Class information for:
Level 1: IMPULSIVE SEMIDYNAMICAL SYSTEMS//ZHUKOVSKIJ STABILITY//IMPULSIVE DYNAMICAL SYSTEM

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
887 2             PERMANENCE//HOPF BIFURCATION//PREDATOR PREY SYSTEM 11587
38135 1                   IMPULSIVE SEMIDYNAMICAL SYSTEMS//ZHUKOVSKIJ STABILITY//IMPULSIVE DYNAMICAL SYSTEM 69

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IMPULSIVE SEMIDYNAMICAL SYSTEMS authKW 3654161 12% 100% 8
2 ZHUKOVSKIJ STABILITY authKW 2283851 7% 100% 5
3 IMPULSIVE DYNAMICAL SYSTEM authKW 1038108 7% 45% 5
4 COCYCLE ATTRACTORS authKW 913540 3% 100% 2
5 ECUAC DIFERENCIALES ANAL NUMER EDAN address 913540 3% 100% 2
6 LIMIT SET MAP authKW 913540 3% 100% 2
7 SEMIDYNAMICAL SYSTEMS authKW 913536 6% 50% 4
8 POINCARE STABILITY authKW 609025 3% 67% 2
9 ASYMPTOTIC MOTIONS authKW 456770 1% 100% 1
10 C GLOBAL ATTRACTOR authKW 456770 1% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 1314 59% 0% 41
2 Mathematics, Applied 715 41% 0% 28
3 Multidisciplinary Sciences 170 9% 0% 6
4 Automation & Control Systems 75 7% 0% 5
5 Mechanics 49 10% 0% 7
6 Physics, Multidisciplinary 17 9% 0% 6
7 Physics, Mathematical 12 4% 0% 3
8 Operations Research & Management Science 8 3% 0% 2
9 Mathematics, Interdisciplinary Applications 8 3% 0% 2
10 Statistics & Probability 1 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ECUAC DIFERENCIALES ANAL NUMER EDAN 913540 3% 100% 2
2 FILOSOFIA CIENCIAIS LETRAS RIBEIRAO PRETO 456770 1% 100% 1
3 CIENCIAS MATEMAT COMP 255282 23% 3% 16
4 CIENCIAS MATEMAT COMPUT 152255 1% 33% 1
5 NONLINEAR SYST 73072 9% 3% 6
6 CIENCIAS MATEMAT COMPUTACAO 69962 9% 3% 6
7 ACFR 35134 1% 8% 1
8 DORODNITSYN COMP 17233 3% 2% 2
9 ECUAC DIFERENCIALES ANAL NUMER 7804 3% 1% 2
10 AEROSP MECH MECH ENGN 3215 1% 1% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 23954 6% 1% 4
2 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 18261 7% 1% 5
3 JOURNAL OF DIFFERENTIAL EQUATIONS 4986 13% 0% 9
4 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 3917 3% 0% 2
5 DOKLADY PHYSICS 3138 6% 0% 4
6 PUBLICATIONES MATHEMATICAE-DEBRECEN 2087 4% 0% 3
7 JOURNAL OF MODERN DYNAMICS 1862 1% 0% 1
8 UKRAINIAN MATHEMATICAL JOURNAL 1765 3% 0% 2
9 COLLECTANEA MATHEMATICA 1471 1% 0% 1
10 GEORGIAN MATHEMATICAL JOURNAL 910 1% 0% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 IMPULSIVE SEMIDYNAMICAL SYSTEMS 3654161 12% 100% 8 Search IMPULSIVE+SEMIDYNAMICAL+SYSTEMS Search IMPULSIVE+SEMIDYNAMICAL+SYSTEMS
2 ZHUKOVSKIJ STABILITY 2283851 7% 100% 5 Search ZHUKOVSKIJ+STABILITY Search ZHUKOVSKIJ+STABILITY
3 IMPULSIVE DYNAMICAL SYSTEM 1038108 7% 45% 5 Search IMPULSIVE+DYNAMICAL+SYSTEM Search IMPULSIVE+DYNAMICAL+SYSTEM
4 COCYCLE ATTRACTORS 913540 3% 100% 2 Search COCYCLE+ATTRACTORS Search COCYCLE+ATTRACTORS
5 LIMIT SET MAP 913540 3% 100% 2 Search LIMIT+SET+MAP Search LIMIT+SET+MAP
6 SEMIDYNAMICAL SYSTEMS 913536 6% 50% 4 Search SEMIDYNAMICAL+SYSTEMS Search SEMIDYNAMICAL+SYSTEMS
7 POINCARE STABILITY 609025 3% 67% 2 Search POINCARE+STABILITY Search POINCARE+STABILITY
8 ASYMPTOTIC MOTIONS 456770 1% 100% 1 Search ASYMPTOTIC+MOTIONS Search ASYMPTOTIC+MOTIONS
9 C GLOBAL ATTRACTOR 456770 1% 100% 1 Search C+GLOBAL+ATTRACTOR Search C+GLOBAL+ATTRACTOR
10 CENTER OF LEVINSON 456770 1% 100% 1 Search CENTER+OF+LEVINSON Search CENTER+OF+LEVINSON

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 35120 INCREMENTAL STABILITY//CONTRACTION THEORY//NONLINEAR SYST
2 14860 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
3 10975 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//IMPULSIVE INTEGRO DIFFERENTIAL EQUATION
4 20644 INVARIANCE ENTROPY//LIE SEMIGROUPS//SEMI SIMPLE LIE GROUPS
5 14466 RAZUMIKHIN TECHNIQUE//IMPULSIVE DELAY DIFFERENTIAL EQUATION//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
6 23999 ALMOST EVERYWHERE STABILITY//BORGS CRITERION//CONTRACTION METRIC
7 27664 CHAOTIFICATION//ANTICONTROL//ANTICONTROL OF CHAOS
8 3927 PULLBACK ATTRACTOR//RANDOM ATTRACTOR//GLOBAL ATTRACTOR
9 21648 PAIRS TRADING//SINGULAR STOCHASTIC CONTROL//SELLING RULE
10 1052 PREDATOR PREY SYSTEM//PREDATOR PREY MODEL//STAGE STRUCTURE

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