Class information for:
Level 1: VARIATIONAL SEQUENCE//HELMHOLTZ CONDITIONS//POINCARE CARTAN FORM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9465 1153 20.8 33%


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
9465 1                   VARIATIONAL SEQUENCE//HELMHOLTZ CONDITIONS//POINCARE CARTAN FORM 1153

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 VARIATIONAL SEQUENCE authKW 556118 2% 100% 21
2 HELMHOLTZ CONDITIONS authKW 423709 1% 100% 16
3 POINCARE CARTAN FORM authKW 283725 1% 71% 15
4 JET BUNDLE authKW 242090 2% 38% 24
5 GAUGE NATURAL BUNDLES authKW 213614 1% 73% 11
6 FIBERED MANIFOLD authKW 188313 1% 89% 8
7 MULTISYMPLECTIC GEOMETRY authKW 173325 1% 55% 12
8 FINSLER METRIZABILITY authKW 158891 1% 100% 6
9 K SYMPLECTIC MANIFOLDS authKW 158891 1% 100% 6
10 MULTISYMPLECTIC MANIFOLDS authKW 158891 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 31044 46% 0% 527
2 Physics, Multidisciplinary 3168 25% 0% 288
3 Mathematics 2922 23% 0% 262
4 Mathematics, Applied 1863 17% 0% 195
5 Physics, Particles & Fields 931 10% 0% 117
6 Astronomy & Astrophysics 133 6% 0% 68
7 Physics, Nuclear 26 2% 0% 26
8 Mechanics 4 2% 0% 20
9 Automation & Control Systems 0 0% 0% 5
10 Robotics 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 XEOMETRIA TOPOLOXIA 130350 1% 31% 16
2 ANALYT MECH FIELD THEORY 105927 0% 100% 4
3 MATH PHYS ASTRON 104053 2% 16% 25
4 INIZIAT SPECIF NA12 79445 0% 100% 3
5 IST FIS MATEMAT J LOUIS LAGRANGE 52964 0% 100% 2
6 AUSTRALIAN MATH SCI 47665 0% 60% 3
7 PL MATH G SANSONE 47665 0% 60% 3
8 ICMATCSICUAMUC3MUCM 35308 0% 67% 2
9 MATEMAT ECON FINANCIERA ACTUARIAL 35308 0% 67% 2
10 PHYS MATH TECHNOL 35308 0% 67% 2

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 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 120726 7% 6% 77
2 JOURNAL OF GEOMETRIC MECHANICS 73878 2% 13% 21
3 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 42181 4% 4% 44
4 JOURNAL OF MATHEMATICAL PHYSICS 32539 12% 1% 140
5 HADRONIC JOURNAL 28956 2% 5% 22
6 REPORTS ON MATHEMATICAL PHYSICS 24363 3% 3% 31
7 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 23901 1% 6% 15
8 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 15381 8% 1% 96
9 JOURNAL OF GEOMETRY AND PHYSICS 13388 3% 1% 36
10 LETTERS IN MATHEMATICAL PHYSICS 10739 3% 1% 36

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 VARIATIONAL SEQUENCE 556118 2% 100% 21 Search VARIATIONAL+SEQUENCE Search VARIATIONAL+SEQUENCE
2 HELMHOLTZ CONDITIONS 423709 1% 100% 16 Search HELMHOLTZ+CONDITIONS Search HELMHOLTZ+CONDITIONS
3 POINCARE CARTAN FORM 283725 1% 71% 15 Search POINCARE+CARTAN+FORM Search POINCARE+CARTAN+FORM
4 JET BUNDLE 242090 2% 38% 24 Search JET+BUNDLE Search JET+BUNDLE
5 GAUGE NATURAL BUNDLES 213614 1% 73% 11 Search GAUGE+NATURAL+BUNDLES Search GAUGE+NATURAL+BUNDLES
6 FIBERED MANIFOLD 188313 1% 89% 8 Search FIBERED+MANIFOLD Search FIBERED+MANIFOLD
7 MULTISYMPLECTIC GEOMETRY 173325 1% 55% 12 Search MULTISYMPLECTIC+GEOMETRY Search MULTISYMPLECTIC+GEOMETRY
8 FINSLER METRIZABILITY 158891 1% 100% 6 Search FINSLER+METRIZABILITY Search FINSLER+METRIZABILITY
9 K SYMPLECTIC MANIFOLDS 158891 1% 100% 6 Search K+SYMPLECTIC+MANIFOLDS Search K+SYMPLECTIC+MANIFOLDS
10 MULTISYMPLECTIC MANIFOLDS 158891 1% 100% 6 Search MULTISYMPLECTIC+MANIFOLDS Search MULTISYMPLECTIC+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 ROMAN-ROY, N , (2009) MULTISYMPLECTIC LAGRANGIAN AND HAMILTONIAN FORMALISMS OF CLASSICAL FIELD THEORIES.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 5. ISSUE . P. - 47 85% 14
2 MORANDI, G , FERRARIO, C , LOVECCHIO, G , MARMO, G , RUBANO, C , (1990) THE INVERSE PROBLEM IN THE CALCULUS OF VARIATIONS AND THE GEOMETRY OF THE TANGENT BUNDLE.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 188. ISSUE 3-4. P. 147-284 75 82% 93
3 PALESE, M , ROSSI, O , WINTERROTH, E , MUSILOVA, J , (2016) VARIATIONAL SEQUENCES, REPRESENTATION SEQUENCES AND APPLICATIONS IN PHYSICS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 12. ISSUE . P. - 29 94% 0
4 BUA, L , BUCATARU, I , SALGADO, M , (2012) SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN K-SYMPLECTIC FORMALISM.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 24. ISSUE 10. P. - 23 100% 2
5 GRACIA, X , MARTIN, R , ROMAN-ROY, N , (2009) CONSTRAINT ALGORITHM FOR K-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 6. ISSUE 5. P. 851 -872 26 90% 3
6 PRIETO-MARTINEZ, PD , ROMAN-ROY, N , (2015) A NEW MULTISYMPLECTIC UNIFIED FORMALISM FOR SECOND ORDER CLASSICAL FIELD THEORIES.JOURNAL OF GEOMETRIC MECHANICS. VOL. 7. ISSUE 2. P. 203 -253 25 78% 1
7 SARDANASHVILY, G , (2013) GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 10. ISSUE 10. P. - 23 88% 1
8 BUCATARU, I , (2013) A SETTING FOR HIGHER ORDER DIFFERENTIAL EQUATION FIELDS AND HIGHER ORDER LAGRANGE AND FINSLER SPACES.JOURNAL OF GEOMETRIC MECHANICS. VOL. 5. ISSUE 3. P. 257-279 22 92% 2
9 MUNOZ-LECANDA, MC , SALGADO, M , VILARINO, S , (2010) K-SYMPLECTIC AND K-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 7. ISSUE 4. P. 669 -692 22 96% 2
10 ROMAN-ROY, N , REY, AM , SALGADO, M , VILARINO, S , (2011) ON THE K-SYMPLECTIC, K-COSYMPLECTIC AND MULTISYMPLECTIC FORMALISMS OF CLASSICAL FIELD THEORIES.JOURNAL OF GEOMETRIC MECHANICS. VOL. 3. ISSUE 1. P. 113 -137 20 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT
2 26778 NATURAL OPERATOR//WEIL BUNDLE//BUNDLE FUNCTOR
3 26923 METHODS MATH MODELS PL SCI//GEOMETRY OF PARTIAL DIFFERENTIAL EQUATIONS//BORDISMS GROUPS IN PDES
4 8861 LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES
5 31697 CONSTANT OF MOTION//CONSTANTS OF MOTION//B SUPERSYMMETRIZATION
6 12549 SECOND CLASS CONSTRAINTS//HAMILTON JACOBI FORMALISM//HAMILTON JACOBI APPROACH
7 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
8 13545 FINSLER METRIC//ALPHA BETA METRIC//FLAG CURVATURE
9 31323 BIOMECHANSAKYO KU//COMPUTAT CELL BIOMECHAN TEAM//CONDITIONS OF POTENTIALITY
10 23075 NONHOLONOMIC MANIFOLDS//FINSLER SPACETIME//FINSLER GRAVITY

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