Class information for:
Level 1: ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21424 419 16.5 36%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
386 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY 16977
21424 1                   ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS 419

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 ROTATION SET authKW 910943 4% 83% 15
2 PSEUDO CIRCLE authKW 396765 2% 78% 7
3 TORUS HOMEOMORPHISMS authKW 396765 2% 78% 7
4 INVARIANT CONTINUUM authKW 291503 1% 100% 4
5 PLANAR HOMEOMORPHISM authKW 233201 1% 80% 4
6 SURFACE HOMEOMORPHISMS authKW 233201 1% 80% 4
7 CLOSED CONNECTED SETS authKW 218628 1% 100% 3
8 BROUWER HOMEOMORPHISM authKW 194333 1% 67% 4
9 OMEGA LIMITS authKW 163969 1% 75% 3
10 BRICK DECOMPOSITIONS authKW 145752 0% 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 Mathematics 19596 92% 0% 385
2 Mathematics, Applied 5349 45% 0% 188
3 Physics, Mathematical 213 7% 0% 29
4 Mathematics, Interdisciplinary Applications -0 0% 0% 2
5 Geriatrics & Gerontology -0 0% 0% 1
6 Psychology -0 0% 0% 1
7 Mechanics -2 0% 0% 2
8 Physics, Particles & Fields -3 0% 0% 1
9 Physics, Multidisciplinary -5 0% 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 IMERL 109299 2% 17% 9
2 ANALY GEOMETRIE PLICAT 72876 0% 100% 1
3 MATH INTERDISCIPLINAR 72876 0% 100% 1
4 MATHEMAT JUSSIEU PARIS RIVE GAUCHEUMR 7586 72876 0% 100% 1
5 SORBONNE UNIV MATH JUSSIEU PARIS RIVE GAUCHE 72876 0% 100% 1
6 UMR 7539 ANAL GEOMETRIE PLICAT 46844 1% 21% 3
7 ANAL GEOMETRIE PLICAT LAGA 36437 0% 50% 1
8 MATEMAT EDIFICI CC 36437 0% 50% 1
9 CC MATEMAT 29947 2% 5% 9
10 MATEMAT ESTAT 29827 5% 2% 21

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 ERGODIC THEORY AND DYNAMICAL SYSTEMS 95195 13% 2% 56
2 TOPOLOGY 14308 4% 1% 16
3 TOPOLOGY AND ITS APPLICATIONS 10742 7% 0% 30
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7287 10% 0% 41
5 NONLINEARITY 7245 4% 1% 18
6 GEOMETRY & TOPOLOGY 5370 2% 1% 8
7 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 4963 1% 2% 3
8 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 4465 1% 1% 6
9 FUNDAMENTA MATHEMATICAE 3744 2% 1% 10
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 3492 5% 0% 21

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 ROTATION SET 910943 4% 83% 15 Search ROTATION+SET Search ROTATION+SET
2 PSEUDO CIRCLE 396765 2% 78% 7 Search PSEUDO+CIRCLE Search PSEUDO+CIRCLE
3 TORUS HOMEOMORPHISMS 396765 2% 78% 7 Search TORUS+HOMEOMORPHISMS Search TORUS+HOMEOMORPHISMS
4 INVARIANT CONTINUUM 291503 1% 100% 4 Search INVARIANT+CONTINUUM Search INVARIANT+CONTINUUM
5 PLANAR HOMEOMORPHISM 233201 1% 80% 4 Search PLANAR+HOMEOMORPHISM Search PLANAR+HOMEOMORPHISM
6 SURFACE HOMEOMORPHISMS 233201 1% 80% 4 Search SURFACE+HOMEOMORPHISMS Search SURFACE+HOMEOMORPHISMS
7 CLOSED CONNECTED SETS 218628 1% 100% 3 Search CLOSED+CONNECTED+SETS Search CLOSED+CONNECTED+SETS
8 BROUWER HOMEOMORPHISM 194333 1% 67% 4 Search BROUWER+HOMEOMORPHISM Search BROUWER+HOMEOMORPHISM
9 OMEGA LIMITS 163969 1% 75% 3 Search OMEGA+LIMITS Search OMEGA+LIMITS
10 BRICK DECOMPOSITIONS 145752 0% 100% 2 Search BRICK+DECOMPOSITIONS Search BRICK+DECOMPOSITIONS

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 KOROPECKI, A , (2017) REALIZING ROTATION NUMBERS ON ANNULAR CONTINUA.MATHEMATISCHE ZEITSCHRIFT. VOL. 285. ISSUE 1-2. P. 549 -564 26 81% 0
2 JAGER, T , KOROPECKI, A , (2017) POINCAR, THEORY FOR DECOMPOSABLE COFRONTIERS.ANNALES HENRI POINCARE. VOL. 18. ISSUE 1. P. 85 -112 19 95% 0
3 JAGER, T , PASSEGGI, A , (2015) ON TORUS HOMEOMORPHISMS SEMICONJUGATE TO IRRATIONAL ROTATIONS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 35. ISSUE . P. 2114 -2137 20 87% 2
4 LE ROUX, F , (2004) DYNAMICS OF SURFACE HOMEOMORPHISMS, TOPOLOGICAL VERSIONS OF LEAU-FATOU FLOWER THEOREM AND STABLE MANIFOLD THEOREM.ASTERISQUE. VOL. . ISSUE 292. P. 1-+ 23 100% 1
5 LE ROUX, F , (2013) THE ROTATION SET AROUND A FIXED POINT FOR SURFACE HOMEOMORPHISMS.ASTERISQUE. VOL. . ISSUE 350. P. 1-+ 19 83% 0
6 YAN, JZ , (2016) EXISTENCE OF PERIODIC POINTS NEAR AN ISOLATED FIXED POINT WITH LEFSCHETZ INDEX ONE AND ZERO ROTATION FOR AREA PRESERVING SURFACE HOMEOMORPHISMS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 36. ISSUE . P. 2293 -2333 15 83% 0
7 GUELMAN, N , KOROPECKI, A , TAL, FA , (2014) A CHARACTERIZATION OF ANNULARITY FOR AREA-PRESERVING TORAL HOMEOMORPHISMS.MATHEMATISCHE ZEITSCHRIFT. VOL. 276. ISSUE 3-4. P. 673 -689 12 100% 1
8 ADDAS-ZANATA, S , (2005) SOME EXTENSIONS OF THE POINCARE-BIRKHOFF THEOREM TO THE CYLINDER AND A REMARK ON MAPPINGS OF THE TORUS HOMOTOPIC TO DEHN TWISTS.NONLINEARITY. VOL. 18. ISSUE 5. P. 2243-2260 16 94% 6
9 KOROPECKI, A , LE CALVEZ, P , NASSIRI, M , (2015) PRIME ENDS ROTATION NUMBERS AND PERIODIC POINTS.DUKE MATHEMATICAL JOURNAL. VOL. 164. ISSUE 3. P. 403 -472 15 75% 2
10 KOROPECKI, A , TAL, FA , (2014) STRICTLY TORAL DYNAMICS.INVENTIONES MATHEMATICAE. VOL. 196. ISSUE 2. P. 339 -381 13 87% 3

Classes with closest relation at Level 1


Rank Class id link
1 17793 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
2 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
3 18169 STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//ARNOLD RESONANCE WEB
4 35743 CIRCUIT PROCESSES//ROTATIONAL REPRESENTATION OF STOCHASTIC MATRICES//AUTOMATIC TRANSISTOR SIZING
5 6632 INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY
6 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
7 14490 WEAK KAM THEORY//AUBRY MATHER THEORY//HAMILTON JACOBI EQUATION
8 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
9 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
10 14793 CONTINUUM//HYPERSPACE//DENDROID

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