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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8023 1301 20.5 38%


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
8023 1                   DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY 1301

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 DOMINATED SPLITTING authKW 1330682 5% 90% 63
2 HOMOCLINIC CLASS authKW 1060243 4% 94% 48
3 PARTIAL HYPERBOLICITY authKW 928488 4% 75% 53
4 HOMOCLINIC TANGENCY authKW 704468 3% 73% 41
5 AXIOM A authKW 356412 2% 56% 27
6 ANOSOV authKW 308290 1% 77% 17
7 SYMBOLIC EXTENSION authKW 305098 1% 100% 13
8 HETERODIMENSIONAL CYCLE authKW 304149 1% 72% 18
9 SHADOWING PROPERTY authKW 275856 2% 49% 24
10 PARTIALLY HYPERBOLIC authKW 259963 1% 92% 12

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 41483 76% 0% 991
2 Mathematics, Applied 26552 56% 0% 733
3 Physics, Mathematical 4398 17% 0% 217
4 Mathematics, Interdisciplinary Applications 183 3% 0% 41
5 Mechanics 6 2% 0% 24
6 Multidisciplinary Sciences 5 1% 0% 8
7 Statistics & Probability 1 1% 0% 10
8 Physics, Multidisciplinary 1 2% 0% 29
9 Automation & Control Systems 0 1% 0% 7
10 Mathematical & Computational Biology -0 0% 0% 3

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 INGN 213353 1% 91% 10
2 IMERL 111238 1% 30% 16
3 URM 5584 93876 0% 100% 4
4 MATEMAT ESTADIST LITORAL 88454 1% 54% 7
5 UMR 5584 56914 2% 9% 28
6 PL MATH CYBERNET 52675 1% 14% 16
7 MATEMAT 50410 19% 1% 251
8 ESTGOH POLITECN COIMBRA 46938 0% 100% 2
9 IMPA RIO DE JANEIRO 46938 0% 100% 2
10 CMAT 44808 1% 12% 16

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 180762 10% 6% 136
2 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 91455 9% 3% 114
3 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 60217 3% 8% 33
4 JOURNAL OF MODERN DYNAMICS 59508 2% 11% 24
5 NONLINEARITY 57150 7% 3% 89
6 BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 15741 1% 4% 18
7 BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA 14309 0% 10% 6
8 REGULAR & CHAOTIC DYNAMICS 10000 1% 3% 17
9 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 9199 2% 2% 22
10 ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 8203 1% 2% 18

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 DOMINATED SPLITTING 1330682 5% 90% 63 Search DOMINATED+SPLITTING Search DOMINATED+SPLITTING
2 HOMOCLINIC CLASS 1060243 4% 94% 48 Search HOMOCLINIC+CLASS Search HOMOCLINIC+CLASS
3 PARTIAL HYPERBOLICITY 928488 4% 75% 53 Search PARTIAL+HYPERBOLICITY Search PARTIAL+HYPERBOLICITY
4 HOMOCLINIC TANGENCY 704468 3% 73% 41 Search HOMOCLINIC+TANGENCY Search HOMOCLINIC+TANGENCY
5 AXIOM A 356412 2% 56% 27 Search AXIOM+A Search AXIOM+A
6 ANOSOV 308290 1% 77% 17 Search ANOSOV Search ANOSOV
7 SYMBOLIC EXTENSION 305098 1% 100% 13 Search SYMBOLIC+EXTENSION Search SYMBOLIC+EXTENSION
8 HETERODIMENSIONAL CYCLE 304149 1% 72% 18 Search HETERODIMENSIONAL+CYCLE Search HETERODIMENSIONAL+CYCLE
9 SHADOWING PROPERTY 275856 2% 49% 24 Search SHADOWING+PROPERTY Search SHADOWING+PROPERTY
10 PARTIALLY HYPERBOLIC 259963 1% 92% 12 Search PARTIALLY+HYPERBOLIC Search PARTIALLY+HYPERBOLIC

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 BESSA, M , LEE, M , WEN, X , (2015) SHADOWING, EXPANSIVENESS AND SPECIFICATION FOR C-1-CONSERVATIVE SYSTEMS.ACTA MATHEMATICA SCIENTIA. VOL. 35. ISSUE 3. P. 583 -600 35 100% 0
2 CROVISIER, S , SAMBARINO, M , YANG, DW , (2015) PARTIAL HYPERBOLICITY AND HOMOCLINIC TANGENCIES.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 17. ISSUE 1. P. 1 -49 28 100% 7
3 LIANG, C , SUN, WX , YANG, JG , (2012) SOME RESULTS ON PERTURBATIONS OF LYAPUNOV EXPONENTS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 32. ISSUE 12. P. 4287 -4305 33 100% 1
4 BONATTI, C , (2011) TOWARDS A GLOBAL VIEW OF DYNAMICAL SYSTEMS, FOR THE C-1-TOPOLOGY.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 31. ISSUE . P. 959 -993 31 97% 14
5 ARBIETO, A , CATALAN, T , (2013) HYPERBOLICITY IN THE VOLUME-PRESERVING SCENARIO.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 33. ISSUE . P. 1644-1666 28 100% 8
6 BESSA, M , ROCHA, J , TORRES, MJ , (2013) SHADES OF HYPERBOLICITY FOR HAMILTONIANS.NONLINEARITY. VOL. 26. ISSUE 10. P. 2851-2873 30 94% 6
7 ANOSOV, DV , ZHUZHOMA, EV , (2012) CLOSING LEMMAS.DIFFERENTIAL EQUATIONS. VOL. 48. ISSUE 13. P. 1653-1699 37 79% 4
8 DIAZ, LJ , GORODETSKI, A , (2009) NON-HYPERBOLIC ERGODIC MEASURES FOR NON-HYPERBOLIC HOMOCLINIC CLASSES.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 29. ISSUE . P. 1479-1513 31 97% 7
9 GONCHENKO, SV , GONEHENKO, AS , OVSYANNIKOV, II , TURAEV, DV , (2013) EXAMPLES OF LORENZ-LIKE ATTRACTORS IN HENON-LIKE MAPS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 8. ISSUE 5. P. 48 -70 43 61% 3
10 YANG, JG , (2011) NEWHOUSE PHENOMENON AND HOMOCLINIC CLASSES.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 31. ISSUE . P. 1537-1562 28 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
2 15600 ORBIT FLIP//INCLINATION FLIP//T POINT
3 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
4 6632 INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY
5 11113 HARMONIC MANIFOLDS//ASYMPTOTICALLY HARMONIC MANIFOLDS//BOUNDARY RIGIDITY
6 14916 CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF
7 21525 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS
8 16067 GREEN CURRENT//DYNAMICAL DEGREES//HENON MAPS
9 14169 GROUP OF HOMEOMORPHISMS//BRANCHED SURFACE//ISOLATED ORDERING
10 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION

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