Class information for:
Level 1: ADJOINT FLOQUET SOLUTIONS//NATURAL STABILIZATION//STABILITY IN NONLINEAR APPROXIMATION

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
2773 2             CONTROL SETS//OPTIMAL CONTROL//OCCUPATIONAL MEASURES 3387
36409 1                   ADJOINT FLOQUET SOLUTIONS//NATURAL STABILIZATION//STABILITY IN NONLINEAR APPROXIMATION 98

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ADJOINT FLOQUET SOLUTIONS authKW 643206 2% 100% 2
2 NATURAL STABILIZATION authKW 643206 2% 100% 2
3 STABILITY IN NONLINEAR APPROXIMATION authKW 643206 2% 100% 2
4 PERIODIC PERTURBATIONS authKW 467781 4% 36% 4
5 ASYMPTOTIC ORBITAL STABLE CYCLE authKW 321603 1% 100% 1
6 AUTONOMOUS PARABOLIC EQUATIONS authKW 321603 1% 100% 1
7 AVERAGED POTENTIAL authKW 321603 1% 100% 1
8 COUPLING CONTROLS authKW 321603 1% 100% 1
9 EQUATION OF NEUTRAL TYPE authKW 321603 1% 100% 1
10 FAMILY OF PERIODIC SOLUTIONS authKW 321603 1% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Automation & Control Systems 1220 23% 0% 23
2 Mathematics 1045 45% 0% 44
3 Mathematics, Applied 825 37% 0% 36
4 Instruments & Instrumentation 394 20% 0% 20
5 Computer Science, Cybernetics 177 4% 0% 4
6 Mechanics 148 14% 0% 14
7 Multidisciplinary Sciences 116 6% 0% 6
8 Computer Science, Artificial Intelligence 17 4% 0% 4
9 Computer Science, Theory & Methods 15 4% 0% 4
10 Physics, Mathematical 2 2% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TR EZNIKOV CONTROL SCI 85432 13% 2% 13
2 IRKUTSK COMP 32158 1% 10% 1
3 CONTROL SCI AUTOMAT TELEMECH 17865 1% 6% 1
4 DIPARTIMENTO INGN INFORMAZ SCI MATEMAT 16703 2% 3% 2
5 TIMOSHENKO MECH 16489 2% 3% 2
6 DIPARTIMENTO INGN INFORMAZ 14646 11% 0% 11
7 MATEMAT ESTAT COMP 12862 1% 4% 1
8 PL MATH CONTROL PROC 10898 2% 2% 2
9 MATH ELIE CARTAN 6066 1% 2% 1
10 SYST DYNAM CONTROL THEORY 5121 2% 1% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AUTOMATION AND REMOTE CONTROL 33244 20% 1% 20
2 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 22633 12% 1% 12
3 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 4534 4% 0% 4
4 DIFFERENTIAL EQUATIONS 4055 7% 0% 7
5 SIBERIAN MATHEMATICAL JOURNAL 3724 6% 0% 6
6 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 2054 2% 0% 2
7 DOKLADY AKADEMII NAUK 1284 6% 0% 6
8 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 951 3% 0% 3
9 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 868 2% 0% 2
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 726 7% 0% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ADJOINT FLOQUET SOLUTIONS 643206 2% 100% 2 Search ADJOINT+FLOQUET+SOLUTIONS Search ADJOINT+FLOQUET+SOLUTIONS
2 NATURAL STABILIZATION 643206 2% 100% 2 Search NATURAL+STABILIZATION Search NATURAL+STABILIZATION
3 STABILITY IN NONLINEAR APPROXIMATION 643206 2% 100% 2 Search STABILITY+IN+NONLINEAR+APPROXIMATION Search STABILITY+IN+NONLINEAR+APPROXIMATION
4 PERIODIC PERTURBATIONS 467781 4% 36% 4 Search PERIODIC+PERTURBATIONS Search PERIODIC+PERTURBATIONS
5 ASYMPTOTIC ORBITAL STABLE CYCLE 321603 1% 100% 1 Search ASYMPTOTIC+ORBITAL+STABLE+CYCLE Search ASYMPTOTIC+ORBITAL+STABLE+CYCLE
6 AUTONOMOUS PARABOLIC EQUATIONS 321603 1% 100% 1 Search AUTONOMOUS+PARABOLIC+EQUATIONS Search AUTONOMOUS+PARABOLIC+EQUATIONS
7 AVERAGED POTENTIAL 321603 1% 100% 1 Search AVERAGED+POTENTIAL Search AVERAGED+POTENTIAL
8 COUPLING CONTROLS 321603 1% 100% 1 Search COUPLING+CONTROLS Search COUPLING+CONTROLS
9 EQUATION OF NEUTRAL TYPE 321603 1% 100% 1 Search EQUATION+OF+NEUTRAL+TYPE Search EQUATION+OF+NEUTRAL+TYPE
10 FAMILY OF PERIODIC SOLUTIONS 321603 1% 100% 1 Search FAMILY+OF+PERIODIC+SOLUTIONS Search FAMILY+OF+PERIODIC+SOLUTIONS

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 38536 BOUNDED AND ALMOST PERIODIC SOLUTIONS//ALMOST PERIODIC FUNCTIONAL EQUATION//ALMOST PERIODIC OPERATOR
2 35120 INCREMENTAL STABILITY//CONTRACTION THEORY//NONLINEAR SYST
3 22881 OCCUPATIONAL MEASURES//CONTROL SETS//APPROXIMATION OF SLOW MOTIONS
4 24367 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
5 18888 PERIODIC OPERATION//FORCED PERIODIC OPERATION//CONCENTRATION FORCING
6 6682 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
7 3856 INPUT TO STATE STABILITY//CONTROL LYAPUNOV FUNCTION//ADDING A POWER INTEGRATOR
8 1903 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
9 13300 POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS//POSITIVE REALIZATION
10 23901 TRUNCATED VARIATION//NON CLASSICAL HEAT EQUATION//PREISACH OPERATOR

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