Class information for:
Level 1: NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION

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
18172 1                   NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION 589

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NORMAL FORM authKW 380731 15% 8% 86
2 UNIQUE NORMAL FORM authKW 380498 1% 89% 8
3 FURTHER REDUCTION authKW 214031 1% 100% 4
4 NILPOTENT LINEAR PART authKW 214031 1% 100% 4
5 PARAMETRIC NORMAL FORM authKW 214031 1% 100% 4
6 THE SIMPLEST NORMAL FORM authKW 171223 1% 80% 4
7 CONVENTIONAL NORMAL FORM authKW 160523 1% 100% 3
8 FORMAL ORBITAL NORMAL FORM authKW 160523 1% 100% 3
9 GENERALIZED NORMAL FORMS authKW 160523 1% 100% 3
10 REVERSIBLE MAPS authKW 160523 1% 100% 3

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 7553 45% 0% 265
2 Mathematics 4566 39% 0% 227
3 Physics, Mathematical 2621 19% 0% 112
4 Mechanics 1184 16% 0% 96
5 Mathematics, Interdisciplinary Applications 655 8% 0% 47
6 Physics, Multidisciplinary 306 12% 0% 70
7 Acoustics 213 4% 0% 23
8 Engineering, Mechanical 211 7% 0% 41
9 Engineering, General 34 2% 0% 14
10 Automation & Control Systems 29 2% 0% 11

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AGAT UMR 8524 71342 0% 67% 2
2 FAEA 71342 0% 67% 2
3 ESCUELA POLITECHN SUPER 53508 0% 100% 1
4 GEOMETRIE ANALYSE TOPOL 53508 0% 100% 1
5 INGN ELECT COMPUADORAS 53508 0% 100% 1
6 MATEMAT INFORMAT GRP MECAN ESPACIAL 53508 0% 100% 1
7 UMR 5030GTA 53508 0% 100% 1
8 JA DIEUDONNE UMR 6621 42804 0% 40% 2
9 BLDG CONSTUCT 26753 0% 50% 1
10 UMR5580 26753 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL EQUATIONS 10929 7% 1% 39
2 NONLINEARITY 8419 4% 1% 23
3 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 6311 4% 0% 26
4 DYNAMICS AND STABILITY OF SYSTEMS 3941 1% 2% 3
5 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS 3802 1% 1% 8
6 PHYSICA D-NONLINEAR PHENOMENA 3305 3% 0% 20
7 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS 2864 1% 1% 7
8 REGULAR & CHAOTIC DYNAMICS 2694 1% 1% 6
9 ANNALES DE L INSTITUT FOURIER 1980 2% 0% 9
10 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 1659 1% 0% 8

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NORMAL FORM 380731 15% 8% 86 Search NORMAL+FORM Search NORMAL+FORM
2 UNIQUE NORMAL FORM 380498 1% 89% 8 Search UNIQUE+NORMAL+FORM Search UNIQUE+NORMAL+FORM
3 FURTHER REDUCTION 214031 1% 100% 4 Search FURTHER+REDUCTION Search FURTHER+REDUCTION
4 NILPOTENT LINEAR PART 214031 1% 100% 4 Search NILPOTENT+LINEAR+PART Search NILPOTENT+LINEAR+PART
5 PARAMETRIC NORMAL FORM 214031 1% 100% 4 Search PARAMETRIC+NORMAL+FORM Search PARAMETRIC+NORMAL+FORM
6 THE SIMPLEST NORMAL FORM 171223 1% 80% 4 Search THE+SIMPLEST+NORMAL+FORM Search THE+SIMPLEST+NORMAL+FORM
7 CONVENTIONAL NORMAL FORM 160523 1% 100% 3 Search CONVENTIONAL+NORMAL+FORM Search CONVENTIONAL+NORMAL+FORM
8 FORMAL ORBITAL NORMAL FORM 160523 1% 100% 3 Search FORMAL+ORBITAL+NORMAL+FORM Search FORMAL+ORBITAL+NORMAL+FORM
9 GENERALIZED NORMAL FORMS 160523 1% 100% 3 Search GENERALIZED+NORMAL+FORMS Search GENERALIZED+NORMAL+FORMS
10 REVERSIBLE MAPS 160523 1% 100% 3 Search REVERSIBLE+MAPS Search REVERSIBLE+MAPS

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 24237 BIFURCATION CONTROL//CONTROL BIFURCATIONS//STOCHASTIC PERIOD DOUBLING BIFURCATION
2 30309 CAMTP//ASTRONAUT SCI TECHNOL//BARBANIS CONTOPOULOS SYSTEM
3 17410 HETEROCLINIC NETWORK//COUPLED CELL NETWORKS//HETEROCLINIC CYCLE
4 22543 HAMILTONIAN MONODROMY//UMR 8101//ENERGY MOMENTUM MAP
5 8523 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
6 14804 ORBIT FLIP//INCLINATION FLIP//T POINT
7 15168 HOLOMORPHIC FOLIATION//REDUCTION OF SINGULARITIES//ANALYTIC CLASSIFICATION
8 1903 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
9 20969 NONINVERTIBLE MAPS//ARNOLD RESONANCE WEB//PREFOCAL SETS
10 37262 COMP PHYS MATH SIMULAT//PHYS MATH NAT SCI//BOSE OPERATORS

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