Class information for:
Level 1: CONLEY INDEX//COMPUTER ASSISTED PROOF//RIGOROUS NUMERICS

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
15305 1                   CONLEY INDEX//COMPUTER ASSISTED PROOF//RIGOROUS NUMERICS 746

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CONLEY INDEX authKW 2190085 12% 60% 87
2 COMPUTER ASSISTED PROOF authKW 1455831 8% 62% 56
3 RIGOROUS NUMERICS authKW 1045581 4% 75% 33
4 NUMERICAL VERIFICATION authKW 802643 5% 50% 38
5 ISOLATED INVARIANT SET authKW 460010 2% 78% 14
6 INDEX PAIR authKW 393213 1% 85% 11
7 ISOLATING SEGMENTS authKW 357844 2% 71% 12
8 TOPOLOGICAL HORSESHOES authKW 324967 1% 77% 10
9 NUMERICAL VERIFICATION METHOD authKW 300417 1% 89% 8
10 COVERING RELATIONS authKW 244419 1% 64% 9

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 20568 65% 0% 487
2 Mathematics 10967 52% 0% 391
3 Physics, Mathematical 2341 16% 0% 120
4 Mathematics, Interdisciplinary Applications 432 6% 0% 44
5 Computer Science, Theory & Methods 140 4% 0% 33
6 Mechanics 102 5% 0% 38
7 Physics, Multidisciplinary 22 4% 0% 32
8 Computer Science, Software Engineering 4 1% 0% 8
9 Psychology, Mathematical 1 0% 0% 1
10 Computer Science, Cybernetics 0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DYNAM SYST NONLINEAR STUDIES 139762 2% 22% 15
2 COMP SCI COMPUTAT MATH 54313 0% 43% 3
3 BASQUE PL MATH 42246 0% 100% 1
4 CIENCIAS MATEMT COMPUTACAO 42246 0% 100% 1
5 CIENCIAS MATH SAO CARLO 42246 0% 100% 1
6 DIPARTIMENTO MATEMAT MOX 42246 0% 100% 1
7 MATH DYNAM SYST NONLINEAR STUDIES 42246 0% 100% 1
8 RECH MATEMAT PHYS 42246 0% 100% 1
9 XIASHA DEV AREA 42246 0% 100% 1
10 ANGEW NUMER MATH 1 21122 0% 50% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 110742 6% 6% 44
2 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 56791 4% 5% 29
3 JOURNAL OF DIFFERENTIAL EQUATIONS 26285 9% 1% 68
4 JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 22177 2% 3% 16
5 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 19925 2% 3% 14
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS 7480 3% 1% 21
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 7116 6% 0% 42
8 NONLINEARITY 5530 3% 1% 21
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 5268 3% 1% 21
10 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 4970 3% 0% 24

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CONLEY INDEX 2190085 12% 60% 87 Search CONLEY+INDEX Search CONLEY+INDEX
2 COMPUTER ASSISTED PROOF 1455831 8% 62% 56 Search COMPUTER+ASSISTED+PROOF Search COMPUTER+ASSISTED+PROOF
3 RIGOROUS NUMERICS 1045581 4% 75% 33 Search RIGOROUS+NUMERICS Search RIGOROUS+NUMERICS
4 NUMERICAL VERIFICATION 802643 5% 50% 38 Search NUMERICAL+VERIFICATION Search NUMERICAL+VERIFICATION
5 ISOLATED INVARIANT SET 460010 2% 78% 14 Search ISOLATED+INVARIANT+SET Search ISOLATED+INVARIANT+SET
6 INDEX PAIR 393213 1% 85% 11 Search INDEX+PAIR Search INDEX+PAIR
7 ISOLATING SEGMENTS 357844 2% 71% 12 Search ISOLATING+SEGMENTS Search ISOLATING+SEGMENTS
8 TOPOLOGICAL HORSESHOES 324967 1% 77% 10 Search TOPOLOGICAL+HORSESHOES Search TOPOLOGICAL+HORSESHOES
9 NUMERICAL VERIFICATION METHOD 300417 1% 89% 8 Search NUMERICAL+VERIFICATION+METHOD Search NUMERICAL+VERIFICATION+METHOD
10 COVERING RELATIONS 244419 1% 64% 9 Search COVERING+RELATIONS Search COVERING+RELATIONS

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 14804 ORBIT FLIP//INCLINATION FLIP//T POINT
2 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
3 19106 PERSISTENT HOMOLOGY//TOPOLOGICAL DATA ANALYSIS//COMPUTATIONAL TOPOLOGY
4 23884 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS
5 6991 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
6 13607 MASLOV TYPE INDEX//CLOSED CHARACTERISTICS//BRAKE ORBITS
7 8523 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
8 17935 HAWAIIAN EARRING//STRONG SHAPE//COARSE SHAPE
9 15059 INTERVAL ARITHMETIC//INTERVAL COMPUTATION//INTERVAL ANALYSIS
10 21941 CHAOTIC SCATTERING//ESCAPES//ESCAPE DYNAMICS

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