Class information for:
Level 1: MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
167 3       INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//PHYSICS, MATHEMATICAL 60542
1162 2             LIMIT CYCLE//ABELIAN INTEGRALS//NIELSEN NUMBER 9811
20370 1                   MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS 486

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MORSE SMALE DIFFEOMORPHISM authKW 608847 3% 72% 13
2 MATH 4408 address 389090 1% 100% 6
3 NMS SYSTEMS authKW 389090 1% 100% 6
4 LYAPUNOV GRAPHS authKW 324242 1% 100% 5
5 ROUND HANDLE DECOMPOSITION authKW 270200 1% 83% 5
6 EXPANDING ATTRACTOR authKW 259393 1% 100% 4
7 GRADIENT LIKE DIFFEOMORPHISM authKW 259393 1% 100% 4
8 LINKS OF PERIODIC ORBITS authKW 259393 1% 100% 4
9 LORENZ KNOTS authKW 259393 1% 100% 4
10 SMALE FLOWS authKW 259393 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Physics, Mathematical 6041 31% 0% 152
2 Mathematics 5730 47% 0% 229
3 Mathematics, Applied 2764 30% 0% 148
4 Mathematics, Interdisciplinary Applications 1654 14% 0% 66
5 Physics, Multidisciplinary 1364 25% 0% 122
6 Physics, Fluids & Plasmas 630 9% 0% 45
7 Physics, Atomic, Molecular & Chemical 21 4% 0% 19
8 Geochemistry & Geophysics 20 2% 0% 12
9 Optics 19 4% 0% 20
10 Mechanics 13 3% 0% 14

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 4408 389090 1% 100% 6
2 CORIA UMR 6614 89808 3% 11% 13
3 PL MATH CYBERNET 79792 2% 10% 12
4 CNRS UMR 6115 64848 0% 100% 1
5 CRP ANAL TOPOL MODELISAT SYST DYNAM 64848 0% 100% 1
6 ETUD RECH LASERS PLICAT PHYS LASERS A 64848 0% 100% 1
7 HLM 64848 0% 100% 1
8 IMAC UNIV MATEMAT LICAC CASTELLON 64848 0% 100% 1
9 MATEMAT ESTAT COMPUTACAO CIENTIFICA 64848 0% 100% 1
10 MATEMAT MATEMAT 64848 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 20039 9% 1% 42
2 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 11528 4% 1% 18
3 TOPOLOGY AND ITS APPLICATIONS 6954 5% 0% 26
4 RUSSIAN MATHEMATICAL SURVEYS 6673 3% 1% 16
5 ERGODIC THEORY AND DYNAMICAL SYSTEMS 6670 3% 1% 16
6 MATHEMATICAL NOTES 5046 4% 0% 20
7 SBORNIK MATHEMATICS 4907 2% 1% 11
8 REGULAR & CHAOTIC DYNAMICS 4449 1% 1% 7
9 NONLINEAR SCIENCE TODAY 4051 0% 6% 1
10 PHYSICA D-NONLINEAR PHENOMENA 4014 4% 0% 20

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MORSE SMALE DIFFEOMORPHISM 608847 3% 72% 13 Search MORSE+SMALE+DIFFEOMORPHISM Search MORSE+SMALE+DIFFEOMORPHISM
2 NMS SYSTEMS 389090 1% 100% 6 Search NMS+SYSTEMS Search NMS+SYSTEMS
3 LYAPUNOV GRAPHS 324242 1% 100% 5 Search LYAPUNOV+GRAPHS Search LYAPUNOV+GRAPHS
4 ROUND HANDLE DECOMPOSITION 270200 1% 83% 5 Search ROUND+HANDLE+DECOMPOSITION Search ROUND+HANDLE+DECOMPOSITION
5 EXPANDING ATTRACTOR 259393 1% 100% 4 Search EXPANDING+ATTRACTOR Search EXPANDING+ATTRACTOR
6 GRADIENT LIKE DIFFEOMORPHISM 259393 1% 100% 4 Search GRADIENT+LIKE+DIFFEOMORPHISM Search GRADIENT+LIKE+DIFFEOMORPHISM
7 LINKS OF PERIODIC ORBITS 259393 1% 100% 4 Search LINKS+OF+PERIODIC+ORBITS Search LINKS+OF+PERIODIC+ORBITS
8 LORENZ KNOTS 259393 1% 100% 4 Search LORENZ+KNOTS Search LORENZ+KNOTS
9 SMALE FLOWS 259393 1% 100% 4 Search SMALE+FLOWS Search SMALE+FLOWS
10 SURFACE BASIC SET 194545 1% 100% 3 Search SURFACE+BASIC+SET Search SURFACE+BASIC+SET

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
2 24951 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//PARAMETER SPACE
3 31848 SMALE WILLIAMS SOLENOID//KOTELNIKOVS RADIOENGN ELECT//HYPERBOLIC CHAOS
4 21941 CHAOTIC SCATTERING//ESCAPES//ESCAPE DYNAMICS
5 37779 SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD
6 4970 CIRCLE HOMEOMORPHISM//CRITICAL CIRCLE MAPS//ROTATION NUMBER
7 14869 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
8 9267 VECTOR LASERS//TODA OSCILLATOR//EQUIPE ASSOCIEE CNRS UP A 6082
9 1115 CHAOTIC TIME SERIES//CORRELATION DIMENSION//PL DYNAM OPTIMIZAT
10 9202 PARAMETRIC PENDULUM//GENERALIZED CELL MAPPING//WADA BASIN BOUNDARY

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