Class information for:
Level 1: KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION

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
8523 1                   KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION 1275

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 KAM THEORY authKW 996841 7% 46% 88
2 ARNOLD DIFFUSION authKW 901741 4% 79% 46
3 KAM ITERATION authKW 772247 3% 92% 34
4 INVARIANT TORI authKW 553788 4% 41% 55
5 NEKHOROSHEV THEOREM authKW 389289 2% 75% 21
6 SPLITTING OF SEPARATRICES authKW 372214 1% 94% 16
7 NON DEGENERACY CONDITION authKW 292700 1% 79% 15
8 SYMPLECTIC MAPS authKW 239240 2% 44% 22
9 NEARLY INTEGRABLE HAMILTONIAN SYSTEMS authKW 222457 1% 100% 9
10 SMALL DIVISORS authKW 200493 2% 34% 24

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Physics, Mathematical 24150 38% 0% 490
2 Mathematics, Applied 17390 46% 0% 591
3 Mathematics 7394 34% 0% 428
4 Mathematics, Interdisciplinary Applications 1740 9% 0% 112
5 Physics, Multidisciplinary 1262 16% 0% 200
6 Astronomy & Astrophysics 741 11% 0% 143
7 Mechanics 478 8% 0% 98
8 Physics, Fluids & Plasmas 63 2% 0% 29
9 Physics, Particles & Fields 56 3% 0% 40
10 Nuclear Science & Technology 37 2% 0% 30

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMAT LICADA ANAL 132800 4% 11% 50
2 GRP CAOS SISTEMAS HAMILTONIANOS 121111 1% 70% 7
3 OBSERV NICE 77238 0% 63% 5
4 MATEMAT LICADA 1 70366 4% 6% 50
5 ASTROFIS LA PLATACONICET CCT LA PLATA 49435 0% 100% 2
6 ETSEIB MATEMAT LICADA 49435 0% 100% 2
7 CRANS 49423 1% 25% 8
8 GEOMETR ANAL GRP 32955 0% 67% 2
9 JLU GT JOINT THEORET SCI 32955 0% 67% 2
10 MECAN CELESTE 31776 0% 43% 3

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 REGULAR & CHAOTIC DYNAMICS 104913 4% 8% 55
2 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 85217 6% 4% 80
3 NONLINEARITY 55778 7% 3% 87
4 PARTICLE ACCELERATORS 26593 1% 8% 14
5 PHYSICA D-NONLINEAR PHENOMENA 19882 6% 1% 72
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS 14335 3% 2% 38
7 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 13550 3% 1% 44
8 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 12900 1% 6% 9
9 JOURNAL OF DIFFERENTIAL EQUATIONS 12727 5% 1% 62
10 JOURNAL OF NONLINEAR SCIENCE 7324 1% 2% 14

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 KAM THEORY 996841 7% 46% 88 Search KAM+THEORY Search KAM+THEORY
2 ARNOLD DIFFUSION 901741 4% 79% 46 Search ARNOLD+DIFFUSION Search ARNOLD+DIFFUSION
3 KAM ITERATION 772247 3% 92% 34 Search KAM+ITERATION Search KAM+ITERATION
4 INVARIANT TORI 553788 4% 41% 55 Search INVARIANT+TORI Search INVARIANT+TORI
5 NEKHOROSHEV THEOREM 389289 2% 75% 21 Search NEKHOROSHEV+THEOREM Search NEKHOROSHEV+THEOREM
6 SPLITTING OF SEPARATRICES 372214 1% 94% 16 Search SPLITTING+OF+SEPARATRICES Search SPLITTING+OF+SEPARATRICES
7 NON DEGENERACY CONDITION 292700 1% 79% 15 Search NON+DEGENERACY+CONDITION Search NON+DEGENERACY+CONDITION
8 SYMPLECTIC MAPS 239240 2% 44% 22 Search SYMPLECTIC+MAPS Search SYMPLECTIC+MAPS
9 NEARLY INTEGRABLE HAMILTONIAN SYSTEMS 222457 1% 100% 9 Search NEARLY+INTEGRABLE+HAMILTONIAN+SYSTEMS Search NEARLY+INTEGRABLE+HAMILTONIAN+SYSTEMS
10 SMALL DIVISORS 200493 2% 34% 24 Search SMALL+DIVISORS Search SMALL+DIVISORS

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 19398 QUASI PERIODIC SOLUTIONS//INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//KAM FOR PDES
2 18172 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
3 14774 WEAK KAM THEORY//ERGODIC PROBLEM//HAMILTON JACOBI EQUATION
4 29811 RESONANCES SPIN ORBIT//SPIN ORBIT PROBLEM//MERCURY INTERIOR
5 18871 NONLINEAR SUPRATRANSMISSION//SUPRATRANSMISSION//NONLINEAR BISTABILITY
6 30309 CAMTP//ASTRONAUT SCI TECHNOL//BARBANIS CONTOPOULOS SYSTEM
7 23353 NONTWIST MAPS//ROBUST TORI//DEGENERATE RESONANCES
8 20969 NONINVERTIBLE MAPS//ARNOLD RESONANCE WEB//PREFOCAL SETS
9 21941 CHAOTIC SCATTERING//ESCAPES//ESCAPE DYNAMICS
10 22543 HAMILTONIAN MONODROMY//UMR 8101//ENERGY MOMENTUM MAP

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