Class information for:
Level 2: 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
18172 1                   NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION 589
19398 1                   QUASI PERIODIC SOLUTIONS//INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS//KAM FOR PDES 531
24237 1                   BIFURCATION CONTROL//CONTROL BIFURCATIONS//STOCHASTIC PERIOD DOUBLING BIFURCATION 342
25677 1                   SHIMMY//CONTROL LAW TEAM//SHIMMY OSCILLATIONS 297
28384 1                   DESCRIBING FUNCTION//UNIFORM DISSIPATIVENESS//GAIN PHASE MARGIN 226
30309 1                   CAMTP//ASTRONAUT SCI TECHNOL//BARBANIS CONTOPOULOS SYSTEM 186

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 KAM THEORY authKW 685713 3% 63% 120
2 ARNOLD DIFFUSION authKW 333581 1% 79% 46
3 KAM ITERATION authKW 302738 1% 95% 35
4 INVARIANT TORI authKW 286107 2% 48% 65
5 NORMAL FORM authKW 275427 5% 17% 177
6 QUASI PERIODIC SOLUTIONS authKW 258876 2% 40% 71
7 SMALL DIVISORS authKW 238098 1% 61% 43
8 NEKHOROSHEV THEOREM authKW 188099 1% 86% 24
9 BIFURCATION CONTROL authKW 157961 1% 40% 43
10 SPLITTING OF SEPARATRICES authKW 137697 0% 94% 16

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 29450 37% 0% 1275
2 Physics, Mathematical 24353 24% 0% 819
3 Mathematics 16812 31% 0% 1066
4 Engineering, Aerospace 5150 6% 0% 209
5 Mathematics, Interdisciplinary Applications 2993 7% 0% 245
6 Automation & Control Systems 2621 6% 0% 211
7 Mechanics 1943 9% 0% 316
8 Physics, Multidisciplinary 1877 12% 0% 418
9 Engineering, Mechanical 398 4% 0% 151
10 Astronomy & Astrophysics 190 5% 0% 157

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMAT LICADA ANAL 51057 1% 11% 51
2 GRP CAOS SISTEMAS HAMILTONIANOS 44802 0% 70% 7
3 CONTROL LAW TEAM 36576 0% 100% 4
4 OBSERV NICE 28571 0% 63% 5
5 LANDING GEAR SYST 27432 0% 100% 3
6 MATH J LERAY 26591 0% 36% 8
7 MATEMAT LICADA 1 25972 1% 6% 50
8 INTEGRATED FLIGHT CONTROL SYST DIRECTORATE 24381 0% 67% 4
9 EQUIPE MATH BESANCON 24373 0% 33% 8
10 ANAL GEOMETRIE PLICATUMR 7539 22855 0% 50% 5

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 REGULAR & CHAOTIC DYNAMICS 47676 2% 9% 61
2 NONLINEARITY 42486 4% 4% 125
3 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 34659 2% 5% 84
4 JOURNAL OF DIFFERENTIAL EQUATIONS 25009 4% 2% 143
5 PHYSICA D-NONLINEAR PHENOMENA 14379 3% 2% 101
6 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 13744 2% 2% 73
7 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 12004 3% 2% 87
8 PARTICLE ACCELERATORS 9822 0% 8% 14
9 COMMUNICATIONS IN MATHEMATICAL PHYSICS 9181 3% 1% 92
10 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 6898 1% 4% 19

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 KAM THEORY 685713 3% 63% 120 Search KAM+THEORY Search KAM+THEORY
2 ARNOLD DIFFUSION 333581 1% 79% 46 Search ARNOLD+DIFFUSION Search ARNOLD+DIFFUSION
3 KAM ITERATION 302738 1% 95% 35 Search KAM+ITERATION Search KAM+ITERATION
4 INVARIANT TORI 286107 2% 48% 65 Search INVARIANT+TORI Search INVARIANT+TORI
5 NORMAL FORM 275427 5% 17% 177 Search NORMAL+FORM Search NORMAL+FORM
6 QUASI PERIODIC SOLUTIONS 258876 2% 40% 71 Search QUASI+PERIODIC+SOLUTIONS Search QUASI+PERIODIC+SOLUTIONS
7 SMALL DIVISORS 238098 1% 61% 43 Search SMALL+DIVISORS Search SMALL+DIVISORS
8 NEKHOROSHEV THEOREM 188099 1% 86% 24 Search NEKHOROSHEV+THEOREM Search NEKHOROSHEV+THEOREM
9 BIFURCATION CONTROL 157961 1% 40% 43 Search BIFURCATION+CONTROL Search BIFURCATION+CONTROL
10 SPLITTING OF SEPARATRICES 137697 0% 94% 16 Search SPLITTING+OF+SEPARATRICES Search SPLITTING+OF+SEPARATRICES

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 3306 CENTRAL CONFIGURATIONS//N BODY PROBLEM//RESTRICTED THREE BODY PROBLEM
2 1162 LIMIT CYCLE//ABELIAN INTEGRALS//NIELSEN NUMBER
3 1935 COUPLED MAP LATTICE//STRANGE NONCHAOTIC ATTRACTORS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
4 4073 ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP
5 1386 STOCHASTIC AVERAGING//NONLINEAR ENERGY SINK//JOURNAL OF SOUND AND VIBRATION
6 2173 DISCRETE BREATHERS//INTRINSIC LOCALIZED MODES//BREATHERS
7 953 QUANTUM CHAOS//CLOSED ORBIT THEORY//PHYSICS, MATHEMATICAL
8 1222 GLOBAL ATTRACTOR//PULLBACK ATTRACTOR//RANDOM ATTRACTOR
9 1000 CONSERVED QUANTITY//LIE ALGEBROIDS//REGULAR & CHAOTIC DYNAMICS
10 3666 MOTION CUEING//JOURNAL OF GUIDANCE CONTROL AND DYNAMICS//BIODYNAMIC FEEDTHROUGH

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