Class information for:
Level 1: MOVING FRAME//DIFFERENTIAL INVARIANTS//PENTAGRAM MAP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15051 734 22.4 42%


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
127 2             PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION//SOLITON SOLUTION 23959
15051 1                   MOVING FRAME//DIFFERENTIAL INVARIANTS//PENTAGRAM MAP 734

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 MOVING FRAME authKW 583159 5% 37% 38
2 DIFFERENTIAL INVARIANTS authKW 531697 6% 30% 42
3 PENTAGRAM MAP authKW 460798 2% 92% 12
4 MOTION OF CURVE authKW 415999 1% 100% 10
5 PSEUDOSPHERICAL SURFACES authKW 297137 1% 71% 10
6 INVARIANT EVOLUTIONS OF CURVES authKW 208000 1% 100% 5
7 LIE PSEUDO GROUP authKW 208000 1% 100% 5
8 COMPLETELY INTEGRABLE PDES authKW 173331 1% 83% 5
9 SOLITON SURFACES authKW 173331 1% 83% 5
10 MOTIONS OF CURVES authKW 166400 1% 100% 4

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 12986 37% 0% 273
2 Mathematics, Applied 4119 30% 0% 222
3 Mathematics 2633 27% 0% 196
4 Physics, Multidisciplinary 2486 28% 0% 202
5 Mechanics 106 5% 0% 38
6 Physics, Fluids & Plasmas 66 3% 0% 21
7 Mathematics, Interdisciplinary Applications 56 2% 0% 18
8 Computer Science, Theory & Methods 21 2% 0% 16
9 Computer Science, Software Engineering 14 1% 0% 11
10 Physics, Particles & Fields 7 2% 0% 15

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 RECH MATH 53847 5% 4% 34
2 CRYPTOG ANAL STRUCT INSPEM 41600 0% 100% 1
3 CSIC UAM UCM UC3M MATEMAT 41600 0% 100% 1
4 FAK UNMITTELBARE ARBEITSGRP 41600 0% 100% 1
5 HBEREICH MATH MA 83 41600 0% 100% 1
6 MATHTHEORY 41600 0% 100% 1
7 MINOR NORMAL 41600 0% 100% 1
8 QUANTITAT MED IMAGING INT QMI3 41600 0% 100% 1
9 RUSSIA MATH 41600 0% 100% 1
10 WYDZIAL BUDOWNICTWA IZYNIERII SRODOWISKA 41600 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 JOURNAL OF GEOMETRY AND PHYSICS 16642 4% 1% 32
2 STUDIES IN APPLIED MATHEMATICS 9597 2% 1% 16
3 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 8873 2% 1% 16
4 JOURNAL OF MATHEMATICAL PHYSICS 7283 7% 0% 53
5 ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 6043 1% 4% 4
6 JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 3883 1% 1% 10
7 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 3799 1% 2% 6
8 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 3778 4% 0% 28
9 THEORETICAL AND MATHEMATICAL PHYSICS 3286 3% 0% 20
10 JOURNAL OF LIE THEORY 2690 1% 1% 7

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 MOVING FRAME 583159 5% 37% 38 Search MOVING+FRAME Search MOVING+FRAME
2 DIFFERENTIAL INVARIANTS 531697 6% 30% 42 Search DIFFERENTIAL+INVARIANTS Search DIFFERENTIAL+INVARIANTS
3 PENTAGRAM MAP 460798 2% 92% 12 Search PENTAGRAM+MAP Search PENTAGRAM+MAP
4 MOTION OF CURVE 415999 1% 100% 10 Search MOTION+OF+CURVE Search MOTION+OF+CURVE
5 PSEUDOSPHERICAL SURFACES 297137 1% 71% 10 Search PSEUDOSPHERICAL+SURFACES Search PSEUDOSPHERICAL+SURFACES
6 INVARIANT EVOLUTIONS OF CURVES 208000 1% 100% 5 Search INVARIANT+EVOLUTIONS+OF+CURVES Search INVARIANT+EVOLUTIONS+OF+CURVES
7 LIE PSEUDO GROUP 208000 1% 100% 5 Search LIE+PSEUDO+GROUP Search LIE+PSEUDO+GROUP
8 COMPLETELY INTEGRABLE PDES 173331 1% 83% 5 Search COMPLETELY+INTEGRABLE+PDES Search COMPLETELY+INTEGRABLE+PDES
9 SOLITON SURFACES 173331 1% 83% 5 Search SOLITON+SURFACES Search SOLITON+SURFACES
10 MOTIONS OF CURVES 166400 1% 100% 4 Search MOTIONS+OF+CURVES Search MOTIONS+OF+CURVES

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 LI, YY , QU, CZ , (2015) SYMPLECTIC INVARIANTS FOR CURVES AND INTEGRABLE SYSTEMS IN SIMILARITY SYMPLECTIC GEOMETRY.SCIENCE CHINA-MATHEMATICS. VOL. 58. ISSUE 7. P. 1415 -1432 36 92% 0
2 LI, YY , QU, CZ , SHU, SC , (2010) INTEGRABLE MOTIONS OF CURVES IN PROJECTIVE GEOMETRIES.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 60. ISSUE 6-8. P. 972 -985 25 96% 4
3 QU, CZ , HAN, JW , KANG, J , (2015) BACKLUND TRANSFORMATIONS FOR INTEGRABLE GEOMETRIC CURVE FLOWS.SYMMETRY-BASEL. VOL. 7. ISSUE 3. P. 1376 -1394 26 79% 0
4 QU, CZ , LI, YY , (2008) HIGHER-DIMENSIONAL INTEGRABLE SYSTEMS ARISING FROM MOTIONS OF CURVES ON S-2(R) AND S-3(R).COMMUNICATIONS IN THEORETICAL PHYSICS. VOL. 50. ISSUE 4. P. 841 -843 24 100% 2
5 BEFFA, GM , (2011) MOVING FRAMES, GEOMETRIC POISSON BRACKETS AND THE KDV-SCHWARZIAN EVOLUTION OF PURE SPINORS.ANNALES DE L INSTITUT FOURIER. VOL. 61. ISSUE 6. P. 2405 -2434 20 87% 1
6 SONG, JF , QU, CZ , (2012) INTEGRABLE SYSTEMS AND INVARIANT CURVE FLOWS IN CENTRO-EQUIAFFINE SYMPLECTIC GEOMETRY.PHYSICA D-NONLINEAR PHENOMENA. VOL. 241. ISSUE 4. P. 393 -402 22 76% 2
7 ZHANG, DB , HOU, YQ , (2007) THREE-COMPONENT WKI EQUATION AND CURVE MOTION FLOW IN EUCLIDEAN AND MINKOWSKI SPACE.CHAOS SOLITONS & FRACTALS. VOL. 31. ISSUE 1. P. 17-29 19 100% 1
8 QU, CZ , ZHANG, SL , (2004) MOTION OF CURVES AND SURFACES IN AFFINE GEOMETRY.CHAOS SOLITONS & FRACTALS. VOL. 20. ISSUE 5. P. 1013-1019 21 95% 5
9 WO, WF , QU, CZ , (2007) INTEGRABLE MOTIONS OF CURVES IN S(1)XR.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 57. ISSUE 8. P. 1733 -1755 20 91% 5
10 FUJIOKA, A , KUROSE, T , (2014) MULTI-HAMILTONIAN STRUCTURES ON SPACES OF CLOSED EQUICENTROAFFINE PLANE CURVES ASSOCIATED TO HIGHER KDV FLOWS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 10. ISSUE . P. - 17 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 13463 KAHLER ANGLE//HARMONIC MAPS//COMPLEX GRASSMANN MANIFOLD
2 19052 WILLMORE FUNCTIONAL//ELASTIC CURVES//WILLMORE SURFACES
3 25983 GLOBAL EMBEDDING//PROLONGATION STRUCTURE//COVARIANT PROLONGATION STRUCTURE
4 19541 ISOTHERMAL MAGNETOSTATIC ATMOSPHERES//SELF DUAL SU2//BARGMANN MICHEL TELEGDI EQUATIONS
5 4250 GMPIB//IMNC//UMR 8165
6 23427 SLANT HELIX//GENERAL HELIX//BERTRAND CURVE
7 13307 BEST CONSTANT OF THE ANISOTROPIC SOBOLEV INEQUALITY//KP II EQUATION//KADOMTSEV PETVIASHVILI EQUATION
8 23220 GEOMETRIC MOMENTUM//GEOMETRIC POTENTIAL//CENTER OF MASS STATES
9 13515 SHORT PULSE EQUATION//FEW CYCLE PULSES//DISPERSIONLESS EQUATION
10 24414 NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION

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