Class information for:
Level 1: WEAK QUASI PERIODIC SOLUTION//NONLINEAR DUFFING EQUATIONS//ADVANCED RETARDED DIFFERENTIAL EQUATIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
33519 123 16.3 18%



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
33519 1                   WEAK QUASI PERIODIC SOLUTION//NONLINEAR DUFFING EQUATIONS//ADVANCED RETARDED DIFFERENTIAL EQUATIONS 123

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 WEAK QUASI PERIODIC SOLUTION authKW 558576 2% 75% 3
2 NONLINEAR DUFFING EQUATIONS authKW 331008 2% 67% 2
3 ADVANCED RETARDED DIFFERENTIAL EQUATIONS authKW 248257 1% 100% 1
4 AMERIOS THEOREM authKW 248257 1% 100% 1
5 BESICOVITCH ALMOST PERIODIC authKW 248257 1% 100% 1
6 DIFFERENTIAL OPERATOR INCLUSION authKW 248257 1% 100% 1
7 DIP MET MOD MAT address 248257 1% 100% 1
8 DISCRETE EQUATIONS IN A METRIC SPACE authKW 248257 1% 100% 1
9 EPSILON UNIQUENESS authKW 248257 1% 100% 1
10 FORCED QUASI PERIODIC authKW 248257 1% 100% 1

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 3291 70% 0% 86
2 Mathematics, Applied 1931 50% 0% 61
3 Computer Science, Cybernetics 325 5% 0% 6
4 Multidisciplinary Sciences 93 5% 0% 6
5 Literature, African, Australian, Canadian 64 1% 0% 1
6 Literature, German, German, Scandinavian 35 1% 0% 1
7 Physics, Mathematical 28 5% 0% 6
8 Literature 14 2% 0% 2
9 Automation & Control Systems 12 2% 0% 3
10 Telecommunications 6 2% 0% 3

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 DIP MET MOD MAT 248257 1% 100% 1
2 SAMM EA4543 49650 1% 20% 1
3 DIPARTIMENTO METODI MODELLI MATEMATICI SCI PL 41374 1% 17% 1
4 ENERGIE AUTOMATISIERUNGSTECH 41374 1% 17% 1
5 PL SYST ANAL 31463 2% 4% 3
6 ELECT ENG COMP SCI 23090 2% 5% 2
7 FAK ELEKTROTECH INFORMAT 4 16549 1% 7% 1
8 MARIN MERSENNE 16549 1% 7% 1
9 SAMM EA 4543 16549 1% 7% 1
10 MATH ENGN 14135 2% 2% 3

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 UKRAINIAN MATHEMATICAL JOURNAL 43006 11% 1% 13
2 CYBERNETICS AND SYSTEMS ANALYSIS 22444 5% 2% 6
3 MATHEMATICAL NOTES 4030 7% 0% 9
4 SBORNIK MATHEMATICS 4007 4% 0% 5
5 NONLINEAR OSCILLATIONS 2885 1% 1% 1
6 DIFFERENTIAL AND INTEGRAL EQUATIONS 2884 2% 0% 3
7 IETE TECHNICAL REVIEW 2550 2% 0% 3
8 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 1358 2% 0% 2
9 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 1312 1% 1% 1
10 SPIEGEL DER LETTEREN 1265 1% 1% 1

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 WEAK QUASI PERIODIC SOLUTION 558576 2% 75% 3 Search WEAK+QUASI+PERIODIC+SOLUTION Search WEAK+QUASI+PERIODIC+SOLUTION
2 NONLINEAR DUFFING EQUATIONS 331008 2% 67% 2 Search NONLINEAR+DUFFING+EQUATIONS Search NONLINEAR+DUFFING+EQUATIONS
3 ADVANCED RETARDED DIFFERENTIAL EQUATIONS 248257 1% 100% 1 Search ADVANCED+RETARDED+DIFFERENTIAL+EQUATIONS Search ADVANCED+RETARDED+DIFFERENTIAL+EQUATIONS
4 AMERIOS THEOREM 248257 1% 100% 1 Search AMERIOS+THEOREM Search AMERIOS+THEOREM
5 BESICOVITCH ALMOST PERIODIC 248257 1% 100% 1 Search BESICOVITCH+ALMOST+PERIODIC Search BESICOVITCH+ALMOST+PERIODIC
6 DIFFERENTIAL OPERATOR INCLUSION 248257 1% 100% 1 Search DIFFERENTIAL+OPERATOR+INCLUSION Search DIFFERENTIAL+OPERATOR+INCLUSION
7 DISCRETE EQUATIONS IN A METRIC SPACE 248257 1% 100% 1 Search DISCRETE+EQUATIONS+IN+A+METRIC+SPACE Search DISCRETE+EQUATIONS+IN+A+METRIC+SPACE
8 EPSILON UNIQUENESS 248257 1% 100% 1 Search EPSILON+UNIQUENESS Search EPSILON+UNIQUENESS
9 FORCED QUASI PERIODIC 248257 1% 100% 1 Search FORCED+QUASI+PERIODIC Search FORCED+QUASI+PERIODIC
10 INVERTIBILITY AND EQUIVALENCE OF SPECTRA 248257 1% 100% 1 Search INVERTIBILITY+AND+EQUIVALENCE+OF+SPECTRA Search INVERTIBILITY+AND+EQUIVALENCE+OF+SPECTRA

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 PARASYUK, I , RUSTAMOVA, A , (2012) VARIATIONAL APPROACH FOR WEAK QUASIPERIODIC SOLUTIONS OF QUASIPERIODICALLY EXCITED LAGRANGIAN SYSTEMS ON RIEMANNIAN MANIFOLDS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 11 92% 0
2 SLYUSARCHUK, VE , (2014) CONDITIONS FOR ALMOST PERIODICITY OF BOUNDED SOLUTIONS OF NON-LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS.IZVESTIYA MATHEMATICS. VOL. 78. ISSUE 6. P. 1232 -1243 7 100% 0
3 SLYUSARCHUK, VE , (2016) ALMOST-PERIODIC SOLUTIONS OF DISCRETE EQUATIONS.IZVESTIYA MATHEMATICS. VOL. 80. ISSUE 2. P. 403 -416 7 88% 0
4 PARASYUK, IO , (2015) QUASIPERIODIC EXTREMALS OF NONAUTONOMOUS LAGRANGIAN SYSTEMS ON RIEMANNIAN MANIFOLDS.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 66. ISSUE 10. P. 1553 -1574 6 100% 0
5 AYACHI, M , BLOT, J , CIEUTAT, P , (2011) ALMOST PERIODIC SOLUTIONS OF MONOTONE SECOND-ORDER DIFFERENTIAL EQUATIONS.ADVANCED NONLINEAR STUDIES. VOL. 11. ISSUE 3. P. 541-554 6 100% 0
6 ZHANG, XY , WANG, LB , (2016) EXISTENCE OF WEAK QUASI-PERIODIC SOLUTIONS FOR A SECOND ORDER HAMILTONIAN SYSTEM WITH DAMPED TERM VIA A PDE APPROACH.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 109. P. 1 -14 9 56% 0
7 SLYUSARCHUK, VY , (2015) CONDITIONS FOR THE EXISTENCE OF ALMOST-PERIODIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS IN BANACH SPACE.MATHEMATICAL NOTES. VOL. 97. ISSUE 1-2. P. 268 -274 5 100% 1
8 SLYUSARCHUK, VE , (2014) THE STUDY OF NONLINEAR ALMOST PERIODIC DIFFERENTIAL EQUATIONS WITHOUT RECOURSE TO THE H-CLASSES OF THESE EQUATIONS.SBORNIK MATHEMATICS. VOL. 205. ISSUE 6. P. 892 -911 5 100% 1
9 KUANG, JH , (2012) VARIATIONAL APPROACH TO QUASI-PERIODIC SOLUTION OF NONAUTONOMOUS SECOND-ORDER HAMILTONIAN SYSTEMS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 5 100% 7
10 SLYUSARCHUK, VE , (2012) BOUNDED AND PERIODIC SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS.SBORNIK MATHEMATICS. VOL. 203. ISSUE 5. P. 743 -767 5 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 10427 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
2 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
3 6703 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
4 10976 MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS
5 30733 ADJOINT FLOQUET SOLUTIONS//STABILITY IN NONLINEAR APPROXIMATION//PERIODIC PERTURBATIONS
6 13872 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT
7 30482 SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS
8 29839 KENNETH BURKE//MOSSE WE EIN JEWISH STUDIES//ETHNOGRAPHIC TURN
9 23942 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
10 17757 HOMOTOPIC MAPPING//CLIMATE STUDIES CHINA METEOROL ADM//VARIATIONAL ITERATION

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