Class information for:
Level 1: JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM

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
22 4 AUTOMATION & CONTROL SYSTEMS//ENGINEERING, CIVIL//ACOUSTICS 457813
151 3       AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//INTERNATIONAL JOURNAL OF CONTROL 64927
4177 2             JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM 586
22453 1                   JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM 404

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOINT SPECTRAL RADIUS authKW 3012402 18% 53% 73
2 GENERALIZED SPECTRAL RADIUS authKW 1301967 5% 76% 22
3 EXTREMAL NORM authKW 1097029 4% 94% 15
4 BARABANOV NORM authKW 702100 2% 100% 9
5 FINITENESS PROPERTY authKW 589952 3% 69% 11
6 FINITENESS CONJECTURE authKW 526570 2% 75% 9
7 LOWER SPECTRAL RADIUS authKW 401198 1% 86% 6
8 JOINT GENERALIZED SPECTRAL RADIUS authKW 390055 1% 100% 5
9 TIME VARYING DISCRETE LINEAR SYSTEMS authKW 390055 1% 100% 5
10 CHARACTERISTIC EXPONENTS authKW 354585 2% 45% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8504 62% 0% 252
2 Mathematics, Applied 4240 41% 0% 165
3 Automation & Control Systems 2472 17% 0% 67
4 Multidisciplinary Sciences 245 4% 0% 18
5 Instruments & Instrumentation 69 5% 0% 20
6 Engineering, Electrical & Electronic 35 8% 0% 33
7 Computer Science, Theory & Methods 28 3% 0% 12
8 Ethnic Studies 28 0% 0% 2
9 Operations Research & Management Science 24 2% 0% 9
10 Mathematics, Interdisciplinary Applications 18 2% 0% 8

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMBINATORIAL STRUCT ALGORITHMS GRP 78011 0% 100% 1
2 DAMASTOWN IND ESTATE 78011 0% 100% 1
3 AUTOMAT CONTROL ELECT COMP SCI 55308 2% 7% 10
4 DIPARTIMENTO INGN SCI INFORMAT MATEMAT 50145 1% 21% 3
5 ICTEAM 26041 3% 3% 12
6 INTERNEURAL COMP 24000 0% 15% 2
7 TUCS TURKU COMP SCI 16420 0% 11% 2
8 MECH MATH 14721 6% 1% 25
9 INFORMAT TRANSMISS PROBLEMS 10438 3% 1% 13
10 COORDINATE SCI 9750 0% 13% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIFFERENTIAL EQUATIONS 170305 23% 2% 92
2 LINEAR ALGEBRA AND ITS APPLICATIONS 31654 17% 1% 69
3 AUTOMATION AND REMOTE CONTROL 8034 5% 1% 20
4 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 7048 3% 1% 14
5 DOKLADY AKADEMII NAUK BELARUSI 4571 3% 0% 13
6 SBORNIK MATHEMATICS 2387 2% 0% 7
7 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 2224 1% 1% 5
8 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 1686 1% 1% 3
9 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 1561 1% 1% 3
10 SYSTEMS & CONTROL LETTERS 1517 2% 0% 9

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 JOINT SPECTRAL RADIUS 3012402 18% 53% 73 Search JOINT+SPECTRAL+RADIUS Search JOINT+SPECTRAL+RADIUS
2 GENERALIZED SPECTRAL RADIUS 1301967 5% 76% 22 Search GENERALIZED+SPECTRAL+RADIUS Search GENERALIZED+SPECTRAL+RADIUS
3 EXTREMAL NORM 1097029 4% 94% 15 Search EXTREMAL+NORM Search EXTREMAL+NORM
4 BARABANOV NORM 702100 2% 100% 9 Search BARABANOV+NORM Search BARABANOV+NORM
5 FINITENESS PROPERTY 589952 3% 69% 11 Search FINITENESS+PROPERTY Search FINITENESS+PROPERTY
6 FINITENESS CONJECTURE 526570 2% 75% 9 Search FINITENESS+CONJECTURE Search FINITENESS+CONJECTURE
7 LOWER SPECTRAL RADIUS 401198 1% 86% 6 Search LOWER+SPECTRAL+RADIUS Search LOWER+SPECTRAL+RADIUS
8 JOINT GENERALIZED SPECTRAL RADIUS 390055 1% 100% 5 Search JOINT+GENERALIZED+SPECTRAL+RADIUS Search JOINT+GENERALIZED+SPECTRAL+RADIUS
9 TIME VARYING DISCRETE LINEAR SYSTEMS 390055 1% 100% 5 Search TIME+VARYING+DISCRETE+LINEAR+SYSTEMS Search TIME+VARYING+DISCRETE+LINEAR+SYSTEMS
10 CHARACTERISTIC EXPONENTS 354585 2% 45% 10 Search CHARACTERISTIC+EXPONENTS Search CHARACTERISTIC+EXPONENTS

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 3604 SWITCHED SYSTEMS//AVERAGE DWELL TIME//SWITCHED LINEAR SYSTEMS
2 5290 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
3 32960 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//STRATIFIED SET
4 11893 EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY
5 14774 WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION
6 23999 ALMOST EVERYWHERE STABILITY//BORGS CRITERION//CONTRACTION METRIC
7 18546 INVARIANT SUBSPACE//TRIANGULARIZABILITY//EXTENDED EIGENVALUE
8 35983 SHIP POWER PLANTS//AIR INDEPENDENT SYSTEM//APPROXIMATE DUAL DYNAMIC PROGRAMMING
9 13300 POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS//POSITIVE REALIZATION
10 25664 EVENTUALLY NONNEGATIVE MATRICES//EVENTUALLY NONNEGATIVE MATRIX//NONMAXIMAL EIGENVALUES

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