Class information for:
Level 1: ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM

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
20968 1                   ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM 461

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ROTATION SET authKW 854560 3% 83% 15
2 TORUS HOMEOMORPHISMS authKW 486151 2% 89% 8
3 PLANAR HOMEOMORPHISM authKW 218767 1% 80% 4
4 SURFACE HOMEOMORPHISMS authKW 218767 1% 80% 4
5 CLOSED CONNECTED SETS authKW 205096 1% 100% 3
6 BROUWER HOMEOMORPHISM authKW 182305 1% 67% 4
7 INVARIANT CONTINUUM authKW 153820 1% 75% 3
8 OMEGA LIMITS authKW 153820 1% 75% 3
9 IMERL address 147700 2% 20% 11
10 BRICK DECOMPOSITIONS authKW 136730 0% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 20572 90% 0% 415
2 Mathematics, Applied 6368 47% 0% 215
3 Physics, Mathematical 366 8% 0% 39
4 Mathematics, Interdisciplinary Applications 0 1% 0% 3
5 Geriatrics & Gerontology -0 0% 0% 1
6 Psychology -1 0% 0% 1
7 Mechanics -2 0% 0% 2
8 Physics, Multidisciplinary -3 1% 0% 4
9 Physics, Particles & Fields -3 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IMERL 147700 2% 20% 11
2 ANALY GEOMETRIE PLICAT 68365 0% 100% 1
3 ESECUELA INGN IND 68365 0% 100% 1
4 MATH INTERDISCIPLINAR 68365 0% 100% 1
5 MATH JUSSIEU PARIS RIVE 68365 0% 100% 1
6 MATHEMAT JUSSIEU PARIS RIVE GAUCHEUMR 7586 68365 0% 100% 1
7 SORBONNE UNIV MATH JUSSIEU PARIS RIVE GAUCHE 68365 0% 100% 1
8 UMR 7539 ANAL GEOMETRIE PLICAT 41014 1% 20% 3
9 ANAL GEOMETRIE PLICAT LAGA 34182 0% 50% 1
10 MATEMAT EDIFICI CC 34182 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 135104 15% 3% 70
2 TOPOLOGY 15153 4% 1% 17
3 NONLINEARITY 13769 6% 1% 26
4 TOPOLOGY AND ITS APPLICATIONS 10438 7% 0% 31
5 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 7049 1% 3% 4
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6399 9% 0% 40
7 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 5346 2% 1% 7
8 FUNDAMENTA MATHEMATICAE 4943 3% 1% 12
9 JOURNAL OF MODERN DYNAMICS 4457 1% 2% 4
10 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 3805 1% 1% 5

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ROTATION SET 854560 3% 83% 15 Search ROTATION+SET Search ROTATION+SET
2 TORUS HOMEOMORPHISMS 486151 2% 89% 8 Search TORUS+HOMEOMORPHISMS Search TORUS+HOMEOMORPHISMS
3 PLANAR HOMEOMORPHISM 218767 1% 80% 4 Search PLANAR+HOMEOMORPHISM Search PLANAR+HOMEOMORPHISM
4 SURFACE HOMEOMORPHISMS 218767 1% 80% 4 Search SURFACE+HOMEOMORPHISMS Search SURFACE+HOMEOMORPHISMS
5 CLOSED CONNECTED SETS 205096 1% 100% 3 Search CLOSED+CONNECTED+SETS Search CLOSED+CONNECTED+SETS
6 BROUWER HOMEOMORPHISM 182305 1% 67% 4 Search BROUWER+HOMEOMORPHISM Search BROUWER+HOMEOMORPHISM
7 INVARIANT CONTINUUM 153820 1% 75% 3 Search INVARIANT+CONTINUUM Search INVARIANT+CONTINUUM
8 OMEGA LIMITS 153820 1% 75% 3 Search OMEGA+LIMITS Search OMEGA+LIMITS
9 BRICK DECOMPOSITIONS 136730 0% 100% 2 Search BRICK+DECOMPOSITIONS Search BRICK+DECOMPOSITIONS
10 BROUWER TRANSLATION THEOREM 136730 0% 100% 2 Search BROUWER+TRANSLATION+THEOREM Search BROUWER+TRANSLATION+THEOREM

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 17369 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
2 38154 CIRCUIT PROCESSES//ROTATIONAL REPRESENTATION OF STOCHASTIC MATRICES//AUTOMATIC TRANSISTOR SIZING
3 20370 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS
4 14869 TRANSLATION SURFACE//INTERVAL EXCHANGE TRANSFORMATION//VEECH GROUPS
5 5231 TOPOLOGICAL ENTROPY//DISTRIBUTIONAL CHAOS//SCRAMBLED SET
6 10252 BRANCHED SURFACE//ANOSOV FLOW//GROUP OF HOMEOMORPHISMS
7 37779 SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD
8 20969 NONINVERTIBLE MAPS//ARNOLD RESONANCE WEB//PREFOCAL SETS
9 21941 CHAOTIC SCATTERING//ESCAPES//ESCAPE DYNAMICS
10 6991 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY

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