Class information for:
Level 2: LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2480 3950 21.5 37%


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
2480 2             LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES 3950
8861 1                   LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES 1210
9465 1                   VARIATIONAL SEQUENCE//HELMHOLTZ CONDITIONS//POINCARE CARTAN FORM 1153
11264 1                   NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT 995
26778 1                   NATURAL OPERATOR//WEIL BUNDLE//BUNDLE FUNCTOR 246
26923 1                   METHODS MATH MODELS PL SCI//GEOMETRY OF PARTIAL DIFFERENTIAL EQUATIONS//BORDISMS GROUPS IN PDES 242
34936 1                   HYPERANGULAR MOMENTA//KINETIC ENERGY PARTITIONS//RECONSTRUCTION PHASES 104

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 ALGEBROIDS authKW 1061727 4% 82% 167
2 JOURNAL OF GEOMETRIC MECHANICS journal 320853 2% 51% 81
3 DIRAC STRUCTURES authKW 320241 1% 70% 59
4 COURANT ALGEBROID authKW 302130 1% 95% 41
5 NONHOLONOMIC MECHANICS authKW 291892 1% 79% 48
6 NATURAL OPERATOR authKW 255536 1% 85% 39
7 LIE GROUPOIDS authKW 254420 1% 65% 51
8 MATEMAT FUNDAMENTAL address 163372 1% 41% 51
9 VARIATIONAL SEQUENCE authKW 162300 1% 100% 21
10 WEIL BUNDLE authKW 162300 1% 100% 21

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 70650 37% 1% 1477
2 Mathematics 24598 35% 0% 1368
3 Mathematics, Applied 16408 26% 0% 1036
4 Physics, Multidisciplinary 2695 13% 0% 530
5 Mechanics 2075 9% 0% 350
6 Robotics 721 1% 0% 52
7 Physics, Particles & Fields 512 5% 0% 185
8 Automation & Control Systems 161 2% 0% 68
9 Education, Scientific Disciplines 140 1% 0% 45
10 Physics, Nuclear 33 2% 0% 67

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 MATEMAT FUNDAMENTAL 163372 1% 41% 51
2 MATH PHYS ASTRON 146966 1% 35% 55
3 METHODS MATH MODELS PL SCI 115929 0% 100% 15
4 DYNAM SYST MECH CONTROL 54957 0% 89% 8
5 UNIDAD ASOCIADA ULL CSIC GEOMETRIA DIFERENCIAL 52163 0% 75% 9
6 THEORET GRP 49252 1% 26% 25
7 ULL CSIC GEOMETRIA DIFERENCIAL MECAN GEOMETR 47336 0% 88% 7
8 XEOMETRIA TOPOLOXIA 42930 0% 33% 17
9 ECON LICADA CUANTITAT 41727 0% 60% 9
10 NONLINEAR ANAL DESIGN NEW TYPES VEHICLES 39745 0% 86% 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 GEOMETRIC MECHANICS 320853 2% 51% 81
2 REGULAR & CHAOTIC DYNAMICS 135651 3% 16% 109
3 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 130059 4% 11% 148
4 JOURNAL OF GEOMETRY AND PHYSICS 103387 5% 7% 185
5 REPORTS ON MATHEMATICAL PHYSICS 81585 3% 10% 105
6 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 76895 3% 9% 110
7 LETTERS IN MATHEMATICAL PHYSICS 29778 3% 3% 111
8 JOURNAL OF MATHEMATICAL PHYSICS 25845 6% 1% 232
9 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 15563 2% 3% 64
10 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 14249 4% 1% 172

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 ALGEBROIDS 1061727 4% 82% 167 Search LIE+ALGEBROIDS Search LIE+ALGEBROIDS
2 DIRAC STRUCTURES 320241 1% 70% 59 Search DIRAC+STRUCTURES Search DIRAC+STRUCTURES
3 COURANT ALGEBROID 302130 1% 95% 41 Search COURANT+ALGEBROID Search COURANT+ALGEBROID
4 NONHOLONOMIC MECHANICS 291892 1% 79% 48 Search NONHOLONOMIC+MECHANICS Search NONHOLONOMIC+MECHANICS
5 NATURAL OPERATOR 255536 1% 85% 39 Search NATURAL+OPERATOR Search NATURAL+OPERATOR
6 LIE GROUPOIDS 254420 1% 65% 51 Search LIE+GROUPOIDS Search LIE+GROUPOIDS
7 VARIATIONAL SEQUENCE 162300 1% 100% 21 Search VARIATIONAL+SEQUENCE Search VARIATIONAL+SEQUENCE
8 WEIL BUNDLE 162300 1% 100% 21 Search WEIL+BUNDLE Search WEIL+BUNDLE
9 JET BUNDLE 158957 1% 57% 36 Search JET+BUNDLE Search JET+BUNDLE
10 POISSON MANIFOLDS 154622 1% 49% 41 Search POISSON+MANIFOLDS Search POISSON+MANIFOLDS

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 DE LEON, M , (2012) A HISTORICAL REVIEW ON NONHOLOMIC MECHANICS.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 106. ISSUE 1. P. 191 -224 68 83% 7
2 ROMAN-ROY, N , (2009) MULTISYMPLECTIC LAGRANGIAN AND HAMILTONIAN FORMALISMS OF CLASSICAL FIELD THEORIES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 5. ISSUE . P. - 53 96% 14
3 KARAVAEV, YL , KILIN, AA , (2015) THE DYNAMICS AND CONTROL OF A SPHERICAL ROBOT WITH AN INTERNAL OMNIWHEEL PLATFORM.REGULAR & CHAOTIC DYNAMICS. VOL. 20. ISSUE 2. P. 134 -152 38 95% 8
4 CORTES, J , DE LEON, M , MARRERO, JC , MARTINEZ, E , (2009) NONHOLONOMIC LAGRANGIAN SYSTEMS ON LIE ALGEBROIDS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 24. ISSUE 2. P. 213-271 41 100% 19
5 BORISOV, AV , MAMAEV, IS , BIZYAEV, IA , (2015) THE JACOBI INTEGRAL IN NONHOLONOMIC MECHANICS.REGULAR & CHAOTIC DYNAMICS. VOL. 20. ISSUE 3. P. 383 -400 33 100% 6
6 BORISOV, AV , MAMAEV, IS , TSIGANOV, AV , (2014) NON-HOLONOMIC DYNAMICS AND POISSON GEOMETRY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 69. ISSUE 3. P. 481 -538 41 84% 6
7 CENDRA, H , ETCHECHOURY, M , FERRARO, SJ , (2014) AN EXTENSION OF THE DIRAC AND GOTAY-NESTER THEORIES OF CONSTRAINTS FOR DIRAC DYNAMICAL SYSTEMS.JOURNAL OF GEOMETRIC MECHANICS. VOL. 6. ISSUE 2. P. 167 -236 48 74% 0
8 BORISOV, AV , MAMAEV, IS , (2008) CONSERVATION LAWS, HIERARCHY OF DYNAMICS AND EXPLICIT INTEGRATION OF NONHOLONOMIC SYSTEMS.REGULAR & CHAOTIC DYNAMICS. VOL. 13. ISSUE 5. P. 443 -490 40 93% 39
9 KOSMANN-SCHWARZBACH, Y , (2008) POISSON MANIFOLDS, LIE ALGEBROIDS, MODULAR CLASSES: A SURVEY.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 4. ISSUE . P. - 48 79% 18
10 GRABOWSKI, J , (2014) MODULAR CLASSES REVISITED.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 11. ISSUE 9. P. - 34 100% 0

Classes with closest relation at Level 2


Rank Class id link
1 3900 FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE
2 1529 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
3 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA
4 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
5 2273 CONSERVED QUANTITY//GEOMETRIC PHASE//MEI SYMMETRY
6 3456 SUPERMANIFOLDS//D DIFFERENTIATION//LIE SUPERGROUP
7 4184 TABLE TENNIS ROBOT//SPINNING BALL//AMERICAN JOURNAL OF PHYSICS
8 2787 BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT
9 1226 PHYSICS, PARTICLES & FIELDS//PHYSICS LETTERS B//NUCLEAR PHYSICS B
10 4132 UMBRA LAGRANGIAN//ARC IGNITION//HIGH POWER TRANSFORMER

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