Class information for:
Level 1: INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
6632 1462 16.2 41%



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
6632 1                   INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY 1462

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 INVERSE LIMIT authKW 794242 6% 44% 87
2 DISTRIBUTIONAL CHAOS authKW 748381 3% 73% 49
3 TOPOLOGICAL ENTROPY authKW 672128 8% 28% 116
4 SCRAMBLED SET authKW 648045 2% 97% 32
5 EXPANSIVE HOMEOMORPHISM authKW 409172 2% 85% 23
6 LI YORKE CHAOS authKW 396003 2% 59% 32
7 RECURRENT POINT authKW 342688 1% 86% 19
8 GRAPH MAP authKW 317658 1% 89% 17
9 INVERSE LIMIT SPACE authKW 307563 1% 82% 18
10 TRIANGULAR MAP authKW 306987 1% 70% 21

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 47681 77% 0% 1126
2 Mathematics, Applied 31750 58% 0% 849
3 Mathematics, Interdisciplinary Applications 3617 12% 0% 170
4 Physics, Mathematical 2542 12% 0% 178
5 Physics, Multidisciplinary 172 7% 0% 98
6 Statistics & Probability 19 1% 0% 21
7 Computer Science, Theory & Methods 8 1% 0% 20
8 COMPUTER APPLICATIONS & CYBERNETICS 6 0% 0% 1
9 Logic 2 0% 0% 2
10 Multidisciplinary Sciences 1 0% 0% 6

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 MATH OPAVA 74574 1% 36% 10
2 LMNS 48999 1% 18% 13
3 HOSP DE MARINA 41769 0% 100% 2
4 LATTIS SCI PL TOULOUSE 41769 0% 100% 2
5 KM FSV 34801 0% 33% 5
6 NONLINEAR INFORMAT TECHNOL 32625 0% 31% 5
7 MATEMAT LICADA ESTADIST 30409 2% 6% 24
8 MATH TOPOL DYNAM 27844 0% 67% 2
9 SUPERCOMPUTING IT4INNOVAT 27844 0% 67% 2
10 TECNOL LINGUAGENS 27844 0% 67% 2

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 TOPOLOGY AND ITS APPLICATIONS 117357 13% 3% 185
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 76773 6% 4% 94
3 FUNDAMENTA MATHEMATICAE 36176 4% 3% 58
4 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 34744 3% 3% 51
5 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 19664 1% 5% 20
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 18198 4% 2% 54
7 CHAOS SOLITONS & FRACTALS 17371 6% 1% 81
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 14709 7% 1% 109
9 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 10996 4% 1% 54
10 HOUSTON JOURNAL OF MATHEMATICS 8380 2% 1% 28

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 INVERSE LIMIT 794242 6% 44% 87 Search INVERSE+LIMIT Search INVERSE+LIMIT
2 DISTRIBUTIONAL CHAOS 748381 3% 73% 49 Search DISTRIBUTIONAL+CHAOS Search DISTRIBUTIONAL+CHAOS
3 TOPOLOGICAL ENTROPY 672128 8% 28% 116 Search TOPOLOGICAL+ENTROPY Search TOPOLOGICAL+ENTROPY
4 SCRAMBLED SET 648045 2% 97% 32 Search SCRAMBLED+SET Search SCRAMBLED+SET
5 EXPANSIVE HOMEOMORPHISM 409172 2% 85% 23 Search EXPANSIVE+HOMEOMORPHISM Search EXPANSIVE+HOMEOMORPHISM
6 LI YORKE CHAOS 396003 2% 59% 32 Search LI+YORKE+CHAOS Search LI+YORKE+CHAOS
7 RECURRENT POINT 342688 1% 86% 19 Search RECURRENT+POINT Search RECURRENT+POINT
8 GRAPH MAP 317658 1% 89% 17 Search GRAPH+MAP Search GRAPH+MAP
9 INVERSE LIMIT SPACE 307563 1% 82% 18 Search INVERSE+LIMIT+SPACE Search INVERSE+LIMIT+SPACE
10 TRIANGULAR MAP 306987 1% 70% 21 Search TRIANGULAR+MAP Search TRIANGULAR+MAP

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 LI, J , YE, XD , (2016) RECENT DEVELOPMENT OF CHAOS THEORY IN TOPOLOGICAL DYNAMICS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 32. ISSUE 1. P. 83 -114 69 100% 2
2 GLASNER, E , YE, XD , (2009) LOCAL ENTROPY THEORY.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 29. ISSUE . P. 321-356 47 90% 24
3 ZHANG, GH , (2012) RELATIVIZATION OF DYNAMICAL PROPERTIES.SCIENCE CHINA-MATHEMATICS. VOL. 55. ISSUE 5. P. 913-936 41 89% 2
4 OPROCHA, P , (2009) DISTRIBUTIONAL CHAOS REVISITED.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 361. ISSUE 9. P. 4901 -4925 29 100% 29
5 LI, J , LI, J , TU, SM , (2016) DEVANEY CHAOS PLUS SHADOWING IMPLIES DISTRIBUTIONAL CHAOS.CHAOS. VOL. 26. ISSUE 9. P. - 26 100% 0
6 WU, XX , (2016) CHAOS OF TRANSFORMATIONS INDUCED ONTO THE SPACE OF PROBABILITY MEASURES.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 26. ISSUE 13. P. - 26 100% 0
7 BANIC, I , CREPNJAK, M , MERHAR, M , MILUTINOVIC, U , (2013) TOWARDS THE COMPLETE CLASSIFICATION OF GENERALIZED TENT MAPS INVERSE LIMITS.TOPOLOGY AND ITS APPLICATIONS. VOL. 160. ISSUE 1. P. 63-73 31 86% 4
8 ZHU, H , LIU, L , WANG, J , (2015) A NOTE ON STRONGER FORMS OF SENSITIVITY FOR INVERSE LIMIT DYNAMICAL SYSTEMS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 24 100% 2
9 HUANG, W , LU, P , YE, XD , (2011) MEASURE-THEORETICAL SENSITIVITY AND EQUICONTINUITY.ISRAEL JOURNAL OF MATHEMATICS. VOL. 183. ISSUE 1. P. 233-283 24 100% 12
10 WU, XX , LI, RS , ZHANG, YR , (2016) THE MULTI-F-SENSITIVITY AND (F-1,F-2)-SENSITIVITY FOR PRODUCT SYSTEMS.JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS. VOL. 9. ISSUE 6. P. 4364 -4370 21 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
2 26584 CHAOTIFICATION//ANTICONTROL//ANTICONTROL OF CHAOS
3 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
4 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
5 13228 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC
6 24058 ALGEBRAIC ENTROPY//ALGEBRAIC ACTION//MEAN DIMENSION
7 14793 CONTINUUM//HYPERSPACE//DENDROID
8 12689 ERGODIC THEORY AND DYNAMICAL SYSTEMS//JOININGS//C F CONSTRUCTION
9 36380 PERIOD DOUBLING CASCADE//ATTRACTION OF CYCLIC CHAOS BY AN EQUILIBRIUM//CHAOS AROUND TORI
10 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS

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