Class information for:
Level 2: GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR

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
1222 2             GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR 9365
632 1                   STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS 3245
3927 1                   PULLBACK ATTRACTOR//RANDOM ATTRACTOR//GLOBAL ATTRACTOR 1915
11502 1                   DISPERSIVE ESTIMATES//ORBITAL STABILITY//SOLITARY MANIFOLD 1004
12863 1                   NULL CONDITION//SEMILINEAR WAVE EQUATION//SEMILINEAR DAMPED WAVE EQUATION 906
13447 1                   KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS 867
18031 1                   BOUSSINESQ SYSTEM//KORTEWEG DE VRIES EQUATION//DISSIPATIVE NONLINEAR EVOLUTION EQUATION 596
25626 1                   DOUBLE DISPERSION EQUATION//BOUSSINESQ EQUATION//DAMPED BOUSSINESQ EQUATION 299
27319 1                   GENERALIZED GINZBURG LANDAU EQUATION//SEMIGROUP OF LIPSCHITZ OPERATORS//THE COMPLEX GINZBURG LANDAU EQUATION 252
29520 1                   CHRONOMETRIC THEORY//INTERDISCIPLINARY NAT HUMANIST SCI//58A99 202
37612 1                   HALIOTIS DIVERISICOLOR REEVE//MARINE PROCESSING WASTE//BLACKLIP ABALONE 79

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GLOBAL ATTRACTOR authKW 572732 4% 41% 412
2 PULLBACK ATTRACTOR authKW 502413 2% 85% 175
3 RANDOM ATTRACTOR authKW 450930 2% 79% 169
4 STRICHARTZ ESTIMATES authKW 383975 2% 71% 161
5 NONLINEAR SCHRODINGER EQUATION authKW 256290 3% 24% 324
6 MATHEMATICS, APPLIED WoSSC 195977 57% 1% 5344
7 UNIFORM ATTRACTOR authKW 190645 1% 78% 73
8 MATHEMATICS WoSSC 183527 60% 1% 5642
9 GLOBAL WELL POSEDNESS authKW 176929 1% 44% 119
10 ASYMPTOTIC COMPACTNESS authKW 160362 1% 81% 59

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 195977 57% 1% 5344
2 Mathematics 183527 60% 1% 5642
3 Physics, Mathematical 19492 13% 1% 1240
4 Physics, Multidisciplinary 786 6% 0% 555
5 Mechanics 351 3% 0% 301
6 Mathematics, Interdisciplinary Applications 301 2% 0% 166
7 Physics, Fluids & Plasmas 32 1% 0% 96
8 Automation & Control Systems 6 1% 0% 56
9 Statistics & Probability 5 1% 0% 71
10 Multidisciplinary Sciences 4 0% 0% 37

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 107963 40% 1% 3790
2 ECUAC DIFERENCIALES ANAL NUMER 74413 1% 31% 72
3 MATH SOFTWARE SCI 73598 1% 22% 98
4 DPTO ECUAC DIFERENCIALES ANAL NUMER 55128 0% 37% 44
5 UMR MATH 27014 0% 54% 15
6 IHES 21014 0% 63% 10
7 PARTIAL DIFFERENTIAL EQUAT PLICAT LR03ES04 20599 0% 88% 7
8 MATEMAT 19671 5% 1% 431
9 INVEST OPERAT 18604 0% 14% 39
10 INFORMAT TRANSMISS PROBLEMS 15683 1% 6% 77

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL EQUATIONS 97910 5% 6% 466
2 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 86480 3% 10% 252
3 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 84007 3% 8% 297
4 DIFFERENTIAL AND INTEGRAL EQUATIONS 80330 2% 17% 141
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 69518 5% 4% 504
6 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 64018 2% 11% 168
7 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 52396 1% 28% 56
8 ANALYSIS & PDE 42852 1% 19% 68
9 JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS 38345 1% 17% 66
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 30412 5% 2% 445

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GLOBAL ATTRACTOR 572732 4% 41% 412 Search GLOBAL+ATTRACTOR Search GLOBAL+ATTRACTOR
2 PULLBACK ATTRACTOR 502413 2% 85% 175 Search PULLBACK+ATTRACTOR Search PULLBACK+ATTRACTOR
3 RANDOM ATTRACTOR 450930 2% 79% 169 Search RANDOM+ATTRACTOR Search RANDOM+ATTRACTOR
4 STRICHARTZ ESTIMATES 383975 2% 71% 161 Search STRICHARTZ+ESTIMATES Search STRICHARTZ+ESTIMATES
5 NONLINEAR SCHRODINGER EQUATION 256290 3% 24% 324 Search NONLINEAR+SCHRODINGER+EQUATION Search NONLINEAR+SCHRODINGER+EQUATION
6 UNIFORM ATTRACTOR 190645 1% 78% 73 Search UNIFORM+ATTRACTOR Search UNIFORM+ATTRACTOR
7 GLOBAL WELL POSEDNESS 176929 1% 44% 119 Search GLOBAL+WELL+POSEDNESS Search GLOBAL+WELL+POSEDNESS
8 ASYMPTOTIC COMPACTNESS 160362 1% 81% 59 Search ASYMPTOTIC+COMPACTNESS Search ASYMPTOTIC+COMPACTNESS
9 BLOW UP 153244 3% 16% 294 Search BLOW+UP Search BLOW+UP
10 GLOBAL EXISTENCE 149630 3% 17% 258 Search GLOBAL+EXISTENCE Search GLOBAL+EXISTENCE

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 2



rank cluster_id2 link
1 1712 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY
2 1319 NAVIER STOKES EQUATIONS//REGULARITY CRITERION//JOURNAL OF MATHEMATICAL FLUID MECHANICS
3 1974 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
4 1719 CONSERVATION LAWS//RIEMANN PROBLEM//DELTA SHOCK WAVE
5 1257 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS
6 2237 CAHN HILLIARD EQUATION//FREE DISCONTINUITY PROBLEMS//YOUNG MEASURES
7 2807 MULTISUMMABILITY//BOREL SUMMABILITY//ULTRADIFFERENTIABLE FUNCTIONS
8 2747 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
9 272 VARIATIONAL METHODS//MATHEMATICS//MOUNTAIN PASS THEOREM
10 124 SOLITON SOLUTION//PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION

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