Class information for:
Level 2: LIMIT CYCLE//ABELIAN INTEGRALS//NIELSEN NUMBER

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
6991 1                   DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY 1445
10252 1                   BRANCHED SURFACE//ANOSOV FLOW//GROUP OF HOMEOMORPHISMS 1110
11893 1                   EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY 974
14804 1                   ORBIT FLIP//INCLINATION FLIP//T POINT 776
15305 1                   CONLEY INDEX//COMPUTER ASSISTED PROOF//RIGOROUS NUMERICS 746
17282 1                   CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM 635
17369 1                   NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER 631
20370 1                   MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS 486
20968 1                   ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM 461
37779 1                   SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD 76

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LIMIT CYCLE authKW 714112 6% 35% 634
2 ABELIAN INTEGRALS authKW 312155 1% 87% 112
3 NIELSEN NUMBER authKW 267024 1% 96% 87
4 EXPONENTIAL DICHOTOMY authKW 267002 2% 53% 158
5 MATHEMATICS WoSSC 251845 69% 1% 6740
6 ERGODIC THEORY AND DYNAMICAL SYSTEMS journal 226849 4% 17% 419
7 CONLEY INDEX authKW 219830 1% 68% 100
8 ISOCHRONOUS CENTER authKW 205875 1% 96% 67
9 PARTIAL HYPERBOLICITY authKW 197922 1% 91% 68
10 DOMINATED SPLITTING authKW 194221 1% 92% 66

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 251845 69% 1% 6740
2 Mathematics, Applied 163122 51% 1% 5006
3 Physics, Mathematical 20021 13% 1% 1287
4 Mathematics, Interdisciplinary Applications 6886 6% 0% 632
5 Physics, Multidisciplinary 508 5% 0% 497
6 Mechanics 219 3% 0% 269
7 Multidisciplinary Sciences 103 1% 0% 82
8 Physics, Fluids & Plasmas 32 1% 0% 100
9 Mathematical & Computational Biology 11 1% 0% 52
10 Automation & Control Systems 10 1% 0% 62

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMAT 184742 14% 4% 1333
2 IMERL 82759 0% 68% 38
3 MATH 68599 32% 1% 3121
4 UMR 5584 55569 1% 23% 76
5 TOPOL 42660 0% 29% 46
6 IMERL INGN 38525 0% 100% 12
7 MATH BOURGOGNE 29170 1% 16% 58
8 PL MATH CYBERNET 26324 0% 26% 31
9 DYNAM SYST NONLINEAR STUDIES 20792 0% 31% 21
10 MATH 4408 19263 0% 100% 6

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ERGODIC THEORY AND DYNAMICAL SYSTEMS 226849 4% 17% 419
2 JOURNAL OF DIFFERENTIAL EQUATIONS 169550 6% 8% 627
3 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 101218 4% 7% 425
4 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 90786 3% 9% 316
5 NONLINEARITY 79658 3% 9% 289
6 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 55938 1% 34% 52
7 DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 54101 1% 19% 87
8 SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 51499 1% 15% 109
9 JOURNAL OF MODERN DYNAMICS 45525 1% 24% 59
10 TOPOLOGY AND ITS APPLICATIONS 38279 3% 4% 275

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LIMIT CYCLE 714112 6% 35% 634 Search LIMIT+CYCLE Search LIMIT+CYCLE
2 ABELIAN INTEGRALS 312155 1% 87% 112 Search ABELIAN+INTEGRALS Search ABELIAN+INTEGRALS
3 NIELSEN NUMBER 267024 1% 96% 87 Search NIELSEN+NUMBER Search NIELSEN+NUMBER
4 EXPONENTIAL DICHOTOMY 267002 2% 53% 158 Search EXPONENTIAL+DICHOTOMY Search EXPONENTIAL+DICHOTOMY
5 CONLEY INDEX 219830 1% 68% 100 Search CONLEY+INDEX Search CONLEY+INDEX
6 ISOCHRONOUS CENTER 205875 1% 96% 67 Search ISOCHRONOUS+CENTER Search ISOCHRONOUS+CENTER
7 PARTIAL HYPERBOLICITY 197922 1% 91% 68 Search PARTIAL+HYPERBOLICITY Search PARTIAL+HYPERBOLICITY
8 DOMINATED SPLITTING 194221 1% 92% 66 Search DOMINATED+SPLITTING Search DOMINATED+SPLITTING
9 POLYNOMIAL VECTOR FIELDS 177899 1% 83% 67 Search POLYNOMIAL+VECTOR+FIELDS Search POLYNOMIAL+VECTOR+FIELDS
10 MELNIKOV FUNCTION 175310 1% 61% 89 Search MELNIKOV+FUNCTION Search MELNIKOV+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 2


rank cluster_id2 link
1 2910 INVERSE LIMIT//CONTINUUM//TOPOLOGY AND ITS APPLICATIONS
2 2747 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
3 865 ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET
4 1935 COUPLED MAP LATTICE//STRANGE NONCHAOTIC ATTRACTORS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
5 4177 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
6 1386 STOCHASTIC AVERAGING//NONLINEAR ENERGY SINK//JOURNAL OF SOUND AND VIBRATION
7 887 PERMANENCE//HOPF BIFURCATION//PREDATOR PREY SYSTEM
8 1026 MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY
9 1525 MATHEMATICS//HOLOMORPHIC FOLIATION//PLURISUBHARMONIC FUNCTION
10 2680 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC

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