Class information for:
Level 1: IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17049 620 19.0 35%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
2135 2             ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS 5069
17049 1                   IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT 620

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 IMPLICITLY DEFINED CURVE authKW 246247 1% 100% 5
2 BIALTERNATE PRODUCT authKW 221619 1% 75% 6
3 UNILATERAL DYNAMIC CONTACT authKW 196997 1% 100% 4
4 VON KARMAN EQUATIONS authKW 172956 2% 29% 12
5 BORDERED MATRICES authKW 157596 1% 80% 4
6 NUMERICAL CONTINUATION METHODS authKW 157596 1% 80% 4
7 TAKENS BOGDANOV POINT authKW 153900 1% 63% 5
8 BIFURCATIONS OF FIXED POINTS authKW 147748 0% 100% 3
9 IMPERFECT BIFURCATION DIAGRAMS authKW 147748 0% 100% 3
10 MATH TEACHING DISTANCE LEARNING address 147748 0% 100% 3

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 21446 73% 0% 452
2 Mathematics 1276 21% 0% 128
3 Mathematics, Interdisciplinary Applications 679 8% 0% 49
4 Computer Science, Theory & Methods 263 6% 0% 39
5 Mechanics 205 7% 0% 45
6 Physics, Mathematical 117 5% 0% 28
7 Computer Science, Interdisciplinary Applications 108 4% 0% 26
8 Computer Science, Software Engineering 51 3% 0% 16
9 Engineering, General 26 2% 0% 13
10 Engineering, Chemical 5 3% 0% 17

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATH TEACHING DISTANCE LEARNING 147748 0% 100% 3
2 ASSOCIE ANAL NUMER 189 49249 0% 100% 1
3 CALCULATE MATH CYBERNET 49249 0% 100% 1
4 CIVIL ENGN STU 49249 0% 100% 1
5 CNR ANAL NUMER 49249 0% 100% 1
6 CNR IST ANAL NUMER 49249 0% 100% 1
7 DEP ENERGET S STECCO 49249 0% 100% 1
8 INFORMATIETECHNOL 49249 0% 100% 1
9 MATH PL CNRS EQUIPE RECH 747 49249 0% 100% 1
10 PL MATH 217 50 49249 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SIAM JOURNAL ON NUMERICAL ANALYSIS 32513 8% 1% 52
2 COMPUTING 19459 4% 1% 27
3 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 18760 3% 2% 18
4 RAIRO-ANALYSE NUMERIQUE-NUMERICAL ANALYSIS 16857 1% 7% 5
5 NUMERISCHE MATHEMATIK 14835 5% 1% 30
6 IMA JOURNAL OF NUMERICAL ANALYSIS 9816 3% 1% 17
7 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 9131 5% 1% 32
8 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 6834 4% 1% 26
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 6620 6% 0% 37
10 JOURNAL OF COMPUTATIONAL MATHEMATICS 4442 2% 1% 11

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 IMPLICITLY DEFINED CURVE 246247 1% 100% 5 Search IMPLICITLY+DEFINED+CURVE Search IMPLICITLY+DEFINED+CURVE
2 BIALTERNATE PRODUCT 221619 1% 75% 6 Search BIALTERNATE+PRODUCT Search BIALTERNATE+PRODUCT
3 UNILATERAL DYNAMIC CONTACT 196997 1% 100% 4 Search UNILATERAL+DYNAMIC+CONTACT Search UNILATERAL+DYNAMIC+CONTACT
4 VON KARMAN EQUATIONS 172956 2% 29% 12 Search VON+KARMAN+EQUATIONS Search VON+KARMAN+EQUATIONS
5 BORDERED MATRICES 157596 1% 80% 4 Search BORDERED+MATRICES Search BORDERED+MATRICES
6 NUMERICAL CONTINUATION METHODS 157596 1% 80% 4 Search NUMERICAL+CONTINUATION+METHODS Search NUMERICAL+CONTINUATION+METHODS
7 TAKENS BOGDANOV POINT 153900 1% 63% 5 Search TAKENS+BOGDANOV+POINT Search TAKENS+BOGDANOV+POINT
8 BIFURCATIONS OF FIXED POINTS 147748 0% 100% 3 Search BIFURCATIONS+OF+FIXED+POINTS Search BIFURCATIONS+OF+FIXED+POINTS
9 IMPERFECT BIFURCATION DIAGRAMS 147748 0% 100% 3 Search IMPERFECT+BIFURCATION+DIAGRAMS Search IMPERFECT+BIFURCATION+DIAGRAMS
10 MINIMALLY EXTENDED SYSTEMS 147748 0% 100% 3 Search MINIMALLY+EXTENDED+SYSTEMS Search MINIMALLY+EXTENDED+SYSTEMS

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BINDEL, D , FRIEDMAN, M , GOVAERTS, W , HUGHES, J , KUZNETSOV, YA , (2014) NUMERICAL COMPUTATION OF BIFURCATIONS IN LARGE EQUILIBRIUM SYSTEMS IN MATLAB.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 261. ISSUE . P. 232 -248 15 83% 5
2 GOVAERTS, W , (1997) COMPUTATION OF SINGULARITIES IN LARGE NONLINEAR SYSTEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 34. ISSUE 3. P. 867-880 19 100% 1
3 DIECI, L , PAPINI, A , PUGLIESE, A , SPADONI, A , (2014) CONTINUOUS DECOMPOSITIONS AND COALESCING EIGENVALUES FOR MATRICES DEPENDING ON PARAMETERS.CURRENT CHALLENGES IN STABILITY ISSUES FOR NUMERICAL DIFFERENTIAL EQUATIONS, CETRARO, ITALY 2011. VOL. 2082. ISSUE . P. 173 -264 21 53% 0
4 CHIEN, CS , CHEN, MS , (1997) MULTIPLE BIFURCATION IN THE VON KARMAN EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 18. ISSUE 6. P. 1737-1766 16 100% 8
5 RHEINBOLDT, WC , (2000) NUMERICAL CONTINUATION METHODS: A PERSPECTIVE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 124. ISSUE 1-2. P. 229 -244 16 84% 14
6 HERMANN, M , KUNKEL, P , MIDDELMANN, W , (1998) AUGMENTED SYSTEMS FOR THE COMPUTATION OF SINGULAR POINTS IN BANACH SPACE PROBLEMS.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. VOL. 78. ISSUE 1. P. 39 -50 17 85% 2
7 KUNKEL, P , (1996) A TREE-BASED ANALYSIS OF A FAMILY OF AUGMENTED SYSTEMS FOR THE COMPUTATION OF SINGULAR POINTS.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 16. ISSUE 4. P. 501-527 16 94% 7
8 SHEN, YQ , YPMA, TJ , (2008) NUMERICAL BIFURCATION OF SEPARABLE PARAMETERIZED EQUATIONS.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 34. ISSUE . P. 31-43 12 86% 0
9 CHANG, SL , CHIEN, CS , JENG, BW , (2005) TRACING THE SOLUTION SURFACE WITH FOLDS OF A TWO-PARAMETER SYSTEM.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 15. ISSUE 8. P. 2689 -2700 14 78% 8
10 SEYDEL, R , (1997) NONLINEAR COMPUTATION.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 7. ISSUE 9. P. 2105 -2126 20 67% 16

Classes with closest relation at Level 1


Rank Class id link
1 17322 NUMERICAL ALGEBRAIC GEOMETRY//POLYNOMIAL SYSTEMS//HOMOTOPY CONTINUATION
2 15072 ASYMPTOTIC NUMERICAL METHOD//CALCUL SCI MECAN//BIFURCATION INDICATOR
3 14920 NEUROCYCLE//ACETYLCHOLINESTERASE CHOLINEACETYLTRANSFERASE//PARAMETRIC REPRESENTATION METHOD
4 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
5 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
6 28229 ABC MATH PROGRAM//SPECTRAL SUBSPACE//ISOSPECTRAL GRAPH REDUCTION
7 24452 EXCELLENCE FUNDAMENTAL STUDIES STRUCT ENGN//REGULAR STRUCTURES//CONFIGURATION PROCESSING
8 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
9 36125 KNOT ELECTRODYNAMICS//ACCOMPANYING LINEAR FORMS//COPPER MOLYBDENUM COMPOSITE
10 25061 BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM

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