Class information for:
Level 1: PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6703 1454 16.9 49%


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
905 2             POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX 11262
6703 1                   PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS 1454

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 PERIODIC SOLUTION authKW 1221323 30% 14% 431
2 DEVIATING ARGUMENT authKW 766012 4% 60% 61
3 BOUNDEDNESS OF SOLUTIONS authKW 646364 3% 63% 49
4 RAYLEIGH EQUATION authKW 556877 3% 60% 44
5 MAWHINS CONTINUATION THEOREM authKW 476400 2% 69% 33
6 MOSERS TWIST THEOREM authKW 335988 1% 100% 16
7 CONTINUATION THEOREM authKW 305785 3% 39% 37
8 LIENARD EQUATION authKW 246475 3% 31% 38
9 MOSERS SMALL TWIST THEOREM authKW 230992 1% 100% 11
10 POINCARE BIRKHOFF THEOREM authKW 223981 1% 67% 16

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, Applied 50196 73% 0% 1059
2 Mathematics 47782 77% 0% 1124
3 Physics, Mathematical 94 3% 0% 43
4 Mathematics, Interdisciplinary Applications 13 1% 0% 17
5 Engineering, General 3 1% 0% 13
6 Multidisciplinary Sciences 1 0% 0% 6
7 Mechanics 0 1% 0% 19
8 Automation & Control Systems 0 0% 0% 7
9 Computer Science, Software Engineering -0 0% 0% 7
10 History & Philosophy of Science -0 0% 0% 1

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 DIPARTIMENTO MATEMAT PLICATA GIOVANNI SANSONE 68590 0% 47% 7
2 DIPARTIMENTO MATEMAT GEOSCI 43304 1% 11% 18
3 MATEMAT LICADA 41920 7% 2% 103
4 MATH PURE PL 26232 1% 13% 10
5 MATH PURE PLIQUEE 23620 0% 38% 3
6 DIPARTIMENTO INGN IND SCI MATEMAT 22377 1% 9% 12
7 FONDAMENTAL COURSES 20999 0% 100% 1
8 GUANGXI EGES UNIV DATA ANAL COMPU 20999 0% 100% 1
9 INGN MATH CMM 20999 0% 100% 1
10 INRIA TEAM MEPHYSTO 20999 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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 72528 14% 2% 204
2 ADVANCED NONLINEAR STUDIES 59451 3% 7% 41
3 JOURNAL OF DIFFERENTIAL EQUATIONS 33944 7% 2% 108
4 BOUNDARY VALUE PROBLEMS 33451 3% 3% 49
5 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 24175 2% 4% 26
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 15753 9% 1% 126
7 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 13191 3% 1% 44
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 10020 3% 1% 40
9 ADVANCES IN DIFFERENCE EQUATIONS 7134 2% 1% 27
10 NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS 6722 1% 2% 16

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 PERIODIC SOLUTION 1221323 30% 14% 431 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
2 DEVIATING ARGUMENT 766012 4% 60% 61 Search DEVIATING+ARGUMENT Search DEVIATING+ARGUMENT
3 BOUNDEDNESS OF SOLUTIONS 646364 3% 63% 49 Search BOUNDEDNESS+OF+SOLUTIONS Search BOUNDEDNESS+OF+SOLUTIONS
4 RAYLEIGH EQUATION 556877 3% 60% 44 Search RAYLEIGH+EQUATION Search RAYLEIGH+EQUATION
5 MAWHINS CONTINUATION THEOREM 476400 2% 69% 33 Search MAWHINS+CONTINUATION+THEOREM Search MAWHINS+CONTINUATION+THEOREM
6 MOSERS TWIST THEOREM 335988 1% 100% 16 Search MOSERS+TWIST+THEOREM Search MOSERS+TWIST+THEOREM
7 CONTINUATION THEOREM 305785 3% 39% 37 Search CONTINUATION+THEOREM Search CONTINUATION+THEOREM
8 LIENARD EQUATION 246475 3% 31% 38 Search LIENARD+EQUATION Search LIENARD+EQUATION
9 MOSERS SMALL TWIST THEOREM 230992 1% 100% 11 Search MOSERS+SMALL+TWIST+THEOREM Search MOSERS+SMALL+TWIST+THEOREM
10 POINCARE BIRKHOFF THEOREM 223981 1% 67% 16 Search POINCARE+BIRKHOFF+THEOREM Search POINCARE+BIRKHOFF+THEOREM

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 CHU, JF , SUN, JT , WONG, PJY , (2013) EXISTENCE FOR SINGULAR PERIODIC PROBLEMS: A SURVEY OF RECENT RESULTS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 40 78% 0
2 MA, SW , (2015) PERIODIC AND UNBOUNDED MOTIONS IN ASYMMETRIC OSCILLATORS AT RESONANCE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 431. ISSUE 1. P. 406 -428 29 97% 0
3 WANG, ZH , MA, TT , (2012) EXISTENCE AND MULTIPLICITY OF PERIODIC SOLUTIONS OF SEMILINEAR RESONANT DUFFING EQUATIONS WITH SINGULARITIES.NONLINEARITY. VOL. 25. ISSUE 2. P. 279 -307 28 100% 7
4 CHU, JF , LI, SJ , ZHU, HL , (2015) NONTRIVIAL PERIODIC SOLUTIONS OF SECOND ORDER SINGULAR DAMPED DYNAMICAL SYSTEMS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 45. ISSUE 2. P. 457 -474 30 88% 0
5 MA, SW , WANG, LX , (2013) BOUNDED AND UNBOUNDED MOTIONS IN ASYMMETRIC OSCILLATORS AT RESONANCE.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. VOL. 25. ISSUE 4. P. 1057-1087 27 93% 1
6 HAN, Y , LI, X , (2017) ON LITTLEWOOD'S BOUNDEDNESS PROBLEM FOR RELATIVISTIC OSCILLATORS WITH SINGULAR POTENTIALS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 449. ISSUE 2. P. 1424 -1471 24 96% 0
7 CHU, JF , LEI, JZ , ZHANG, MR , (2011) LYAPUNOV STABILITY FOR CONSERVATIVE SYSTEMS WITH LOWER DEGREES OF FREEDOM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 16. ISSUE 2. P. 423 -443 29 88% 0
8 CHU, JF , FAN, N , TORRES, PJ , (2012) PERIODIC SOLUTIONS FOR SECOND ORDER SINGULAR DAMPED DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 388. ISSUE 2. P. 665 -675 26 90% 11
9 CHU, JF , TORRES, PJ , WANG, F , (2015) RADIAL STABILITY OF PERIODIC SOLUTIONS OF THE GYLDEN-MESHCHERSKII-TYPE PROBLEM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 5. P. 1921 -1932 26 87% 0
10 LI, SJ , LIAO, FF , XING, WY , (2015) PERIODIC SOLUTIONS FOR LIENARD DIFFERENTIAL EQUATIONS WITH SINGULARITIES.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 25 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 23194 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
2 34032 BOUNDED NONLINEARITIES//NON MONOTONE ITERATIONS//A COMPACT R DELTA SET
3 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
4 10976 MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS
5 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
6 28057 FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE//SCI FUNCT DIFFERENTIAL EQUAT//LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
7 33519 WEAK QUASI PERIODIC SOLUTION//NONLINEAR DUFFING EQUATIONS//ADVANCED RETARDED DIFFERENTIAL EQUATIONS
8 26997 ATTRACTOR BIFURCATION//DYNAMIC TRANSITION THEORY//EXTENDED FISHER KOLMOGOROV EQUATION
9 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
10 13872 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT

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