Class information for:
Level 1: DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY

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
6991 1                   DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY 1445

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DOMINATED SPLITTING authKW 1319449 5% 92% 66
2 HOMOCLINIC CLASS authKW 1112272 4% 100% 51
3 PARTIAL HYPERBOLICITY authKW 978192 4% 77% 58
4 HOMOCLINIC TANGENCY authKW 672064 3% 72% 43
5 AXIOM A authKW 374294 2% 59% 29
6 HETERODIMENSIONAL CYCLE authKW 323090 1% 74% 20
7 SYMBOLIC EXTENSION authKW 305330 1% 100% 14
8 SHADOWING PROPERTY authKW 294836 2% 52% 26
9 ANOSOV authKW 274029 1% 74% 17
10 EXPANSIVE FLOW authKW 263267 1% 93% 13

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 42680 74% 0% 1063
2 Mathematics, Applied 28637 56% 0% 803
3 Physics, Mathematical 6589 19% 0% 278
4 Mathematics, Interdisciplinary Applications 443 4% 0% 64
5 Mechanics 8 2% 0% 28
6 Physics, Multidisciplinary 7 3% 0% 42
7 Statistics & Probability 3 1% 0% 13
8 Automation & Control Systems 1 1% 0% 9
9 Multidisciplinary Sciences 1 0% 0% 6
10 Mathematical & Computational Biology -0 0% 0% 4

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IMERL INGN 219908 1% 92% 11
2 IMERL 87605 1% 27% 15
3 MATEMAT ESTADIST LITORAL 82097 1% 47% 8
4 URM 5584 69788 0% 80% 4
5 CMAT 62278 1% 14% 20
6 MATEMAT 54390 19% 1% 277
7 PL MATH CYBERNET 53842 1% 15% 17
8 ESTGOH POLITECN COIMBRA 43619 0% 100% 2
9 IMPA RIO DE JANEIRO 43619 0% 100% 2
10 UMR 5584 34603 2% 7% 23

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 203139 11% 6% 152
2 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 95326 9% 4% 124
3 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 66577 3% 8% 37
4 NONLINEARITY 63729 7% 3% 99
5 JOURNAL OF MODERN DYNAMICS 51231 2% 10% 24
6 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 19043 1% 4% 21
7 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 13387 2% 2% 28
8 BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA 13297 0% 10% 6
9 PUBLICATIONS MATHEMATIQUES 10248 1% 6% 8
10 JOURNAL OF DIFFERENTIAL EQUATIONS 9470 4% 1% 57

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 DOMINATED SPLITTING 1319449 5% 92% 66 Search DOMINATED+SPLITTING Search DOMINATED+SPLITTING
2 HOMOCLINIC CLASS 1112272 4% 100% 51 Search HOMOCLINIC+CLASS Search HOMOCLINIC+CLASS
3 PARTIAL HYPERBOLICITY 978192 4% 77% 58 Search PARTIAL+HYPERBOLICITY Search PARTIAL+HYPERBOLICITY
4 HOMOCLINIC TANGENCY 672064 3% 72% 43 Search HOMOCLINIC+TANGENCY Search HOMOCLINIC+TANGENCY
5 AXIOM A 374294 2% 59% 29 Search AXIOM+A Search AXIOM+A
6 HETERODIMENSIONAL CYCLE 323090 1% 74% 20 Search HETERODIMENSIONAL+CYCLE Search HETERODIMENSIONAL+CYCLE
7 SYMBOLIC EXTENSION 305330 1% 100% 14 Search SYMBOLIC+EXTENSION Search SYMBOLIC+EXTENSION
8 SHADOWING PROPERTY 294836 2% 52% 26 Search SHADOWING+PROPERTY Search SHADOWING+PROPERTY
9 ANOSOV 274029 1% 74% 17 Search ANOSOV Search ANOSOV
10 EXPANSIVE FLOW 263267 1% 93% 13 Search EXPANSIVE+FLOW Search EXPANSIVE+FLOW

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 37779 SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD
2 4572 DECAY OF CORRELATIONS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR
3 14804 ORBIT FLIP//INCLINATION FLIP//T POINT
4 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
5 5231 TOPOLOGICAL ENTROPY//DISTRIBUTIONAL CHAOS//SCRAMBLED SET
6 10252 BRANCHED SURFACE//ANOSOV FLOW//GROUP OF HOMEOMORPHISMS
7 4710 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
8 31832 C 1 SMOOTH FUNCTION//MORSE SARD THEOREM//GRADIENT RANGE
9 15742 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
10 15305 CONLEY INDEX//COMPUTER ASSISTED PROOF//RIGOROUS NUMERICS

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