Class information for:
Level 1: SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16171 669 16.0 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
16171 1                   SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS 669

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 SHARKOVSKIIS THEOREM authKW 369698 1% 90% 9
2 VERTEX MAPS authKW 273852 1% 100% 6
3 INTERVAL MAPS authKW 265517 4% 24% 24
4 TREE MAPS authKW 264065 1% 64% 9
5 SETS OF PERIODS authKW 228210 1% 100% 5
6 KNEADING THEORY authKW 212398 2% 42% 11
7 KM FSV address 194732 1% 53% 8
8 TOPOLOGICAL ENTROPY authKW 192538 6% 10% 42
9 LORENZ MAPS authKW 190173 1% 83% 5
10 MULTIVALUED VERSION authKW 182568 1% 100% 4

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 10321 54% 0% 358
2 Mathematics, Applied 6189 38% 0% 257
3 Physics, Mathematical 3061 19% 0% 129
4 Physics, Multidisciplinary 1024 19% 0% 128
5 Mathematics, Interdisciplinary Applications 925 9% 0% 59
6 Physics, Fluids & Plasmas 51 3% 0% 18
7 COMPUTER APPLICATIONS & CYBERNETICS 16 0% 0% 1
8 Mechanics 5 2% 0% 14
9 Multidisciplinary Sciences 2 1% 0% 4
10 Automation & Control Systems 2 1% 0% 5

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 KM FSV 194732 1% 53% 8
2 NONLINEAR COMPLEX SYST 46699 4% 4% 26
3 EWI DJAM 45642 0% 100% 1
4 FAK KEGURUAN DAN ILMU PENDIDIKAN 45642 0% 100% 1
5 PL MATH YUNNAN 45642 0% 100% 1
6 POWER SYST PROTECT DYNAM SECURITY MONIT 45642 0% 100% 1
7 EDIFICI CC 34227 0% 25% 3
8 INFORMAT MATEMAT LICADA 27812 1% 6% 10
9 CONTROL UNDER MINIST EDUC 22820 0% 50% 1
10 DEEC ENERGIA 22820 0% 50% 1

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 21936 5% 1% 34
2 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 13235 6% 1% 40
3 NONLINEARITY 10206 4% 1% 27
4 AMERICAN MATHEMATICAL MONTHLY 8907 3% 1% 23
5 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 8427 3% 1% 17
6 DYNAMICS AND STABILITY OF SYSTEMS 3361 0% 2% 3
7 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 3341 4% 0% 26
8 FUNDAMENTA MATHEMATICAE 2831 2% 1% 11
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2661 2% 0% 14
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2411 4% 0% 30

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 SHARKOVSKIIS THEOREM 369698 1% 90% 9 Search SHARKOVSKIIS+THEOREM Search SHARKOVSKIIS+THEOREM
2 VERTEX MAPS 273852 1% 100% 6 Search VERTEX+MAPS Search VERTEX+MAPS
3 INTERVAL MAPS 265517 4% 24% 24 Search INTERVAL+MAPS Search INTERVAL+MAPS
4 TREE MAPS 264065 1% 64% 9 Search TREE+MAPS Search TREE+MAPS
5 SETS OF PERIODS 228210 1% 100% 5 Search SETS+OF+PERIODS Search SETS+OF+PERIODS
6 KNEADING THEORY 212398 2% 42% 11 Search KNEADING+THEORY Search KNEADING+THEORY
7 TOPOLOGICAL ENTROPY 192538 6% 10% 42 Search TOPOLOGICAL+ENTROPY Search TOPOLOGICAL+ENTROPY
8 LORENZ MAPS 190173 1% 83% 5 Search LORENZ+MAPS Search LORENZ+MAPS
9 MULTIVALUED VERSION 182568 1% 100% 4 Search MULTIVALUED+VERSION Search MULTIVALUED+VERSION
10 SHARKOVSKYS THEOREM 182560 1% 50% 8 Search SHARKOVSKYS+THEOREM Search SHARKOVSKYS+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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 HAO, BL , (1998) APPLIED SYMBOLIC DYNAMICS.CHINESE JOURNAL OF PHYSICS. VOL. 36. ISSUE 6. P. 753-757 25 96% 4
2 ALSEDA, L , RUETTE, S , (2015) ON THE SET OF PERIODS OF SIGMA MAPS OF DEGREE 1.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 10. P. 4683 -4734 15 100% 0
3 AMIGO, JM , GIMENEZ, A , (2015) FORMULAS FOR THE TOPOLOGICAL ENTROPY OF MULTIMODAL MAPS BASED ON MIN-MAX SYMBOLS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 20. ISSUE 10. P. 3415 -3434 13 100% 1
4 PENG, SL , (2005) ORDER ISOMORPHISM UNDER HIGHER POWER SHIFT AND GENERIC FORM OF RENORMALIZATION GROUP EQUATIONS IN MULTIMODAL MAPS.CHAOS SOLITONS & FRACTALS. VOL. 23. ISSUE 5. P. 1757-1775 20 83% 1
5 BLOKH, A , SNIDER, K , (2013) OVER-ROTATION NUMBERS FOR UNIMODAL MAPS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 19. ISSUE 7. P. 1108-1132 15 88% 0
6 CAO, KF , ZHOU, Z , GAO, W , PENG, SL , (2001) GENERAL FORM OF SUPERUNIVERSALITY FOR FRACTAL DIMENSIONS IN ONE-DIMENSIONAL MAPS.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 15. ISSUE 32. P. 4183-4197 22 81% 1
7 MAI, JH , SHAO, S , (2011) FORCING RELATION ON PATTERNS OF INVARIANT SETS AND REDUCTIONS OF INTERVAL MAPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 363. ISSUE 5. P. 2517 -2549 13 100% 0
8 ALSEDA, L , JUHER, D , KING, DM , MANOSAS, F , (2013) MAXIMIZING ENTROPY OF CYCLES ON TREES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 33. ISSUE 8. P. 3237-3276 12 100% 0
9 ALSEDA, L , JUHER, D , MANOSAS, F , (2017) ON THE MINIMUM POSITIVE ENTROPY FOR CYCLES ON TREES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 369. ISSUE 1. P. 187 -221 14 78% 0
10 AMIGO, JM , DILAO, R , GIMENEZ, A , (2012) COMPUTING THE TOPOLOGICAL ENTROPY OF MULTIMODAL MAPS VIA MIN-MAX SEQUENCES.ENTROPY. VOL. 14. ISSUE 4. P. 742 -768 12 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 6632 INVERSE LIMIT//DISTRIBUTIONAL CHAOS//TOPOLOGICAL ENTROPY
2 8275 CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS
3 21525 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS
4 25932 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//BVP OSCILLATOR
5 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
6 13791 WADA BASIN BOUNDARY//INTERTWINED BASINS//WADA BASINS
7 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS
8 26584 CHAOTIFICATION//ANTICONTROL//ANTICONTROL OF CHAOS
9 15360 LOCAL LYAPUNOV EXPONENT//LOCAL EXPANSION RATE//MEAN LYAPUNOV EXPONENT
10 19493 EPSILON MACHINE//PROBABILISTIC FINITE STATE AUTOMATA//SYMBOLIC TIME SERIES ANALYSIS

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