Class information for:
Level 1: LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER

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
1162 2             LIMIT CYCLE//ABELIAN INTEGRALS//NIELSEN NUMBER 9811
1903 1                   LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER 2471

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LIMIT CYCLE authKW 2619579 25% 34% 609
2 ABELIAN INTEGRALS authKW 1218016 4% 86% 111
3 ISOCHRONOUS CENTER authKW 793585 3% 94% 66
4 POLYNOMIAL VECTOR FIELDS authKW 685796 3% 81% 66
5 HILBERTS 16TH PROBLEM authKW 613115 2% 96% 50
6 MELNIKOV FUNCTION authKW 605822 3% 57% 83
7 CENTER PROBLEM authKW 599878 2% 80% 59
8 POLYNOMIAL DIFFERENTIAL SYSTEM authKW 536726 2% 96% 44
9 CENTER FOCUS PROBLEM authKW 510416 2% 98% 41
10 PERIOD FUNCTION authKW 457354 2% 78% 46

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 55452 64% 0% 1590
2 Mathematics, Applied 53913 58% 0% 1439
3 Mathematics, Interdisciplinary Applications 6430 12% 0% 295
4 Physics, Mathematical 3253 11% 0% 264
5 Multidisciplinary Sciences 144 2% 0% 39
6 Mechanics 91 3% 0% 79
7 Physics, Multidisciplinary 83 4% 0% 110
8 Engineering, Mechanical 11 2% 0% 41
9 Automation & Control Systems 10 1% 0% 21
10 Physics, Fluids & Plasmas 4 1% 0% 22

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMAT 161282 25% 2% 623
2 MOE LSC 43803 1% 12% 28
3 LIMB 33137 1% 20% 13
4 UMR 6083 SCI TECH 28692 0% 75% 3
5 ENGN INFORMAT MATEMAT 27376 1% 7% 29
6 LIMB MINIST EDUC 25506 0% 100% 2
7 SCI TECH MATH PHYS THEOR 25506 0% 100% 2
8 THEORET PHYS MATH FIMAT 25506 0% 100% 2
9 UMR 6083 MATH PHYS THEOR 22667 0% 44% 4
10 MATEMAT INFORMAT 22383 1% 6% 29

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL EQUATIONS 121525 11% 4% 266
2 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 100735 1% 23% 35
3 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 98523 8% 4% 210
4 BULLETIN DES SCIENCES MATHEMATIQUES 66315 3% 7% 80
5 DIFFERENTIAL EQUATIONS 34733 4% 3% 103
6 JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 29705 1% 8% 28
7 NONLINEARITY 17501 3% 2% 68
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 16571 7% 1% 168
9 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 15932 5% 1% 124
10 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 12925 1% 5% 22

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LIMIT CYCLE 2619579 25% 34% 609 Search LIMIT+CYCLE Search LIMIT+CYCLE
2 ABELIAN INTEGRALS 1218016 4% 86% 111 Search ABELIAN+INTEGRALS Search ABELIAN+INTEGRALS
3 ISOCHRONOUS CENTER 793585 3% 94% 66 Search ISOCHRONOUS+CENTER Search ISOCHRONOUS+CENTER
4 POLYNOMIAL VECTOR FIELDS 685796 3% 81% 66 Search POLYNOMIAL+VECTOR+FIELDS Search POLYNOMIAL+VECTOR+FIELDS
5 HILBERTS 16TH PROBLEM 613115 2% 96% 50 Search HILBERTS+16TH+PROBLEM Search HILBERTS+16TH+PROBLEM
6 MELNIKOV FUNCTION 605822 3% 57% 83 Search MELNIKOV+FUNCTION Search MELNIKOV+FUNCTION
7 CENTER PROBLEM 599878 2% 80% 59 Search CENTER+PROBLEM Search CENTER+PROBLEM
8 POLYNOMIAL DIFFERENTIAL SYSTEM 536726 2% 96% 44 Search POLYNOMIAL+DIFFERENTIAL+SYSTEM Search POLYNOMIAL+DIFFERENTIAL+SYSTEM
9 CENTER FOCUS PROBLEM 510416 2% 98% 41 Search CENTER+FOCUS+PROBLEM Search CENTER+FOCUS+PROBLEM
10 PERIOD FUNCTION 457354 2% 78% 46 Search PERIOD+FUNCTION Search PERIOD+FUNCTION

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 25231 QUASI POLYNOMIAL SYSTEMS//FINITE DIMENSIONAL POISSON SYSTEMS//HAMILTON POISSON SYSTEM
2 37779 SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD
3 15168 HOLOMORPHIC FOLIATION//REDUCTION OF SINGULARITIES//ANALYTIC CLASSIFICATION
4 18172 NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION
5 36409 ADJOINT FLOQUET SOLUTIONS//NATURAL STABILIZATION//STABILITY IN NONLINEAR APPROXIMATION
6 17282 CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM
7 22246 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
8 14804 ORBIT FLIP//INCLINATION FLIP//T POINT
9 6594 BORDER COLLISION BIFURCATION//GRAZING BIFURCATION//IMPACT OSCILLATOR
10 11707 GEODYSYC//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//JACOBI LAST MULTIPLIER

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