Class information for:
Level 1: METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//NON OSCILLATIONS

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
238 3       JOURNAL OF WIND ENGINEERING AND INDUSTRIAL AERODYNAMICS//JOURNAL OF SOUND AND VIBRATION//MECHANICS 47762
1386 2             STOCHASTIC AVERAGING//NONLINEAR ENERGY SINK//JOURNAL OF SOUND AND VIBRATION 8375
35228 1                   METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//NON OSCILLATIONS 115

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION authKW 1492108 6% 78% 7
2 MATH INFORMAT COMP address 626422 3% 57% 4
3 NON OSCILLATIONS authKW 616636 3% 75% 3
4 GENERAL METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION authKW 548123 2% 100% 2
5 LARGE DAMPING authKW 548123 2% 100% 2
6 LYAPUNOV TYPE THEOREMS authKW 548123 2% 100% 2
7 ABSOLUTE STABILITY WITH TIME DELAY authKW 274061 1% 100% 1
8 ABSOLUTE STABILITY WITHIN HURWITZ SECTIONAL REGION authKW 274061 1% 100% 1
9 DAMPED FORCED VIBRATIONS authKW 274061 1% 100% 1
10 DETERMINISTIC AND STOCHASTIC SYSTEMS authKW 274061 1% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mechanics 626 26% 0% 30
2 Automation & Control Systems 625 16% 0% 18
3 Mathematics, Applied 614 30% 0% 34
4 Engineering, Mechanical 457 21% 0% 24
5 Acoustics 335 10% 0% 12
6 Mathematics 311 23% 0% 27
7 Mathematics, Interdisciplinary Applications 123 8% 0% 9
8 Engineering, General 29 4% 0% 5
9 Multidisciplinary Sciences 22 3% 0% 3
10 Engineering, Geological 21 2% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH INFORMAT COMP 626422 3% 57% 4
2 HIGHER MATH INFORMAT COMP 274061 1% 100% 1
3 HIGHER MATH 161920 11% 5% 13
4 LANDSC E DESIGN MANAGEMENT 14422 1% 5% 1
5 MOSCOW STATE ELECT MATH 3043 1% 1% 1
6 DIPARTIMENTO INFORMAT PLICAZ 1028 1% 0% 1
7 CINVESTAV 848 3% 0% 3
8 AUTOMAT CONTROL 642 3% 0% 3
9 MATH 302 20% 0% 23
10 DIPARTIMENTO MATEMAT INFORMAT 297 2% 0% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES 11309 3% 1% 3
2 JOURNAL OF THE ENGINEERING MECHANICS DIVISION-ASCE 11257 3% 1% 3
3 ADVANCES IN VIBRATION ENGINEERING 5292 2% 1% 2
4 APPLIED MATHEMATICS LETTERS 2471 6% 0% 7
5 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 2295 4% 0% 5
6 JOURNAL OF SOUND AND VIBRATION 2120 10% 0% 11
7 AUTOMATION AND REMOTE CONTROL 1763 4% 0% 5
8 DIFFERENTIAL EQUATIONS 1759 4% 0% 5
9 JOURNAL OF STRUCTURAL MECHANICS 1700 1% 1% 1
10 AVTOMATIKA 1610 1% 1% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION 1492108 6% 78% 7 Search METHOD+OF+LYAPUNOV+FUNCTIONALS+CONSTRUCTION Search METHOD+OF+LYAPUNOV+FUNCTIONALS+CONSTRUCTION
2 NON OSCILLATIONS 616636 3% 75% 3 Search NON+OSCILLATIONS Search NON+OSCILLATIONS
3 GENERAL METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION 548123 2% 100% 2 Search GENERAL+METHOD+OF+LYAPUNOV+FUNCTIONALS+CONSTRUCTION Search GENERAL+METHOD+OF+LYAPUNOV+FUNCTIONALS+CONSTRUCTION
4 LARGE DAMPING 548123 2% 100% 2 Search LARGE+DAMPING Search LARGE+DAMPING
5 LYAPUNOV TYPE THEOREMS 548123 2% 100% 2 Search LYAPUNOV+TYPE+THEOREMS Search LYAPUNOV+TYPE+THEOREMS
6 ABSOLUTE STABILITY WITH TIME DELAY 274061 1% 100% 1 Search ABSOLUTE+STABILITY+WITH+TIME+DELAY Search ABSOLUTE+STABILITY+WITH+TIME+DELAY
7 ABSOLUTE STABILITY WITHIN HURWITZ SECTIONAL REGION 274061 1% 100% 1 Search ABSOLUTE+STABILITY+WITHIN+HURWITZ+SECTIONAL+REGION Search ABSOLUTE+STABILITY+WITHIN+HURWITZ+SECTIONAL+REGION
8 DAMPED FORCED VIBRATIONS 274061 1% 100% 1 Search DAMPED+FORCED+VIBRATIONS Search DAMPED+FORCED+VIBRATIONS
9 DETERMINISTIC AND STOCHASTIC SYSTEMS 274061 1% 100% 1 Search DETERMINISTIC+AND+STOCHASTIC+SYSTEMS Search DETERMINISTIC+AND+STOCHASTIC+SYSTEMS
10 GENERAL METHOD OF LYAPUNOV FUNCTIONAL CONSTRUCTION 274061 1% 100% 1 Search GENERAL+METHOD+OF+LYAPUNOV+FUNCTIONAL+CONSTRUCTION Search GENERAL+METHOD+OF+LYAPUNOV+FUNCTIONAL+CONSTRUCTION

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 37036 ARBUSCULAR MYCORRHIZAE RHIZOBIA DARK SEPTATE ENDOPHYTE//EXPT INTEGRATED STN MANANTIALES//LINEAR SYSTEMS FILTERING
2 11519 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
3 8898 STOCHASTIC DIFFERENTIAL EQUATIONS//MEAN SQUARE STABILITY//STOCHASTIC RUNGE KUTTA METHOD
4 21234 FAST EXCITATION//LYAPUNOV FLOQUET TRANSFORMATION//LIAPUNOV FLOQUET TRANSFORMATION
5 6106 STOCHASTIC AVERAGING//PROBABILISTIC ENGINEERING MECHANICS//STOCHASTIC AVERAGING METHOD
6 15694 FOLLOWER FORCE//DIVERGENCE INSTABILITY//ELASTIC COLUMNS
7 33570 HOLDER METRIC//CONJUGATE FOURIER SERIES//DEGREE OF APPROXIMATION
8 26950 MATH MODELING INFORMAT TECHNOL//PARTIAL CRACK//VISCOELASTIC CYLINDRICAL PANEL
9 14466 RAZUMIKHIN TECHNIQUE//IMPULSIVE DELAY DIFFERENTIAL EQUATION//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
10 30195 COMPUTER AIDED CONTROLLER SYNTHESIS//MODEL MATCHING CONTROLLER//PID AUTOTUNING

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