Class information for:
Level 1: GENERAL DECAY//RELAXATION FUNCTION//ENERGY DECAY

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
587 3       PROPER ORTHOGONAL DECOMPOSITION//SIAM JOURNAL ON CONTROL AND OPTIMIZATION//DISTRIBUTED PARAMETER SYSTEMS 15113
1712 2             CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY 6970
599 1                   GENERAL DECAY//RELAXATION FUNCTION//ENERGY DECAY 3286

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GENERAL DECAY authKW 814710 3% 90% 94
2 RELAXATION FUNCTION authKW 568544 3% 71% 84
3 ENERGY DECAY authKW 490213 2% 66% 78
4 WAVE EQUATION authKW 479931 9% 18% 284
5 EXPONENTIAL DECAY authKW 461854 4% 35% 139
6 POLYNOMIAL DECAY authKW 429582 2% 80% 56
7 TIMOSHENKO SYSTEM authKW 340947 1% 89% 40
8 ACOUSTIC BOUNDARY CONDITIONS authKW 301198 1% 90% 35
9 PLATE EQUATION authKW 252441 1% 63% 42
10 UNIFORM STABILIZATION authKW 251771 1% 82% 32

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 101620 69% 0% 2269
2 Mathematics 44983 51% 0% 1664
3 Automation & Control Systems 10190 12% 0% 392
4 Mechanics 148 3% 0% 112
5 Operations Research & Management Science 127 2% 0% 62
6 Mathematics, Interdisciplinary Applications 125 2% 0% 62
7 Computer Science, Cybernetics 101 1% 0% 20
8 Physics, Mathematical 87 2% 0% 71
9 Computer Science, Information Systems 51 2% 0% 55
10 Engineering, General 27 1% 0% 41

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SCI TECH VALENCIENNES 116644 1% 36% 34
2 UNIV NAT SCI 86853 1% 28% 32
3 EDUC ACCREDITAT 79908 0% 83% 10
4 FR CNRS 2956 74609 1% 32% 24
5 RECH MATH AVANCEE 69981 2% 12% 63
6 PROGRAMA POS MATEMAT ESTAT 47947 0% 100% 5
7 LAMAV 43446 1% 13% 35
8 UR ANAL CONTROL PDEUR 13ES64 39954 0% 83% 5
9 ANAL CONTROL PARTIAL DIFFERENTIAL EQUAT 30684 0% 80% 4
10 EQUIPE EDP AN 30684 0% 80% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EVOLUTION EQUATIONS AND CONTROL THEORY 64487 1% 19% 35
2 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 54360 4% 4% 146
3 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 43070 4% 3% 134
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 37857 7% 2% 220
5 APPLIED MATHEMATICS AND OPTIMIZATION 24491 2% 5% 54
6 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 24008 1% 6% 45
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 23988 7% 1% 233
8 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 23948 3% 3% 90
9 JOURNAL OF DIFFERENTIAL EQUATIONS 20669 4% 2% 127
10 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 16081 1% 6% 28

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GENERAL DECAY 814710 3% 90% 94 Search GENERAL+DECAY Search GENERAL+DECAY
2 RELAXATION FUNCTION 568544 3% 71% 84 Search RELAXATION+FUNCTION Search RELAXATION+FUNCTION
3 ENERGY DECAY 490213 2% 66% 78 Search ENERGY+DECAY Search ENERGY+DECAY
4 WAVE EQUATION 479931 9% 18% 284 Search WAVE+EQUATION Search WAVE+EQUATION
5 EXPONENTIAL DECAY 461854 4% 35% 139 Search EXPONENTIAL+DECAY Search EXPONENTIAL+DECAY
6 POLYNOMIAL DECAY 429582 2% 80% 56 Search POLYNOMIAL+DECAY Search POLYNOMIAL+DECAY
7 TIMOSHENKO SYSTEM 340947 1% 89% 40 Search TIMOSHENKO+SYSTEM Search TIMOSHENKO+SYSTEM
8 ACOUSTIC BOUNDARY CONDITIONS 301198 1% 90% 35 Search ACOUSTIC+BOUNDARY+CONDITIONS Search ACOUSTIC+BOUNDARY+CONDITIONS
9 PLATE EQUATION 252441 1% 63% 42 Search PLATE+EQUATION Search PLATE+EQUATION
10 UNIFORM STABILIZATION 251771 1% 82% 32 Search UNIFORM+STABILIZATION Search UNIFORM+STABILIZATION

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 7223 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES
2 28636 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
3 25626 DOUBLE DISPERSION EQUATION//BOUSSINESQ EQUATION//DAMPED BOUSSINESQ EQUATION
4 9876 INFINITE DIMENSIONAL SYSTEMS//WELL POSED LINEAR SYSTEM//REGULAR LINEAR SYSTEM
5 12863 NULL CONDITION//SEMILINEAR WAVE EQUATION//SEMILINEAR DAMPED WAVE EQUATION
6 33166 CONTROLLABILITY PROBLEM//HALF AXIS//INFLUENCE OPERATOR
7 25884 MAGNETO VISCOELASTIC MATERIALS//MATERIALS WITH MEMORY//BICHARACTERISTIC STRIP
8 19704 EXACT BOUNDARY CONTROLLABILITY//EXACT BOUNDARY OBSERVABILITY//ISOTHERMAL EULER EQUATIONS
9 23270 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//EXTERIOR REGIONS
10 12459 DISTRIBUTED PARAMETER SYSTEMS//BOUNDARY CONTROL//BEIHANG UNIV

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