Class information for:
Level 1: CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION

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
14860 1                   CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION 771

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CARRYING SIMPLEX authKW 697049 2% 95% 18
2 MONOTONE SKEW PRODUCT SEMIFLOWS authKW 367888 1% 100% 9
3 EXPONENTIAL SEPARATION authKW 353284 1% 79% 11
4 ESCUELA UNIV INGN TECN CIVIL address 290675 1% 89% 8
5 SKEW PRODUCT SEMIFLOWS authKW 286121 2% 50% 14
6 WU WEN TSUN address 245259 1% 100% 6
7 MONOTONE SYSTEMS authKW 210778 2% 27% 19
8 ESSENTIALLY STRONGLY ORDER PRESERVING SEMIFLOW authKW 204382 1% 100% 5
9 LIMIT SET TRICHOTOMY authKW 183941 1% 75% 6
10 BERNFELD HADDOCK CONJECTURE authKW 163506 1% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 15143 60% 0% 465
2 Mathematics, Applied 14310 54% 0% 415
3 Physics, Mathematical 169 5% 0% 37
4 Mathematical & Computational Biology 162 3% 0% 23
5 Automation & Control Systems 130 3% 0% 24
6 Mathematics, Interdisciplinary Applications 67 3% 0% 20
7 Statistics & Probability 21 2% 0% 14
8 Biology 17 2% 0% 16
9 Multidisciplinary Sciences 15 1% 0% 8
10 Mechanics 14 3% 0% 20

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ESCUELA UNIV INGN TECN CIVIL 290675 1% 89% 8
2 WU WEN TSUN 245259 1% 100% 6
3 EU EDUC 122629 0% 100% 3
4 DIDACT CIENCIAS EXPT SOCIALES MATEMAT 93428 1% 57% 4
5 GLOBAL EQU LINKED PROD 81753 0% 100% 2
6 ANAL MATEMAT DIACT MATEMAT 40876 0% 100% 1
7 ANAL MATEMAT DIDOCT MATEMAT 40876 0% 100% 1
8 ANAL MATEMAT GEOMETR SISTEMAS DINAM 40876 0% 100% 1
9 ANGEW MATH SONDERFOR BEREICH 123 40876 0% 100% 1
10 CNRS SIGNAUX SYST L2S 40876 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL EQUATIONS 51825 13% 1% 97
2 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 16804 2% 3% 14
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 10425 4% 1% 30
4 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 6211 3% 1% 20
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6189 3% 1% 24
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 5316 5% 0% 40
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5087 7% 0% 52
8 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 4654 2% 1% 17
9 DIFFERENTIAL EQUATIONS 4613 3% 1% 21
10 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 3453 1% 2% 4

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CARRYING SIMPLEX 697049 2% 95% 18 Search CARRYING+SIMPLEX Search CARRYING+SIMPLEX
2 MONOTONE SKEW PRODUCT SEMIFLOWS 367888 1% 100% 9 Search MONOTONE+SKEW+PRODUCT+SEMIFLOWS Search MONOTONE+SKEW+PRODUCT+SEMIFLOWS
3 EXPONENTIAL SEPARATION 353284 1% 79% 11 Search EXPONENTIAL+SEPARATION Search EXPONENTIAL+SEPARATION
4 SKEW PRODUCT SEMIFLOWS 286121 2% 50% 14 Search SKEW+PRODUCT+SEMIFLOWS Search SKEW+PRODUCT+SEMIFLOWS
5 MONOTONE SYSTEMS 210778 2% 27% 19 Search MONOTONE+SYSTEMS Search MONOTONE+SYSTEMS
6 ESSENTIALLY STRONGLY ORDER PRESERVING SEMIFLOW 204382 1% 100% 5 Search ESSENTIALLY+STRONGLY+ORDER+PRESERVING+SEMIFLOW Search ESSENTIALLY+STRONGLY+ORDER+PRESERVING+SEMIFLOW
7 LIMIT SET TRICHOTOMY 183941 1% 75% 6 Search LIMIT+SET+TRICHOTOMY Search LIMIT+SET+TRICHOTOMY
8 BERNFELD HADDOCK CONJECTURE 163506 1% 100% 4 Search BERNFELD+HADDOCK+CONJECTURE Search BERNFELD+HADDOCK+CONJECTURE
9 LOTKA VOLTERRA SYSTEMS 148319 2% 24% 15 Search LOTKA+VOLTERRA+SYSTEMS Search LOTKA+VOLTERRA+SYSTEMS
10 PRINCIPAL SPECTRUM 145984 1% 71% 5 Search PRINCIPAL+SPECTRUM Search PRINCIPAL+SPECTRUM

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 38135 IMPULSIVE SEMIDYNAMICAL SYSTEMS//ZHUKOVSKIJ STABILITY//IMPULSIVE DYNAMICAL SYSTEM
2 25231 QUASI POLYNOMIAL SYSTEMS//FINITE DIMENSIONAL POISSON SYSTEMS//HAMILTON POISSON SYSTEM
3 9271 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
4 2916 POSITIVE PERIODIC SOLUTION//PERMANENCE//GLOBAL ATTRACTIVITY
5 23582 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//HILBERTS PROJECTIVE METRIC
6 3927 PULLBACK ATTRACTOR//RANDOM ATTRACTOR//GLOBAL ATTRACTOR
7 8081 STATE DEPENDENT DELAY//HOPF BIFURCATION//DELAY DIFFERENTIAL EQUATIONS
8 22641 EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP
9 33844 NO REGRET CONTROL//STACKELBERG NASH STRATEGIES//HIERARCHIC CONTROL
10 3830 TRAVELING WAVE FRONTS//SPREADING SPEED//NONLOCAL DISPERSAL

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