Class information for:
Level 1: EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
12440 905 20.0 32%



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
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
1287 2             DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 8681
12440 1                   EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY 905

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 EXPONENTIAL DICHOTOMY authKW 2055356 15% 46% 132
2 NONUNIFORM EXPONENTIAL DICHOTOMIES authKW 814558 3% 93% 26
3 UNIFORM EXPONENTIAL STABILITY authKW 764734 4% 67% 34
4 EVOLUTION FAMILY authKW 524056 4% 39% 40
5 EXPONENTIAL TRICHOTOMY authKW 419982 2% 66% 19
6 LINEAR SKEW PRODUCT SEMIFLOWS authKW 371132 1% 100% 11
7 NONUNIFORM EXPONENTIAL TRICHOTOMIES authKW 371132 1% 100% 11
8 DICHOTOMY SPECTRUM authKW 323892 1% 80% 12
9 ADMISSIBILITY OF FUNCTION SPACES authKW 306719 1% 91% 10
10 UNIFORM EXPONENTIAL DICHOTOMY authKW 239922 1% 89% 8

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 28911 76% 0% 690
2 Mathematics, Applied 17669 55% 0% 499
3 Multidisciplinary Sciences 29 1% 0% 11
4 Automation & Control Systems 28 2% 0% 14
5 Physics, Mathematical 26 2% 0% 20
6 Mathematics, Interdisciplinary Applications 7 1% 0% 10
7 Physics, Multidisciplinary 2 3% 0% 23
8 Operations Research & Management Science 1 1% 0% 7
9 Statistics & Probability 1 1% 0% 7
10 Mechanics 0 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 AGFA MATH 67478 0% 100% 2
2 COMP SCI PL INFORMAT 67478 0% 100% 2
3 ARBEITSGRP ANGEW ANAL 60728 0% 60% 3
4 AFDELING WISCUNDE 33739 0% 100% 1
5 DAI HOC BACH KHOA HANOI 33739 0% 100% 1
6 ECON BUSINESS MODELING 33739 0% 100% 1
7 F HMEN ENGN FED 2 33739 0% 100% 1
8 HANOI UNIV SCI TECHNOL 33739 0% 100% 1
9 HGRP MATHEMAT INFORMAT 33739 0% 100% 1
10 INRIA BORDEAUX SUDOUEST ANUBIS 33739 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 47796 11% 1% 101
2 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 20737 3% 2% 31
3 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 17107 2% 3% 15
4 INTEGRAL EQUATIONS AND OPERATOR THEORY 14472 3% 1% 31
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 8961 8% 0% 75
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 8103 6% 0% 54
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6804 3% 1% 26
8 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 6762 1% 2% 13
9 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 5058 1% 2% 7
10 BULLETIN DES SCIENCES MATHEMATIQUES 4675 1% 1% 13

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 EXPONENTIAL DICHOTOMY 2055356 15% 46% 132 Search EXPONENTIAL+DICHOTOMY Search EXPONENTIAL+DICHOTOMY
2 NONUNIFORM EXPONENTIAL DICHOTOMIES 814558 3% 93% 26 Search NONUNIFORM+EXPONENTIAL+DICHOTOMIES Search NONUNIFORM+EXPONENTIAL+DICHOTOMIES
3 UNIFORM EXPONENTIAL STABILITY 764734 4% 67% 34 Search UNIFORM+EXPONENTIAL+STABILITY Search UNIFORM+EXPONENTIAL+STABILITY
4 EVOLUTION FAMILY 524056 4% 39% 40 Search EVOLUTION+FAMILY Search EVOLUTION+FAMILY
5 EXPONENTIAL TRICHOTOMY 419982 2% 66% 19 Search EXPONENTIAL+TRICHOTOMY Search EXPONENTIAL+TRICHOTOMY
6 LINEAR SKEW PRODUCT SEMIFLOWS 371132 1% 100% 11 Search LINEAR+SKEW+PRODUCT+SEMIFLOWS Search LINEAR+SKEW+PRODUCT+SEMIFLOWS
7 NONUNIFORM EXPONENTIAL TRICHOTOMIES 371132 1% 100% 11 Search NONUNIFORM+EXPONENTIAL+TRICHOTOMIES Search NONUNIFORM+EXPONENTIAL+TRICHOTOMIES
8 DICHOTOMY SPECTRUM 323892 1% 80% 12 Search DICHOTOMY+SPECTRUM Search DICHOTOMY+SPECTRUM
9 ADMISSIBILITY OF FUNCTION SPACES 306719 1% 91% 10 Search ADMISSIBILITY+OF+FUNCTION+SPACES Search ADMISSIBILITY+OF+FUNCTION+SPACES
10 UNIFORM EXPONENTIAL DICHOTOMY 239922 1% 89% 8 Search UNIFORM+EXPONENTIAL+DICHOTOMY Search UNIFORM+EXPONENTIAL+DICHOTOMY

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 ZHANG, JM , CHANG, XY , WANG, JL , (2013) EXISTENCE AND ROBUSTNESS OF NONUNIFORM (H, K, MU, NU)-DICHOTOMIES FOR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 400. ISSUE 2. P. 710 -723 28 97% 1
2 BARREIRA, L , VALLS, C , (2008) STABILITY OF NONAUTONOMOUS DIFFERENTIAL EQUATIONS - PREFACE.STABILITY OF NONAUTONOMOUS DIFFERENTIAL EQUATIONS. VOL. 1926. ISSUE . P. VII -+ 35 88% 0
3 ZHOU, LF , LU, KN , ZHANG, WN , (2017) EQUIVALENCES BETWEEN NONUNIFORM EXPONENTIAL DICHOTOMY AND ADMISSIBILITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 1. P. 682 -747 25 93% 0
4 ZHOU, LF , ZHANG, WN , (2016) ADMISSIBILITY AND ROUGHNESS OF NONUNIFORM EXPONENTIAL DICHOTOMIES FOR DIFFERENCE EQUATIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 271. ISSUE 5. P. 1087 -1129 25 93% 0
5 ZHANG, JM , SONG, YJ , ZHAO, ZT , (2013) GENERAL EXPONENTIAL DICHOTOMIES ON TIME SCALES AND PARAMETER DEPENDENCE OF ROUGHNESS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 26 93% 0
6 SASU, AL , SASU, B , (2016) ADMISSIBILITY AND EXPONENTIAL TRICHOTOMY OF DYNAMICAL SYSTEMS DESCRIBED BY SKEW-PRODUCT FLOWS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 2. P. 1656 -1689 24 92% 0
7 SASU, AL , MEGAN, M , SASU, B , (2012) ON ROLEWICZ-ZABCZYK TECHNIQUES IN THE STABILITY THEORY OF DYNAMICAL SYSTEMS.FIXED POINT THEORY. VOL. 13. ISSUE 1. P. 205-236 22 100% 1
8 STOICA, C , (2016) APPROACHING THE DISCRETE DYNAMICAL SYSTEMS BY MEANS OF SKEW-EVOLUTION SEMIFLOWS.DISCRETE DYNAMICS IN NATURE AND SOCIETY. VOL. . ISSUE . P. - 21 95% 0
9 ZHOU, LF , LU, KN , ZHANG, WN , (2013) ROUGHNESS OF TEMPERED EXPONENTIAL DICHOTOMIES FOR INFINITE-DIMENSIONAL RANDOM DIFFERENCE EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 254. ISSUE 9. P. 4024 -4046 22 92% 9
10 SASU, AL , SASU, B , (2014) DISCRETE ADMISSIBILITY AND EXPONENTIAL TRICHOTOMY OF DYNAMICAL SYSTEMS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 34. ISSUE 7. P. 2929-2962 21 95% 2

Classes with closest relation at Level 1



Rank Class id link
1 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
2 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
3 15600 ORBIT FLIP//INCLINATION FLIP//T POINT
4 10427 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
5 22477 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
6 14916 CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF
7 14499 KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS
8 20817 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS
9 13969 CARRYING SIMPLEX//MONOTONE SKEW PRODUCT SEMIFLOWS//EXPONENTIAL SEPARATION
10 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY

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