Class information for:
Level 1: CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14916 742 21.5 42%


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
197 3       CHAOS//INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//PHYSICS, MATHEMATICAL 53660
386 2             ERGODIC THEORY AND DYNAMICAL SYSTEMS//NONLINEARITY//TOPOLOGICAL ENTROPY 16977
14916 1                   CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF 742

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 CONLEY INDEX authKW 2366425 12% 63% 91
2 RIGOROUS NUMERICS authKW 941567 4% 74% 31
3 COMPUTER ASSISTED PROOF authKW 765565 5% 47% 40
4 ISOLATED INVARIANT SET authKW 448087 2% 78% 14
5 INDEX PAIR authKW 383021 1% 85% 11
6 ISOLATING SEGMENTS authKW 348570 2% 71% 12
7 TOPOLOGICAL HORSESHOES authKW 316545 1% 77% 10
8 CONNECTING ORBITS authKW 252037 2% 44% 14
9 COVERING RELATIONS authKW 238084 1% 64% 9
10 HOMOLOGY INDEX BRAIDS authKW 205757 1% 100% 5

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 16276 58% 0% 433
2 Mathematics 13623 58% 0% 432
3 Physics, Mathematical 4393 22% 0% 162
4 Mathematics, Interdisciplinary Applications 793 8% 0% 58
5 Physics, Multidisciplinary 70 6% 0% 46
6 Computer Science, Theory & Methods 51 3% 0% 22
7 Mechanics 19 3% 0% 21
8 Computer Science, Software Engineering 7 1% 0% 9
9 Physics, Fluids & Plasmas 5 1% 0% 9
10 Cultural Studies 1 0% 0% 1

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 DYNAM SYST NONLINEAR STUDIES 136139 2% 22% 15
2 COMP SCI COMPUTAT MATH 74070 0% 60% 3
3 BASQUE PL MATH 41151 0% 100% 1
4 BMW GRP CO 41151 0% 100% 1
5 CIENCIAS MATH SAO CARLO 41151 0% 100% 1
6 DIPARTIMENTO MATEMAT MOX 41151 0% 100% 1
7 HGRP REGELUNGSTECH MECHATRON 41151 0% 100% 1
8 MATH JUSSIEU GEOMETRIE DYNAM 41151 0% 100% 1
9 RECH MATEMAT PHYS 41151 0% 100% 1
10 XIASHA DEV AREA 41151 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 APPLIED DYNAMICAL SYSTEMS 129589 6% 7% 47
2 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 81115 5% 6% 34
3 JOURNAL OF DIFFERENTIAL EQUATIONS 32996 10% 1% 76
4 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 20496 2% 4% 14
5 ERGODIC THEORY AND DYNAMICAL SYSTEMS 11549 4% 1% 26
6 NONLINEARITY 9893 4% 1% 28
7 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 9121 5% 1% 35
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 7681 3% 1% 25
9 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 4916 1% 2% 7
10 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 3332 1% 1% 6

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 CONLEY INDEX 2366425 12% 63% 91 Search CONLEY+INDEX Search CONLEY+INDEX
2 RIGOROUS NUMERICS 941567 4% 74% 31 Search RIGOROUS+NUMERICS Search RIGOROUS+NUMERICS
3 COMPUTER ASSISTED PROOF 765565 5% 47% 40 Search COMPUTER+ASSISTED+PROOF Search COMPUTER+ASSISTED+PROOF
4 ISOLATED INVARIANT SET 448087 2% 78% 14 Search ISOLATED+INVARIANT+SET Search ISOLATED+INVARIANT+SET
5 INDEX PAIR 383021 1% 85% 11 Search INDEX+PAIR Search INDEX+PAIR
6 ISOLATING SEGMENTS 348570 2% 71% 12 Search ISOLATING+SEGMENTS Search ISOLATING+SEGMENTS
7 TOPOLOGICAL HORSESHOES 316545 1% 77% 10 Search TOPOLOGICAL+HORSESHOES Search TOPOLOGICAL+HORSESHOES
8 CONNECTING ORBITS 252037 2% 44% 14 Search CONNECTING+ORBITS Search CONNECTING+ORBITS
9 COVERING RELATIONS 238084 1% 64% 9 Search COVERING+RELATIONS Search COVERING+RELATIONS
10 HOMOLOGY INDEX BRAIDS 205757 1% 100% 5 Search HOMOLOGY+INDEX+BRAIDS Search HOMOLOGY+INDEX+BRAIDS

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 LESSARD, JP , JAMES, JDM , RANSFORD, J , (2016) AUTOMATIC DIFFERENTIATION FOR FOURIER SERIES AND THE RADII POLYNOMIAL APPROACH.PHYSICA D-NONLINEAR PHENOMENA. VOL. 334. ISSUE . P. 174 -186 46 69% 1
2 JAMES, JDM , (2015) POLYNOMIAL APPROXIMATION OF ONE PARAMETER FAMILIES OF (UN)STABLE MANIFOLDS WITH RIGOROUS COMPUTER ASSISTED ERROR BOUNDS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 26. ISSUE 1. P. 225 -265 37 80% 5
3 DE LA LLAVE, R , JAMES, JDM , (2016) CONNECTING ORBITS FOR COMPACT INFINITE DIMENSIONAL MAPS: COMPUTER ASSISTED PROOFS OF EXISTENCE.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 15. ISSUE 2. P. 1268 -1323 45 69% 0
4 JAMES, JDM , (2015) COMPUTER ASSISTED ERROR BOUNDS FOR LINEAR APPROXIMATION OF (UN)STABLE MANIFOLDS AND RIGOROUS VALIDATION OF HIGHER DIMENSIONAL TRANSVERSE CONNECTING ORBITS.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 22. ISSUE 1-3. P. 1102 -1133 36 80% 0
5 LESSARD, JP , JAMES, JDM , BREDEN, M , (2016) COMPUTATION OF MAXIMAL LOCAL (UN)STABLE MANIFOLD PATCHES BY THE PARAMETERIZATION METHOD.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 27. ISSUE 1. P. 340 -367 32 73% 1
6 LESSARD, JP , JAMES, JDM , REINHARDT, C , (2014) COMPUTER ASSISTED PROOF OF TRANSVERSE SADDLE-TO-SADDLE CONNECTING ORBITS FOR FIRST ORDER VECTOR FIELDS.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. VOL. 26. ISSUE 2. P. 267 -313 23 85% 7
7 HUNGRIA, A , LESSARD, JP , JAMES, JDM , (2016) RIGOROUS NUMERICS FOR ANALYTIC SOLUTIONS OF DIFFERENTIAL EQUATIONS: THE RADII POLYNOMIAL APPROACH.MATHEMATICS OF COMPUTATION. VOL. 85. ISSUE 299. P. 1427 -1459 22 81% 1
8 WALAWSKA, I , WILCZAK, D , (2016) AN IMPLICIT ALGORITHM FOR VALIDATED ENCLOSURES OF THE SOLUTIONS TO VARIATIONAL EQUATIONS FOR ODES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 291. ISSUE . P. 303 -322 22 88% 0
9 JAMES, JDM , MISCHAIKOW, K , (2013) RIGOROUS A POSTERIORI COMPUTATION OF (UN)STABLE MANIFOLDS AND CONNECTING ORBITS FOR ANALYTIC MAPS.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 12. ISSUE 2. P. 957-1006 27 73% 3
10 DESCHENES, A , LESSARD, JP , JAMES, JDM , VAN DEN BERG, JB , (2015) STATIONARY COEXISTENCE OF HEXAGONS AND ROLLS VIA RIGOROUS COMPUTATIONS.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 14. ISSUE 2. P. 942 -979 22 81% 2

Classes with closest relation at Level 1


Rank Class id link
1 26225 COARSE SHAPE//PRO CATEGORY//HOMOTOPY EPIMORPHISM
2 15600 ORBIT FLIP//INCLINATION FLIP//T POINT
3 25007 NUMERICAL VERIFICATION//SPECTRAL POLLUTION//NUMERICAL VERIFICATION METHOD
4 20817 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS
5 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
6 12440 EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY
7 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
8 18169 STRANGE NONCHAOTIC ATTRACTORS//QUASIPERIODICALLY FORCED SYSTEMS//ARNOLD RESONANCE WEB
9 9161 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
10 21424 ROTATION SET//PSEUDO CIRCLE//TORUS HOMEOMORPHISMS

Go to start page