Class information for:
Level 1: QUASI PERIODIC SOLUTIONS//INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//KAM FOR PDES

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
167 3       INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//PHYSICS, MATHEMATICAL 60542
2747 2             KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION 3446
19398 1                   QUASI PERIODIC SOLUTIONS//INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//KAM FOR PDES 531

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 QUASI PERIODIC SOLUTIONS authKW 972240 10% 30% 54
2 INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS authKW 844325 4% 68% 21
3 KAM FOR PDES authKW 534173 2% 100% 9
4 BIRKHOFF NORMAL FORM authKW 389577 3% 41% 16
5 NASH MOSER THEORY authKW 363533 1% 88% 7
6 GROWTH OF SOBOLEV NORMS authKW 305240 1% 86% 6
7 37K55 authKW 296763 1% 100% 5
8 INFINITE DIMENSIONAL KAM THEORY authKW 296763 1% 100% 5
9 KAM THEORY authKW 278165 6% 16% 30
10 NASH MOSER METHOD authKW 189927 1% 80% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 12011 65% 0% 343
2 Mathematics, Applied 7541 47% 0% 251
3 Physics, Mathematical 2414 19% 0% 102
4 Mechanics 37 4% 0% 21
5 Mathematics, Interdisciplinary Applications 11 2% 0% 8
6 Physics, Multidisciplinary 8 4% 0% 19
7 Physics, Fluids & Plasmas 0 1% 0% 4
8 Multidisciplinary Sciences 0 0% 0% 2
9 Computer Science, Software Engineering -0 0% 0% 2
10 Engineering, Manufacturing -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH J LERAY 172652 2% 36% 8
2 ANAL GEOMETRIE PLICATUMR 7539 148376 1% 50% 5
3 INLNIUF 118705 0% 100% 2
4 DIPARTIMENTO MATEMAT PLICAZ R CACCIOPPOLI 81666 5% 5% 26
5 UMR CNRS 6629 66085 1% 16% 7
6 ANAL GEOMETRIE A PL 59353 0% 100% 1
7 ANALYSE NON LINEAIRE GEOMETRIE EA 2151 59353 0% 100% 1
8 DIPARTIMENTO MATEMAT PPLICAZ R CACCIOPPOLI 59353 0% 100% 1
9 DIPARTIMENTO MATERNAT 59353 0% 100% 1
10 IFIM IND MATH 59353 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMMUNICATIONS IN MATHEMATICAL PHYSICS 13812 8% 1% 44
2 ANALYSIS & PDE 13263 2% 2% 9
3 JOURNAL OF DIFFERENTIAL EQUATIONS 12764 8% 1% 40
4 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 10082 2% 2% 9
5 RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI 7017 1% 2% 6
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6726 4% 1% 20
7 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 5767 2% 1% 12
8 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 4717 1% 2% 4
9 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 3762 2% 1% 9
10 NONLINEARITY 2974 2% 0% 13

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 QUASI PERIODIC SOLUTIONS 972240 10% 30% 54 Search QUASI+PERIODIC+SOLUTIONS Search QUASI+PERIODIC+SOLUTIONS
2 INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS 844325 4% 68% 21 Search INFINITE+DIMENSIONAL+HAMILTONIAN+SYSTEMS Search INFINITE+DIMENSIONAL+HAMILTONIAN+SYSTEMS
3 KAM FOR PDES 534173 2% 100% 9 Search KAM+FOR+PDES Search KAM+FOR+PDES
4 BIRKHOFF NORMAL FORM 389577 3% 41% 16 Search BIRKHOFF+NORMAL+FORM Search BIRKHOFF+NORMAL+FORM
5 NASH MOSER THEORY 363533 1% 88% 7 Search NASH+MOSER+THEORY Search NASH+MOSER+THEORY
6 GROWTH OF SOBOLEV NORMS 305240 1% 86% 6 Search GROWTH+OF+SOBOLEV+NORMS Search GROWTH+OF+SOBOLEV+NORMS
7 37K55 296763 1% 100% 5 Search 37K55 Search 37K55
8 INFINITE DIMENSIONAL KAM THEORY 296763 1% 100% 5 Search INFINITE+DIMENSIONAL+KAM+THEORY Search INFINITE+DIMENSIONAL+KAM+THEORY
9 KAM THEORY 278165 6% 16% 30 Search KAM+THEORY Search KAM+THEORY
10 NASH MOSER METHOD 189927 1% 80% 4 Search NASH+MOSER+METHOD Search NASH+MOSER+METHOD

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 8523 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
2 13607 MASLOV TYPE INDEX//CLOSED CHARACTERISTICS//BRAKE ORBITS
3 30118 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//REDUNDANT CONDITIONS//FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE
4 18871 NONLINEAR SUPRATRANSMISSION//SUPRATRANSMISSION//NONLINEAR BISTABILITY
5 632 STRICHARTZ ESTIMATES//NONLINEAR SCHRODINGER EQUATION//GLOBAL WELL POSEDNESS
6 32862 CONLEY MOSER CONDITION//ENERGY EXCHANGE IN TWO COMPONENT SYSTEMS//EQUATION SECONDAIRE
7 11502 DISPERSIVE ESTIMATES//ORBITAL STABILITY//SOLITARY MANIFOLD
8 27319 GENERALIZED GINZBURG LANDAU EQUATION//SEMIGROUP OF LIPSCHITZ OPERATORS//THE COMPLEX GINZBURG LANDAU EQUATION
9 16738 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
10 15820 HILL OPERATOR//REGULAR BOUNDARY CONDITIONS//METHOD OF SIMILAR OPERATORS

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