Class information for:
Level 1: UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24086 324 25.4 38%


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
24086 1                   UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP 324

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 UMR 8101 address 626588 8% 27% 25
2 HAMILTONIAN MONODROMY authKW 565466 2% 100% 6
3 ENERGY MOMENTUM MAP authKW 376978 1% 100% 4
4 MONODROMY authKW 211181 7% 9% 24
5 LAGRANGIAN FIBRATIONS authKW 196337 2% 42% 5
6 ENERGY MOMENTUM MAPPING authKW 188489 1% 100% 2
7 FRACTIONAL MONODROMY authKW 188489 1% 100% 2
8 ISOENERGETIC NON DEGENERACY authKW 188489 1% 100% 2
9 LAGRANGIAN BUNDLES authKW 188489 1% 100% 2
10 LAGRANGIAN VARIETIES authKW 188489 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 3600 30% 0% 96
2 Mathematics 3352 44% 0% 143
3 Mathematics, Applied 1122 24% 0% 78
4 Physics, Multidisciplinary 461 19% 0% 60
5 Physics, Atomic, Molecular & Chemical 126 9% 0% 29
6 Mechanics 56 6% 0% 18
7 Mathematics, Interdisciplinary Applications 3 1% 0% 4
8 Chemistry, Physical 3 6% 0% 18
9 Optics 3 3% 0% 9
10 Education, Scientific Disciplines 2 1% 0% 2

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 UMR 8101 626588 8% 27% 25
2 MREI2 188489 1% 100% 2
3 CNRSUA 1407 94244 0% 100% 1
4 DGICYT PB93 0861 94244 0% 100% 1
5 MAISON MAGIST JEAN PERRIN 94244 0% 100% 1
6 ORATOIRE JA DIEUDONNE 94244 0% 100% 1
7 THEORET PHYS POST H 330440 94244 0% 100% 1
8 UMR7 589 94244 0% 100% 1
9 GDR 144 47121 0% 50% 1
10 GETODIM 47121 0% 50% 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 REGULAR & CHAOTIC DYNAMICS 23536 4% 2% 13
2 RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS 7348 1% 2% 4
3 SBORNIK MATHEMATICS 6080 3% 1% 10
4 JOURNAL OF GEOMETRIC MECHANICS 5362 1% 2% 3
5 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 4432 6% 0% 20
6 JOURNAL OF SYMPLECTIC GEOMETRY 3798 1% 1% 3
7 NONLINEARITY 2886 3% 0% 10
8 ANNALES DE L INSTITUT FOURIER 2767 2% 0% 8
9 JOURNAL OF GEOMETRY AND PHYSICS 2349 2% 0% 8
10 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 1932 2% 0% 5

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 HAMILTONIAN MONODROMY 565466 2% 100% 6 Search HAMILTONIAN+MONODROMY Search HAMILTONIAN+MONODROMY
2 ENERGY MOMENTUM MAP 376978 1% 100% 4 Search ENERGY+MOMENTUM+MAP Search ENERGY+MOMENTUM+MAP
3 MONODROMY 211181 7% 9% 24 Search MONODROMY Search MONODROMY
4 LAGRANGIAN FIBRATIONS 196337 2% 42% 5 Search LAGRANGIAN+FIBRATIONS Search LAGRANGIAN+FIBRATIONS
5 ENERGY MOMENTUM MAPPING 188489 1% 100% 2 Search ENERGY+MOMENTUM+MAPPING Search ENERGY+MOMENTUM+MAPPING
6 FRACTIONAL MONODROMY 188489 1% 100% 2 Search FRACTIONAL+MONODROMY Search FRACTIONAL+MONODROMY
7 ISOENERGETIC NON DEGENERACY 188489 1% 100% 2 Search ISOENERGETIC+NON+DEGENERACY Search ISOENERGETIC+NON+DEGENERACY
8 LAGRANGIAN BUNDLES 188489 1% 100% 2 Search LAGRANGIAN+BUNDLES Search LAGRANGIAN+BUNDLES
9 LAGRANGIAN VARIETIES 188489 1% 100% 2 Search LAGRANGIAN+VARIETIES Search LAGRANGIAN+VARIETIES
10 MASLOV INVARIANTS 188489 1% 100% 2 Search MASLOV+INVARIANTS Search MASLOV+INVARIANTS

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 SADOVSKI, DA , (2016) NEKHOROSHEV'S APPROACH TO HAMILTONIAN MONODROMY.REGULAR & CHAOTIC DYNAMICS. VOL. 21. ISSUE 6. P. 720 -758 31 79% 0
2 SADOVSKII, DA , ZHILINSKII, BI , (2006) QUANTUM MONODROMY AND ITS GENERALIZATIONS AND MOLECULAR MANIFESTATIONS.MOLECULAR PHYSICS. VOL. 104. ISSUE 16-17. P. 2595 -2615 32 80% 14
3 EFSTATHIOU, K , SADOVSKII, DA , (2010) NORMALIZATION AND GLOBAL ANALYSIS OF PERTURBATIONS OF THE HYDROGEN ATOM.REVIEWS OF MODERN PHYSICS. VOL. 82. ISSUE 3. P. 2099 -2154 61 34% 17
4 NEKHOROSHEV, NN , SADOVSKII, DA , ZHILINSKII, BI , (2006) FRACTIONAL HAMILTONIAN MONODROMY.ANNALES HENRI POINCARE. VOL. 7. ISSUE 6. P. 1099 -1211 31 72% 30
5 EFSTATHIOU, K , BROER, HW , (2013) UNCOVERING FRACTIONAL MONODROMY.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 324. ISSUE 2. P. 549-588 23 85% 1
6 HANSEN, MS , FAURE, F , ZHILINSKII, BI , (2007) FRACTIONAL MONODROMY IN SYSTEMS WITH COUPLED ANGULAR MOMENTA.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 40. ISSUE 43. P. 13075 -13089 27 82% 6
7 ZHILINSKII, BI , (2008) REARRANGEMENT OF ENERGY BANDS: TOPOLOGICAL ASPECTS.JOURNAL OF MATHEMATICAL CHEMISTRY. VOL. 44. ISSUE 4. P. 1009 -1022 26 81% 2
8 DHONT, G , ZHILINSKII, BI , (2008) CLASSICAL AND QUANTUM FOLD CATASTROPHE IN THE PRESENCE OF AXIAL SYMMETRY.PHYSICAL REVIEW A. VOL. 78. ISSUE 5. P. - 24 83% 2
9 ZHILINSKII, B , (2005) INTERPRETATION OF QUANTUM HAMILTONIAN MONODROMY IN TERMS OF LATTICE DEFECTS.ACTA APPLICANDAE MATHEMATICAE. VOL. 87. ISSUE 1-3. P. 281 -307 22 92% 17
10 DELOS, JB , DHONT, G , SADOVSKII, DA , ZHILINSKII, BI , (2009) DYNAMICAL MANIFESTATIONS OF HAMILTONIAN MONODROMY.ANNALS OF PHYSICS. VOL. 324. ISSUE 9. P. 1953 -1982 22 81% 5

Classes with closest relation at Level 1


Rank Class id link
1 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
2 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
3 34936 HYPERANGULAR MOMENTA//KINETIC ENERGY PARTITIONS//RECONSTRUCTION PHASES
4 10296 CLOSED ORBIT THEORY//PHOTODETACHMENT//RECURRENCE SPECTRA
5 14256 QUANTUM ERGODICITY//DCAIN//EIGENFUNCTION ESTIMATES
6 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS
7 19703 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
8 28113 GREENS RESIDUE//HAMILTONIAN NORMAL FORM//HIGH FREQUENCY VIBRATION OF SUSPENSION POINT
9 35346 C INFINITY TOPOLOGY//ORBIT PRESERVING DIFFEOMORPHISM//2 JET
10 9161 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION

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