Class information for:
Level 1: SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD

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
37779 1                   SADDLE CONNECTIONS//BLOWING UPS//TANGENT VECTOR FIELD 76

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SADDLE CONNECTIONS authKW 947880 5% 57% 4
2 BLOWING UPS authKW 933071 4% 75% 3
3 TANGENT VECTOR FIELD authKW 466533 4% 38% 3
4 GLOBAL TOPOLOGICAL EQUIVALENCE authKW 414699 1% 100% 1
5 OSCILLATING TRAJECTORY authKW 414699 1% 100% 1
6 SPINNING IN AVERAGE authKW 414699 1% 100% 1
7 INVARIANT CONE authKW 219542 4% 18% 3
8 DPTO ALGEBRA GEOMET TOPOL address 207348 1% 50% 1
9 HOMOGENEOUS VECTOR FIELD authKW 207348 1% 50% 1
10 NEWTON LORENTZ EQUATION authKW 207348 1% 50% 1

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 2683 80% 0% 61
2 Mathematics, Applied 552 34% 0% 26
3 Physics, Mathematical 73 9% 0% 7
4 Mechanics 11 5% 0% 4
5 Physics, Multidisciplinary 0 3% 0% 2
6 Materials Science, Multidisciplinary -1 1% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DPTO ALGEBRA GEOMET TOPOL 207348 1% 50% 1
2 DPTO ALGEBRA GEOMETRIA TOPOL 46076 1% 11% 1
3 TOPOL 23468 4% 2% 3
4 ALGEBRA GEOMETR TOPOL 19746 1% 5% 1
5 DPTO ESTADIST INVEST OPERAT 16923 3% 2% 2
6 MATEMAT CC 6910 1% 2% 1
7 UMR 5584 4977 3% 1% 2
8 FIS TEOR 2 1092 1% 0% 1
9 MATEMAT 855 11% 0% 8
10 ESTADIST INVEST OPERAT 406 1% 0% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF DIFFERENTIAL EQUATIONS 18136 24% 0% 18
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 8190 9% 0% 7
3 DYNAMICS AND STABILITY OF SYSTEMS 3397 1% 1% 1
4 PUBLICATIONS MATHEMATIQUES 3047 1% 1% 1
5 TOPOLOGY 2863 4% 0% 3
6 NONLINEARITY 1976 5% 0% 4
7 ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS 1782 4% 0% 3
8 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 1300 3% 0% 2
9 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 1058 4% 0% 3
10 ANNALS OF MATHEMATICS 929 3% 0% 2

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SADDLE CONNECTIONS 947880 5% 57% 4 Search SADDLE+CONNECTIONS Search SADDLE+CONNECTIONS
2 BLOWING UPS 933071 4% 75% 3 Search BLOWING+UPS Search BLOWING+UPS
3 TANGENT VECTOR FIELD 466533 4% 38% 3 Search TANGENT+VECTOR+FIELD Search TANGENT+VECTOR+FIELD
4 GLOBAL TOPOLOGICAL EQUIVALENCE 414699 1% 100% 1 Search GLOBAL+TOPOLOGICAL+EQUIVALENCE Search GLOBAL+TOPOLOGICAL+EQUIVALENCE
5 OSCILLATING TRAJECTORY 414699 1% 100% 1 Search OSCILLATING+TRAJECTORY Search OSCILLATING+TRAJECTORY
6 SPINNING IN AVERAGE 414699 1% 100% 1 Search SPINNING+IN+AVERAGE Search SPINNING+IN+AVERAGE
7 INVARIANT CONE 219542 4% 18% 3 Search INVARIANT+CONE Search INVARIANT+CONE
8 HOMOGENEOUS VECTOR FIELD 207348 1% 50% 1 Search HOMOGENEOUS+VECTOR+FIELD Search HOMOGENEOUS+VECTOR+FIELD
9 NEWTON LORENTZ EQUATION 207348 1% 50% 1 Search NEWTON+LORENTZ+EQUATION Search NEWTON+LORENTZ+EQUATION
10 QUASI HOMOGENEOUS SYSTEM 138232 1% 33% 1 Search QUASI+HOMOGENEOUS+SYSTEM Search QUASI+HOMOGENEOUS+SYSTEM

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 17410 HETEROCLINIC NETWORK//COUPLED CELL NETWORKS//HETEROCLINIC CYCLE
2 15168 HOLOMORPHIC FOLIATION//REDUCTION OF SINGULARITIES//ANALYTIC CLASSIFICATION
3 14804 ORBIT FLIP//INCLINATION FLIP//T POINT
4 6991 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
5 30650 NUCLEATION OF DEFECTS//MOVING LAYERS//MULTI MODE INELASTICITY
6 20968 ROTATION SET//TORUS HOMEOMORPHISMS//PLANAR HOMEOMORPHISM
7 1903 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
8 20370 MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS
9 23582 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//HILBERTS PROJECTIVE METRIC
10 27603 MATRIX PENCIL THEORY//MATRIX DIFFERENCE EQUATIONS//FIBONACCI QUARTERLY

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