Class information for:
Level 1: RAZUMIKHIN TECHNIQUE//IMPULSIVE DELAY DIFFERENTIAL EQUATION//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

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
376 3       MATHEMATICS, APPLIED//GLOBAL STABILITY//PERMANENCE 34459
1723 2             OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION 6920
14466 1                   RAZUMIKHIN TECHNIQUE//IMPULSIVE DELAY DIFFERENTIAL EQUATION//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS 798

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RAZUMIKHIN TECHNIQUE authKW 858099 5% 56% 39
2 IMPULSIVE DELAY DIFFERENTIAL EQUATION authKW 459550 2% 73% 16
3 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS authKW 417117 3% 41% 26
4 STABILITY IN TERMS OF TWO MEASURES authKW 329108 1% 83% 10
5 VARIATIONAL LYAPUNOV METHOD authKW 319894 1% 90% 9
6 IMPULSE authKW 305085 10% 9% 82
7 TWO MEASURES authKW 303790 1% 77% 10
8 CONE VALUED LYAPUNOV FUNCTIONS authKW 276453 1% 100% 7
9 P MOMENT STABILITY authKW 210626 1% 67% 8
10 PERTURBING LYAPUNOV FUNCTIONS authKW 197467 1% 100% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 28473 74% 0% 591
2 Mathematics 7490 42% 0% 337
3 Automation & Control Systems 1226 9% 0% 68
4 Mathematics, Interdisciplinary Applications 341 5% 0% 41
5 Physics, Mathematical 60 3% 0% 25
6 Computer Science, Interdisciplinary Applications 27 2% 0% 18
7 Computer Science, Software Engineering 23 2% 0% 14
8 Engineering, General 20 2% 0% 14
9 Mechanics 18 3% 0% 22
10 Operations Research & Management Science 16 2% 0% 12

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PL MATH MODELING 45854 1% 19% 6
2 CIENCIA MATEMAT COMPUT 39493 0% 100% 1
3 DEPARTMENT SOCIAL PL SCI 39493 0% 100% 1
4 FO TRY ENGN MOBILE STN 39493 0% 100% 1
5 INFORMAT ELECT ENGN ICE 39493 0% 100% 1
6 NONMET DESIGN 39493 0% 100% 1
7 OPERAT MANAGEMENT OPTIMIZAT 39493 0% 100% 1
8 SCI ESENLER ISTANBUL 39493 0% 100% 1
9 TIMOSHENKO MATH 39493 0% 100% 1
10 MATH INFROMAT SCI 19746 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS 36972 4% 3% 29
2 APPLIED MATHEMATICS AND COMPUTATION 11793 9% 0% 73
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 11128 10% 0% 78
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 10845 7% 0% 58
5 DYNAMIC SYSTEMS AND APPLICATIONS 10371 2% 2% 13
6 ADVANCES IN DIFFERENCE EQUATIONS 8025 3% 1% 22
7 NONLINEAR OSCILLATIONS 7340 1% 5% 4
8 APPLIED MATHEMATICS LETTERS 6517 4% 1% 30
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 6404 5% 0% 40
10 ABSTRACT AND APPLIED ANALYSIS 5573 3% 1% 25

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RAZUMIKHIN TECHNIQUE 858099 5% 56% 39 Search RAZUMIKHIN+TECHNIQUE Search RAZUMIKHIN+TECHNIQUE
2 IMPULSIVE DELAY DIFFERENTIAL EQUATION 459550 2% 73% 16 Search IMPULSIVE+DELAY+DIFFERENTIAL+EQUATION Search IMPULSIVE+DELAY+DIFFERENTIAL+EQUATION
3 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS 417117 3% 41% 26 Search IMPULSIVE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search IMPULSIVE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS
4 STABILITY IN TERMS OF TWO MEASURES 329108 1% 83% 10 Search STABILITY+IN+TERMS+OF+TWO+MEASURES Search STABILITY+IN+TERMS+OF+TWO+MEASURES
5 VARIATIONAL LYAPUNOV METHOD 319894 1% 90% 9 Search VARIATIONAL+LYAPUNOV+METHOD Search VARIATIONAL+LYAPUNOV+METHOD
6 IMPULSE 305085 10% 9% 82 Search IMPULSE Search IMPULSE
7 TWO MEASURES 303790 1% 77% 10 Search TWO+MEASURES Search TWO+MEASURES
8 CONE VALUED LYAPUNOV FUNCTIONS 276453 1% 100% 7 Search CONE+VALUED+LYAPUNOV+FUNCTIONS Search CONE+VALUED+LYAPUNOV+FUNCTIONS
9 P MOMENT STABILITY 210626 1% 67% 8 Search P+MOMENT+STABILITY Search P+MOMENT+STABILITY
10 PERTURBING LYAPUNOV FUNCTIONS 197467 1% 100% 5 Search PERTURBING+LYAPUNOV+FUNCTIONS Search PERTURBING+LYAPUNOV+FUNCTIONS

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 10975 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//IMPULSIVE INTEGRO DIFFERENTIAL EQUATION
2 24367 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
3 11519 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
4 38135 IMPULSIVE SEMIDYNAMICAL SYSTEMS//ZHUKOVSKIJ STABILITY//IMPULSIVE DYNAMICAL SYSTEM
5 30470 CAUSAL EQUATIONS//CRITICAL CASES OF STABILITY//FIRST LYAPUNOVS METHOD
6 25510 PARTIAL DIFFERENCE EQUATIONS//PARTIAL DIFFERENCE EQUATION//DISCRETE SPATIOTEMPORAL SYSTEM
7 302 GLOBAL EXPONENTIAL STABILITY//TIME VARYING DELAY//COHEN GROSSBERG NEURAL NETWORKS
8 3752 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY
9 2916 POSITIVE PERIODIC SOLUTION//PERMANENCE//GLOBAL ATTRACTIVITY
10 38050 RESET CONTROL//RESET CONTROL SYSTEMS//RESET LAW

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