Class information for:
Level 1: KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9876 1112 17.4 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
1529 2             LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER 7469
9876 1                   KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW 1112

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 KOWALEVSKI TOP authKW 304151 1% 92% 12
2 INTEGRABLE HAMILTONIAN SYSTEMS authKW 285925 2% 39% 27
3 ISOSPECTRAL FLOW authKW 260332 1% 59% 16
4 TODA FLOW authKW 255570 1% 85% 11
5 REGULAR & CHAOTIC DYNAMICS journal 216327 7% 11% 73
6 BI HAMILTONIAN GEOMETRY authKW 146439 1% 67% 8
7 DOUBLE FIELD authKW 137291 0% 100% 5
8 APPELROT CLASSES authKW 109833 0% 100% 4
9 LIOUVILLE FOLIATION authKW 98845 1% 60% 6
10 INTEGRABLE SYSTEMS authKW 91340 5% 6% 52

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 18659 36% 0% 403
2 Mathematics 9029 39% 0% 437
3 Mathematics, Applied 5473 28% 0% 316
4 Mechanics 3275 19% 0% 216
5 Physics, Multidisciplinary 972 15% 0% 166
6 Multidisciplinary Sciences 200 3% 0% 28
7 BIOLOGY, MISCELLANEOUS 16 0% 0% 1
8 MEDICINE, MISCELLANEOUS 15 0% 0% 1
9 Operations Research & Management Science 7 1% 0% 12
10 Automation & Control Systems 6 1% 0% 10

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 MATH COMPUTAT PHYS 71872 1% 22% 12
2 IRTYSH BRANCH 61780 0% 75% 3
3 AL KHURMAH BRANCH 54917 0% 100% 2
4 CHAIR MATH SIMULAT 54917 0% 100% 2
5 INTEGRATE HUMAN STUDIES 54917 0% 100% 2
6 VOLGO BRANCH 54913 0% 50% 4
7 BAUMAN MOSCOW STATE TECH UNIV 27458 0% 100% 1
8 BRANCH FED STATE GEN HIGH PROFESS EDUC 27458 0% 100% 1
9 GIRLS EDUC SCI 27458 0% 100% 1
10 HAUTES ENERGIES UNIT 27458 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 REGULAR & CHAOTIC DYNAMICS 216327 7% 11% 73
2 SBORNIK MATHEMATICS 34322 4% 3% 44
3 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 23865 3% 3% 30
4 RUSSIAN MATHEMATICAL SURVEYS 23596 4% 2% 46
5 THEORETICAL AND MATHEMATICAL PHYSICS 13619 4% 1% 50
6 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 13015 3% 2% 31
7 MATHEMATICS OF THE USSR-IZVESTIYA 12554 1% 3% 15
8 COMMUNICATIONS IN MATHEMATICAL PHYSICS 6476 4% 1% 44
9 DOKLADY PHYSICS 6471 2% 1% 23
10 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 6398 5% 0% 61

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 KOWALEVSKI TOP 304151 1% 92% 12 Search KOWALEVSKI+TOP Search KOWALEVSKI+TOP
2 INTEGRABLE HAMILTONIAN SYSTEMS 285925 2% 39% 27 Search INTEGRABLE+HAMILTONIAN+SYSTEMS Search INTEGRABLE+HAMILTONIAN+SYSTEMS
3 ISOSPECTRAL FLOW 260332 1% 59% 16 Search ISOSPECTRAL+FLOW Search ISOSPECTRAL+FLOW
4 TODA FLOW 255570 1% 85% 11 Search TODA+FLOW Search TODA+FLOW
5 BI HAMILTONIAN GEOMETRY 146439 1% 67% 8 Search BI+HAMILTONIAN+GEOMETRY Search BI+HAMILTONIAN+GEOMETRY
6 DOUBLE FIELD 137291 0% 100% 5 Search DOUBLE+FIELD Search DOUBLE+FIELD
7 APPELROT CLASSES 109833 0% 100% 4 Search APPELROT+CLASSES Search APPELROT+CLASSES
8 LIOUVILLE FOLIATION 98845 1% 60% 6 Search LIOUVILLE+FOLIATION Search LIOUVILLE+FOLIATION
9 INTEGRABLE SYSTEMS 91340 5% 6% 52 Search INTEGRABLE+SYSTEMS Search INTEGRABLE+SYSTEMS
10 FREE RIGID BODY 89858 1% 55% 6 Search FREE+RIGID+BODY Search FREE+RIGID+BODY

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 KHARLAMOV, MP , RYABOV, PE , SAVUSHKIN, AY , (2016) TOPOLOGICAL ATLAS OF THE KOWALEVSKI - SOKOLOV TOP.REGULAR & CHAOTIC DYNAMICS. VOL. 21. ISSUE 1. P. 24 -65 25 96% 0
2 FEDOROV, YN , JOVANOVIC, B , (2012) GEODESIC FLOWS AND NEUMANN SYSTEMS ON STIEFEL VARIETIES: GEOMETRY AND INTEGRABILITY.MATHEMATISCHE ZEITSCHRIFT. VOL. 270. ISSUE 3-4. P. 659 -698 22 88% 0
3 VANHAECKE, P , (2001) LECTURE NOTES IN MATHEMATICS - INTRODUCTION.INTEGRABLE SYSTEMS IN THE REALM OF ALGEBRAIC GEOMETRY, SECOND EDITION. VOL. 1638. ISSUE . P. 1-+ 41 59% 0
4 YEHIA, HM , ELMANDOUH, AA , (2013) A NEW INTEGRABLE PROBLEM WITH A QUARTIC INTEGRAL IN THE DYNAMICS OF A RIGID BODY.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 46. ISSUE 14. P. - 17 100% 3
5 KHARLAMOV, MP , (2014) EXTENSIONS OF THE APPELROT CLASSES FOR THE GENERALIZED GYROSTAT IN A DOUBLE FORCE FIELD.REGULAR & CHAOTIC DYNAMICS. VOL. 19. ISSUE 2. P. 226 -244 18 90% 1
6 KOMAROV, IV , (2001) REMARKS ON KOWALEVSKI'S TOP.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 34. ISSUE 11. P. 2111-2120 22 96% 6
7 YEHIA, HM , ELMANDOUH, AA , (2016) INTEGRABLE 2D TIME-IRREVERSIBLE SYSTEMS WITH A CUBIC SECOND INTEGRAL.ADVANCES IN MATHEMATICAL PHYSICS. VOL. . ISSUE . P. - 19 73% 0
8 IZOSIMOV, A , (2015) ALGEBRAIC GEOMETRY AND STABILITY FOR INTEGRABLE SYSTEMS.PHYSICA D-NONLINEAR PHENOMENA. VOL. 291. ISSUE . P. 74 -82 16 80% 1
9 RYABOV, PE , OSHEMKOV, AA , SOKOLOV, SV , (2016) THE INTEGRABLE CASE OF ADLER-VAN MOERBEKE. DISCRIMINANT SET AND BIFURCATION DIAGRAM.REGULAR & CHAOTIC DYNAMICS. VOL. 21. ISSUE 5. P. 581 -592 15 83% 0
10 KUZNETSOV, VB , (2002) SIMULTANEOUS SEPARATION FOR THE KOWALEVSKI AND GORYACHEV-CHAPLYGIN GYROSTATS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 35. ISSUE 30. P. 6419 -6430 23 77% 5

Classes with closest relation at Level 1


Rank Class id link
1 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
2 23019 GENERALIZED RIEMANNIAN SPACE//GEODESIC MAPPING//GEODESICALLY EQUIVALENT METRICS
3 12667 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS
4 24086 UMR 8101//HAMILTONIAN MONODROMY//ENERGY MOMENTUM MAP
5 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
6 4300 INTEGRABLE COUPLING//HAMILTONIAN STRUCTURE//LOOP ALGEBRA
7 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT
8 23850 HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS
9 23947 GRONWALL CONJECTURE//LAGRANGE GRASSMANNIAN//TANAKA ALGEBRA
10 20486 COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS

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