Class information for:
Level 1: TWO TIMESCALES PERTURBATION METHOD//GALERKIN AVERAGING METHOD//WEAKLY NONLINEAR BEAM EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
31189 156 13.4 26%



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
31189 1                   TWO TIMESCALES PERTURBATION METHOD//GALERKIN AVERAGING METHOD//WEAKLY NONLINEAR BEAM EQUATION 156

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 TWO TIMESCALES PERTURBATION METHOD authKW 1065695 4% 78% 7
2 GALERKIN AVERAGING METHOD authKW 391481 1% 100% 2
3 WEAKLY NONLINEAR BEAM EQUATION authKW 391481 1% 100% 2
4 WEAKLY NONLINEAR PLATE EQUATION authKW 391481 1% 100% 2
5 2 TIMESCALES PERTURBATION METHOD authKW 195740 1% 100% 1
6 ASYMPTOTES OF GLOBAL SOLUTIONS authKW 195740 1% 100% 1
7 BORSUK ULAM CONDITION authKW 195740 1% 100% 1
8 CAUCHY PROBLEM FOR EQUATIONS WITH DISCONTINUOUS RIGHT HAND SIDE authKW 195740 1% 100% 1
9 CONDENSING MULTIVALUED MAP authKW 195740 1% 100% 1
10 DIFFERENTIAL DIFERENCE EQUATIONS authKW 195740 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 2147 51% 0% 79
2 Mathematics, Applied 1073 33% 0% 52
3 Mechanics 782 25% 0% 39
4 Multidisciplinary Sciences 169 6% 0% 9
5 Engineering, Mechanical 135 10% 0% 16
6 Acoustics 54 4% 0% 6
7 Engineering, Geological 36 2% 0% 3
8 Automation & Control Systems 29 3% 0% 5
9 Operations Research & Management Science 6 2% 0% 3
10 Engineering, Civil 3 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 TAMSHUI AREA 195740 1% 100% 1
2 PL MATH ANAL 66976 5% 4% 8
3 TECH MATH INFORMAT 31627 3% 4% 4
4 DUBAI INT CITY 19572 1% 10% 1
5 INFORMAT TECHNOL SYST 8486 3% 1% 5
6 ITS 6930 2% 1% 3
7 GEOENGN SECT 5435 1% 3% 1
8 DIAM 3689 1% 1% 2
9 AUTOMAT BIOMECH 1657 1% 1% 1
10 DELFT PL MATH 1627 1% 0% 2

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 DIFFERENTIAL EQUATIONS 20991 13% 1% 20
2 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 9271 4% 1% 7
3 RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS 3815 1% 1% 2
4 MATHEMATICAL NOTES 3173 6% 0% 9
5 QUARTERLY OF APPLIED MATHEMATICS 3022 3% 0% 5
6 DOKLADY AKADEMII NAUK 1761 6% 0% 9
7 NONLINEAR DYNAMICS 1414 4% 0% 6
8 ANNALI DI MATEMATICA PURA ED APPLICATA 1225 2% 0% 3
9 AVTOMATIKA 1156 1% 1% 1
10 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 1030 5% 0% 8

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 TWO TIMESCALES PERTURBATION METHOD 1065695 4% 78% 7 Search TWO+TIMESCALES+PERTURBATION+METHOD Search TWO+TIMESCALES+PERTURBATION+METHOD
2 GALERKIN AVERAGING METHOD 391481 1% 100% 2 Search GALERKIN+AVERAGING+METHOD Search GALERKIN+AVERAGING+METHOD
3 WEAKLY NONLINEAR BEAM EQUATION 391481 1% 100% 2 Search WEAKLY+NONLINEAR+BEAM+EQUATION Search WEAKLY+NONLINEAR+BEAM+EQUATION
4 WEAKLY NONLINEAR PLATE EQUATION 391481 1% 100% 2 Search WEAKLY+NONLINEAR+PLATE+EQUATION Search WEAKLY+NONLINEAR+PLATE+EQUATION
5 2 TIMESCALES PERTURBATION METHOD 195740 1% 100% 1 Search 2+TIMESCALES+PERTURBATION+METHOD Search 2+TIMESCALES+PERTURBATION+METHOD
6 ASYMPTOTES OF GLOBAL SOLUTIONS 195740 1% 100% 1 Search ASYMPTOTES+OF+GLOBAL+SOLUTIONS Search ASYMPTOTES+OF+GLOBAL+SOLUTIONS
7 BORSUK ULAM CONDITION 195740 1% 100% 1 Search BORSUK+ULAM+CONDITION Search BORSUK+ULAM+CONDITION
8 CAUCHY PROBLEM FOR EQUATIONS WITH DISCONTINUOUS RIGHT HAND SIDE 195740 1% 100% 1 Search CAUCHY+PROBLEM+FOR+EQUATIONS+WITH+DISCONTINUOUS+RIGHT+HAND+SIDE Search CAUCHY+PROBLEM+FOR+EQUATIONS+WITH+DISCONTINUOUS+RIGHT+HAND+SIDE
9 CONDENSING MULTIVALUED MAP 195740 1% 100% 1 Search CONDENSING+MULTIVALUED+MAP Search CONDENSING+MULTIVALUED+MAP
10 DIFFERENTIAL DIFERENCE EQUATIONS 195740 1% 100% 1 Search DIFFERENTIAL+DIFERENCE+EQUATIONS Search DIFFERENTIAL+DIFERENCE+EQUATIONS

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 FECKAN, M , (2000) A GALERKIN-AVERAGING METHOD FOR WEAKLY NONLINEAR EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 41. ISSUE 3-4. P. 345-369 5 100% 0
2 FILIPPOV, VV , (1993) THE TOPOLOGICAL-STRUCTURE OF SOLUTION SPACES OF ORDINARY DIFFERENTIAL-EQUATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 48. ISSUE 1. P. 101-154 6 100% 4
3 ZARUBINSKAYA, M , VAN HORSSEN, WT , (2005) ON THE VIBRATIONS OF A SIMPLY SUPPORTED SQUARE PLATE ON A WEAKLY NONLINEAR ELASTIC FOUNDATION.NONLINEAR DYNAMICS. VOL. 40. ISSUE 1. P. 35-60 7 54% 5
4 LAI, SY , FU, QL , (2003) THE ASYMPTOTIC THEORY OF INITIAL VALUE PROBLEMS FOR SEMILINEAR PERTURBED WAVE EQUATIONS IN TWO SPACE DIMENSIONS.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. VOL. 24. ISSUE 1. P. 82-91 4 100% 1
5 FILIPPOV, VV , (1995) NOTE ON CONTINUITY OF DEPENDENCE OF SOLUTIONS OF GENERALIZED DIFFERENTIAL-EQUATION Y'IS-AN-ELEMENT-OF-F(T,Y) UPON RIGHT PART.VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA. VOL. . ISSUE 3. P. 16-21 5 100% 1
6 FILIPPOV, VV , (1995) ON COMPARISON-THEOREMS.MATHEMATICAL NOTES. VOL. 57. ISSUE 3-4. P. 421-432 5 100% 0
7 DARMAWIJOYO , VAN HORSSEN, WT , CLEMENT, P , (2003) ON A RAYLEIGH WAVE EQUATION WITH BOUNDARY DAMPING.NONLINEAR DYNAMICS. VOL. 33. ISSUE 4. P. 399-429 6 60% 0
8 WANG, YR , TU, SC , (2016) INFLUENCE OF TUNED MASS DAMPER ON FIXED-FREE 3D NONLINEAR BEAM EMBEDDED IN NONLINEAR ELASTIC FOUNDATION.MECCANICA. VOL. 51. ISSUE 10. P. 2377 -2416 6 43% 0
9 BOERTJENS, GJ , VAN HORSSEN, WT , (2000) ON INTERACTIONS OF OSCILLATION MODES FOR A WEAKLY NON-LINEAR UNDAMPED ELASTIC BEAM WITH AN EXTERNAL FORCE.JOURNAL OF SOUND AND VIBRATION. VOL. 235. ISSUE 2. P. 201-217 7 54% 14
10 FILIPPOV, VV , (1993) INVESTIGATION OF STATIONARY-POINTS ON PLANE.VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA. VOL. . ISSUE 5. P. 3-11 5 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 37297 ACCELERATION FRONT//DYNAMIC STRESS FUNCTION//INTEGRAL EQUATION WITH SMALL KERNEL
2 37604 MATH MODELLING UKRAINIAN//ADVECTIVE DIFFUSIVE PROCESS//ASYMMETRIC STRESS TENSOR
3 11911 RAIN WIND INDUCED VIBRATION//STAY CABLE//CABLE VIBRATION
4 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
5 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
6 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
7 33710 CLAY SULFATE ROCKS//CENTER OF DILATATION//CYCLIC SWELLING
8 11913 AXIALLY MOVING BEAM//AXIALLY MOVING STRING//AXIALLY MOVING BEAMS
9 26140 WAVE PROPAGATION IN COMPOSITES//FINITE MASS METHOD//GRIDLESS DISCRETIZATIONS
10 1480 GENERAL DECAY//RELAXATION FUNCTION//EXPONENTIAL DECAY

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