Class information for:
Level 1: EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
72 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 87385
272 2             VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM 19256
22641 1                   EXACT MULTIPLICITY//S SHAPED BIFURCATION CURVE//TIME MAP 396

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EXACT MULTIPLICITY authKW 2051701 10% 66% 39
2 S SHAPED BIFURCATION CURVE authKW 1277813 4% 94% 17
3 TIME MAP authKW 1155265 8% 48% 30
4 SEMIPOSITONE PROBLEMS authKW 612204 3% 77% 10
5 POSITONE PROBLEM authKW 409303 2% 86% 6
6 NONPOSITONE PROBLEM authKW 331611 1% 83% 5
7 EXACT MULTIPLICITY OF SOLUTIONS authKW 254677 1% 80% 4
8 EXACT STRUCTURE OF ALL SOLUTIONS authKW 238761 1% 100% 3
9 LINEARIZED EIGENVALUE PROBLEM authKW 221071 1% 56% 5
10 SEMIPOSITONE authKW 184828 3% 19% 12

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 15002 83% 0% 329
2 Mathematics, Applied 12390 69% 0% 275
3 Physics, Mathematical 9 2% 0% 8
4 Mathematics, Interdisciplinary Applications 5 1% 0% 5
5 Mechanics 1 2% 0% 7
6 Oceanography 0 1% 0% 2
7 Biology -0 1% 0% 3
8 Multidisciplinary Sciences -0 0% 0% 1
9 Statistics & Probability -0 1% 0% 2
10 Mathematical & Computational Biology -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FUNDAMENTAL GEN EDUC 119378 1% 50% 3
2 KMA FAV 102323 1% 43% 3
3 DPTO ECUAC DIFERENCIALES ANANL 79587 0% 100% 1
4 YY TSENG FUNCT ANAL 49733 1% 13% 5
5 DATABASE MKT 39793 0% 50% 1
6 LAMIFA 39793 0% 50% 1
7 LAGUARDIA C 26528 0% 33% 1
8 PROMOT Q21 26528 0% 33% 1
9 ECON INFORMAT SCI 18723 1% 12% 2
10 URA CNRS 742 13263 0% 17% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 18965 6% 1% 25
2 JOURNAL OF DIFFERENTIAL EQUATIONS 18904 11% 1% 42
3 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 16657 7% 1% 26
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 14410 12% 0% 47
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 10393 13% 0% 53
6 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 4368 2% 1% 7
7 MATHEMATICAL MODELLING AND ANALYSIS 4093 1% 1% 5
8 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 3763 3% 0% 12
9 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 2647 1% 1% 3
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2628 2% 0% 7

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 EXACT MULTIPLICITY 2051701 10% 66% 39 Search EXACT+MULTIPLICITY Search EXACT+MULTIPLICITY
2 S SHAPED BIFURCATION CURVE 1277813 4% 94% 17 Search S+SHAPED+BIFURCATION+CURVE Search S+SHAPED+BIFURCATION+CURVE
3 TIME MAP 1155265 8% 48% 30 Search TIME+MAP Search TIME+MAP
4 SEMIPOSITONE PROBLEMS 612204 3% 77% 10 Search SEMIPOSITONE+PROBLEMS Search SEMIPOSITONE+PROBLEMS
5 POSITONE PROBLEM 409303 2% 86% 6 Search POSITONE+PROBLEM Search POSITONE+PROBLEM
6 NONPOSITONE PROBLEM 331611 1% 83% 5 Search NONPOSITONE+PROBLEM Search NONPOSITONE+PROBLEM
7 EXACT MULTIPLICITY OF SOLUTIONS 254677 1% 80% 4 Search EXACT+MULTIPLICITY+OF+SOLUTIONS Search EXACT+MULTIPLICITY+OF+SOLUTIONS
8 EXACT STRUCTURE OF ALL SOLUTIONS 238761 1% 100% 3 Search EXACT+STRUCTURE+OF+ALL+SOLUTIONS Search EXACT+STRUCTURE+OF+ALL+SOLUTIONS
9 LINEARIZED EIGENVALUE PROBLEM 221071 1% 56% 5 Search LINEARIZED+EIGENVALUE+PROBLEM Search LINEARIZED+EIGENVALUE+PROBLEM
10 SEMIPOSITONE 184828 3% 19% 12 Search SEMIPOSITONE Search SEMIPOSITONE

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 10302 BOUNDARY BLOW UP//LARGE SOLUTIONS//KARAMATA REGULAR VARIATION THEORY
2 1634 P LAPLACIAN//CRITICAL GROUPS//NONLINEAR REGULARITY
3 33890 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
4 7233 LIOUVILLE TYPE THEOREM//METHOD OF MOVING PLANES IN INTEGRAL FORMS//LIOUVILLE THEOREM
5 25176 TWO PARAMETER EIGENVALUE PROBLEM//MULTIPARAMETER EIGENVALUE PROBLEM//QUADRATIC TWO PARAMETER EIGENVALUE PROBLEM
6 3666 CRITICAL SOBOLEV EXPONENT//HARDY INEQUALITY//CAFFARELLI KOHN NIRENBERG INEQUALITY
7 505 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
8 9271 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
9 1997 QUASILINEAR SCHRODINGER EQUATION//VARIATIONAL METHODS//STRONGLY INDEFINITE FUNCTIONALS
10 13287 RENORMALIZED FUNCTIONAL//DE GIORGI CONJECTURE//ALLEN CAHN EQUATION

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