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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13969 801 21.3 38%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
355 3       PERMANENCE//GLOBAL STABILITY//HOPF BIFURCATION 34946
1877 2             CROSS DIFFUSION//TRAVELING WAVE FRONTS//SPREADING SPEED 6010
13969 1                   CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION 801

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CARRYING SIMPLEX authKW 574042 2% 94% 16
2 MONOTONE SKEW PRODUCT SEMIFLOWS authKW 343081 1% 100% 9
3 EXPONENTIAL SEPARATION authKW 329462 1% 79% 11
4 SKEW PRODUCT SEMIFLOWS authKW 276710 2% 52% 14
5 ESCUELA UNIV INGN TECN CIVIL address 207540 1% 78% 7
6 ESSENTIALLY STRONGLY ORDER PRESERVING SEMIFLOW authKW 190601 1% 100% 5
7 ZHUKOVSKIJ STABILITY authKW 190601 1% 100% 5
8 MONOTONE SYSTEMS authKW 187109 2% 27% 18
9 LOTKA VOLTERRA SYSTEMS authKW 180577 2% 28% 17
10 LIMIT SET TRICHOTOMY authKW 171538 1% 75% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 15208 59% 0% 474
2 Mathematics, Applied 13965 52% 0% 418
3 Automation & Control Systems 299 4% 0% 35
4 Mathematical & Computational Biology 263 4% 0% 29
5 Physics, Mathematical 130 4% 0% 34
6 Multidisciplinary Sciences 52 2% 0% 13
7 Mathematics, Interdisciplinary Applications 42 2% 0% 17
8 Mechanics 31 3% 0% 26
9 Biology 31 2% 0% 20
10 Operations Research & Management Science 12 1% 0% 11

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ESCUELA UNIV INGN TECN CIVIL 207540 1% 78% 7
2 WU WEN TSUN 152481 0% 100% 4
3 EU EDUC 114360 0% 100% 3
4 DIDACT CIENCIAS EXPT SOCIALES MATEMAT 101651 0% 67% 4
5 GLOBAL EQU LINKED PROD 76240 0% 100% 2
6 ANAL MATEMAT DIACT MATEMAT 38120 0% 100% 1
7 ANAL MATEMAT DIDOCT MATEMAT 38120 0% 100% 1
8 ANAL MATEMAT GEOMETR SISTEMAS DINAM 38120 0% 100% 1
9 ANGEW MATH SONDERFOR BEREICH 123 38120 0% 100% 1
10 CONTROL INTELLIGENT PROC EXCELLENCEADV CON 38120 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF DIFFERENTIAL EQUATIONS 51906 12% 1% 99
2 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 12368 1% 3% 12
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 7112 3% 1% 25
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6040 7% 0% 58
5 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 5868 2% 1% 20
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 5797 5% 0% 43
7 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 4977 3% 1% 22
8 DIFFERENTIAL EQUATIONS 3659 2% 1% 19
9 NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 3455 2% 1% 15
10 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 3219 0% 2% 4

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 CARRYING SIMPLEX 574042 2% 94% 16 Search CARRYING+SIMPLEX Search CARRYING+SIMPLEX
2 MONOTONE SKEW PRODUCT SEMIFLOWS 343081 1% 100% 9 Search MONOTONE+SKEW+PRODUCT+SEMIFLOWS Search MONOTONE+SKEW+PRODUCT+SEMIFLOWS
3 EXPONENTIAL SEPARATION 329462 1% 79% 11 Search EXPONENTIAL+SEPARATION Search EXPONENTIAL+SEPARATION
4 SKEW PRODUCT SEMIFLOWS 276710 2% 52% 14 Search SKEW+PRODUCT+SEMIFLOWS Search SKEW+PRODUCT+SEMIFLOWS
5 ESSENTIALLY STRONGLY ORDER PRESERVING SEMIFLOW 190601 1% 100% 5 Search ESSENTIALLY+STRONGLY+ORDER+PRESERVING+SEMIFLOW Search ESSENTIALLY+STRONGLY+ORDER+PRESERVING+SEMIFLOW
6 ZHUKOVSKIJ STABILITY 190601 1% 100% 5 Search ZHUKOVSKIJ+STABILITY Search ZHUKOVSKIJ+STABILITY
7 MONOTONE SYSTEMS 187109 2% 27% 18 Search MONOTONE+SYSTEMS Search MONOTONE+SYSTEMS
8 LOTKA VOLTERRA SYSTEMS 180577 2% 28% 17 Search LOTKA+VOLTERRA+SYSTEMS Search LOTKA+VOLTERRA+SYSTEMS
9 LIMIT SET TRICHOTOMY 171538 1% 75% 6 Search LIMIT+SET+TRICHOTOMY Search LIMIT+SET+TRICHOTOMY
10 BERNFELD HADDOCK CONJECTURE 152481 0% 100% 4 Search BERNFELD+HADDOCK+CONJECTURE Search BERNFELD+HADDOCK+CONJECTURE

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 HU, HX , JIANG, JF , (2010) TRANSLATION-INVARIANT MONOTONE SYSTEMS, I: AUTONOMOUS/PERIODIC CASE.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 11. ISSUE 4. P. 3211-3217 33 94% 4
2 HU, HX , JIANG, JF , (2010) TRANSLATION-INVARIANT MONOTONE SYSTEMS II: ALMOST PERIODIC/AUTOMORPHIC CASE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 138. ISSUE 11. P. 3997-4007 31 94% 4
3 JIANG, J , ZHAO, XQ , (2005) CONVERGENCE IN MONOTONE AND UNIFORMLY STABLE SKEW-PRODUCT SEMIFLOWS WITH APPLICATIONS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 589. ISSUE . P. 21-55 30 94% 30
4 NOVO, S , OBAYA, R , (2013) NON-AUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS.STABILITY AND BIFURCATION THEORY FOR NON-AUTONOMOUS DIFFERENTIAL EQUATIONS, CETRARO, ITALY 2011. VOL. 2065. ISSUE . P. 185 -263 39 57% 3
5 CAO, F , GYLLENBERG, M , WANG, Y , (2011) ASYMPTOTIC BEHAVIOUR OF COMPARABLE SKEW-PRODUCT SEMIFLOWS WITH APPLICATIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 103. ISSUE . P. 271 -293 25 86% 2
6 JIANG, JF , NIU, L , WANG, Y , (2016) ON HETEROCLINIC CYCLES OF COMPETITIVE MAPS VIA CARRYING SIMPLICES.JOURNAL OF MATHEMATICAL BIOLOGY. VOL. 72. ISSUE 4. P. 939 -972 25 74% 0
7 LIU, Q , WANG, Y , (2012) PHASE-TRANSLATION GROUP ACTIONS ON STRONGLY MONOTONE SKEW-PRODUCT SEMIFLOWS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 364. ISSUE 7. P. 3781 -3804 26 72% 1
8 FIEDLER, B , ROCHA, C , WOLFRUM, M , (2012) STURM GLOBAL ATTRACTORS FOR S-1-EQUIVARIANT PARABOLIC EQUATIONS.NETWORKS AND HETEROGENEOUS MEDIA. VOL. 7. ISSUE 4. P. 617-659 19 95% 3
9 YI, TS , LIU, BW , LI, QG , (2009) CONVERGENCE FOR ESSENTIALLY STRONGLY INCREASING DISCRETE TIME SEMI-FLOWS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 39. ISSUE 3. P. 1013 -1034 21 91% 0
10 SMITH, HL , (2017) MONOTONE DYNAMICAL SYSTEMS: REFLECTIONS ON NEW ADVANCES & APPLICATIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 37. ISSUE 1. P. 485 -504 33 48% 0

Classes with closest relation at Level 1


Rank Class id link
1 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
2 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR
3 834 POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM
4 22378 HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM
5 20486 COMPACT INVARIANT SET//FINITE DIMENSIONAL POISSON SYSTEMS//QUASI POLYNOMIAL SYSTEMS
6 8427 STATE DEPENDENT DELAY//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
7 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR
8 8965 CHEMICAL REACTION NETWORKS//MASS ACTION KINETICS//ULTRASENSITIVITY
9 31607 NON LOCAL HAMILTONIAN FIELD THEORY//CONLEY MOSER CONDITION//COULOMBIAN AND NEWTONIAN FLUIDS
10 12440 EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY

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