTEM Search LIE+SYSTEM
2 SUPERPOSITION RULE 328077 1% 75% 15 Search SUPERPOSITION+RULE Search SUPERPOSITION+RULE
3 POINT TRANSFORMATION 324016 2% 56% 20 Search POINT+TRANSFORMATION Search POINT+TRANSFORMATION
4 JACOBI LAST MULTIPLIER 317547 1% 78% 14 Search JACOBI+LAST+MULTIPLIER Search JACOBI+LAST+MULTIPLIER
5 LAMBDA SYMMETRIES 265117 1% 91% 10 Search LAMBDA+SYMMETRIES Search LAMBDA+SYMMETRIES
6 VESSIOT GULDBERG LIE ALGEBRA 233305 1% 100% 8 Search VESSIOT+GULDBERG+LIE+ALGEBRA Search VESSIOT+GULDBERG+LIE+ALGEBRA
7 CLASSICAL QUANTIZATION 174978 1% 100% 6 Search CLASSICAL+QUANTIZATION Search CLASSICAL+QUANTIZATION
8 LIE SYMMETRIES 161369 3% 17% 32 Search LIE+SYMMETRIES Search LIE+SYMMETRIES
9 GENERALIZED SUNDMAN TRANSFORMATION 149980 1% 86% 6 Search GENERALIZED+SUNDMAN+TRANSFORMATION Search GENERALIZED+SUNDMAN+TRANSFORMATION
10 FIRST INTEGRAL 146664 4% 13% 38 Search FIRST+INTEGRAL Search FIRST+INTEGRAL

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 MURIEL, C , ROMERO, JL , (2014) THE LAMBDA-SYMMETRY REDUCTION METHOD AND JACOBI LAST MULTIPLIERS.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 19. ISSUE 4. P. 807 -820 35 100% 2
2 MAHOMED, FM , (2007) SYMMETRY GROUP CLASSIFICATION OF ORDINARY DIFFERENTIAL EQUATIONS: SURVEY OF SOME RESULTS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 30. ISSUE 16. P. 1995 -2012 43 86% 36
3 MURIEL, C , ROMERO, JL , (2012) NONLOCAL SYMMETRIES, TELESCOPIC VECTOR FIELDS AND LAMBDA-SYMMETRIES OF ORDINARY DIFFERENTIAL EQUATIONS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 8. ISSUE . P. - 33 97% 11
4 CARINENA, JF , DE LUCAS, J , (2011) LIE SYSTEMS: THEORY, GENERALISATIONS, AND APPLICATIONS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 479. P. 6 -+ 64 50% 19
5 SENTHILVELAN, M , CHANDRASEKAR, VK , MOHANASUBHA, R , (2015) SYMMETRIES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS: THE MODIFIED EMDEN EQUATION AS A CASE STUDY.PRAMANA-JOURNAL OF PHYSICS. VOL. 85. ISSUE 5. P. 755 -787 37 84% 0
6 LEACH, PGL , ANDRIOPOULOS, K , (2007) NONLOCAL SYMMETRIES PAST, PRESENT AND FUTURE.APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS. VOL. 1. ISSUE 1. P. 150 -171 38 97% 2
7 GAETA, G , (2014) SIMPLE AND COLLECTIVE TWISTED SYMMETRIES.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 21. ISSUE 4. P. 593 -627 35 80% 3
8 BRUZON, MS , GANDARIAS, ML , SENTHILVELAN, M , (2012) NONLOCAL SYMMETRIES OF RICCATI AND ABEL CHAINS AND THEIR SIMILARITY REDUCTIONS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 53. ISSUE 2. P. - 27 96% 1
9 CARINENA, JF , GUHA, P , DE LUCAS, J , (2013) A QUASI-LIE SCHEMES APPROACH TO SECOND-ORDER GAMBIER EQUATIONS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 9. ISSUE . P. - 31 79% 4
10 GAETA, G , (2009) TWISTED SYMMETRIES OF DIFFERENTIAL EQUATIONS.JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. VOL. 16. ISSUE . P. 107-136 30 86% 15

Classes with closest relation at Level 1


Rank Class id link
1 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
2 3538 NONLINEAR SELF ADJOINTNESS//CONSERVATION LAWS//EQUIVALENCE TRANSFORMATIONS
3 28344 SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS//INTEGRABLE DYNAMICAL SYSTEMS
4 6698 INVARIANT OPERATOR//TIME DEPENDENT HARMONIC OSCILLATOR//TIME DEPENDENT OSCILLATOR
5 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
6 23947 GRONWALL CONJECTURE//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA
7 20486 COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS
8 9465 VARIATIONAL SEQUENCE//HELMHOLTZ CONDITIONS//POINCARE CARTAN FORM
9 31697 CONSTANT OF MOTION//CONSTANTS OF MOTION//B SUPERSYMMETRIZATION
10 10651 CONSERVED QUANTITY//MEI SYMMETRY//MATH MECH MATH PHYS

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