Class information for:
Level 1: MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21525 415 20.5 37%


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
21525 1                   MORSE SMALE DIFFEOMORPHISM//MATH 4408//NMS SYSTEMS 415

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 MORSE SMALE DIFFEOMORPHISM authKW 690811 3% 72% 13
2 MATH 4408 address 441470 1% 100% 6
3 NMS SYSTEMS authKW 441470 1% 100% 6
4 LYAPUNOV GRAPHS authKW 367892 1% 100% 5
5 ROUND HANDLE DECOMPOSITION authKW 306575 1% 83% 5
6 EXPANDING ATTRACTOR authKW 294313 1% 100% 4
7 GRADIENT LIKE DIFFEOMORPHISM authKW 294313 1% 100% 4
8 LINKS OF PERIODIC ORBITS authKW 294313 1% 100% 4
9 SMALE FLOWS authKW 294313 1% 100% 4
10 LORENZ KNOTS authKW 220735 1% 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 5873 51% 0% 213
2 Physics, Mathematical 5250 32% 0% 131
3 Mathematics, Applied 2467 31% 0% 129
4 Mathematics, Interdisciplinary Applications 1060 12% 0% 49
5 Physics, Multidisciplinary 987 23% 0% 97
6 Physics, Fluids & Plasmas 496 9% 0% 37
7 Physics, Atomic, Molecular & Chemical 8 3% 0% 13
8 Optics 8 3% 0% 14
9 Mechanics 4 2% 0% 9
10 Art 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 MATH 4408 441470 1% 100% 6
2 CORIA UMR 6614 113020 3% 12% 13
3 PL MATH CYBERNET 92920 3% 11% 12
4 CRP ANAL TOPOL MODELISAT SYST DYNAM 73578 0% 100% 1
5 ETUD RECH LASERS PLICAT PHYS LASERS A 73578 0% 100% 1
6 FCEN FIS 73578 0% 100% 1
7 HLM 73578 0% 100% 1
8 IMAC UNIV MATEMAT LICAC CASTELLON 73578 0% 100% 1
9 MATEMAT ESTAT COMPUTACAO CIENTIFICA 73578 0% 100% 1
10 MATEMAT MATEMAT 73578 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 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 14543 8% 1% 33
2 ERGODIC THEORY AND DYNAMICAL SYSTEMS 8834 4% 1% 17
3 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 8386 3% 1% 14
4 RUSSIAN MATHEMATICAL SURVEYS 6719 4% 1% 15
5 TOPOLOGY AND ITS APPLICATIONS 4807 5% 0% 20
6 MATHEMATICAL NOTES 4763 4% 0% 18
7 REGULAR & CHAOTIC DYNAMICS 3906 1% 1% 6
8 SBORNIK MATHEMATICS 3840 2% 1% 9
9 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 3439 2% 1% 7
10 PHYSICA D 2469 1% 1% 5

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 MORSE SMALE DIFFEOMORPHISM 690811 3% 72% 13 Search MORSE+SMALE+DIFFEOMORPHISM Search MORSE+SMALE+DIFFEOMORPHISM
2 NMS SYSTEMS 441470 1% 100% 6 Search NMS+SYSTEMS Search NMS+SYSTEMS
3 LYAPUNOV GRAPHS 367892 1% 100% 5 Search LYAPUNOV+GRAPHS Search LYAPUNOV+GRAPHS
4 ROUND HANDLE DECOMPOSITION 306575 1% 83% 5 Search ROUND+HANDLE+DECOMPOSITION Search ROUND+HANDLE+DECOMPOSITION
5 EXPANDING ATTRACTOR 294313 1% 100% 4 Search EXPANDING+ATTRACTOR Search EXPANDING+ATTRACTOR
6 GRADIENT LIKE DIFFEOMORPHISM 294313 1% 100% 4 Search GRADIENT+LIKE+DIFFEOMORPHISM Search GRADIENT+LIKE+DIFFEOMORPHISM
7 LINKS OF PERIODIC ORBITS 294313 1% 100% 4 Search LINKS+OF+PERIODIC+ORBITS Search LINKS+OF+PERIODIC+ORBITS
8 SMALE FLOWS 294313 1% 100% 4 Search SMALE+FLOWS Search SMALE+FLOWS
9 LORENZ KNOTS 220735 1% 100% 3 Search LORENZ+KNOTS Search LORENZ+KNOTS
10 SURFACE BASIC SET 220735 1% 100% 3 Search SURFACE+BASIC+SET Search SURFACE+BASIC+SET

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 GRINES, VZ , POCHINKA, OV , (2013) MORSE-SMALE CASCADES ON 3-MANIFOLDS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 1. P. 117 -173 16 100% 2
2 ZHUZHOMA, EV , MEDVEDEV, VS , (2008) GLOBAL DYNAMICS OF MORSE-SMALE SYSTEMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 261. ISSUE 1. P. 112-135 22 76% 1
3 YU, B , (2013) LYAPUNOV GRAPHS OF NONSINGULAR SMALE FLOWS ON S-1 X S-2.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 365. ISSUE 2. P. 767-783 12 100% 1
4 PLUMECOQ, J , LEFRANC, M , (2000) FROM TEMPLATE ANALYSIS TO GENERATING PARTITIONS I: PERIODIC ORBITS, KNOTS AND SYMBOLIC ENCODINGS.PHYSICA D-NONLINEAR PHENOMENA. VOL. 144. ISSUE 3-4. P. 231 -258 31 53% 32
5 YU, B , (2016) BEHAVIOR 0 NONSINGULAR MORSE SMALE FLOWS ON S-3.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 1. P. 509 -540 10 100% 0
6 USED, J , MARTIN, JC , (2010) MULTIPLE TOPOLOGICAL STRUCTURES OF CHAOTIC ATTRACTORS RULING THE EMISSION OF A DRIVEN LASER.PHYSICAL REVIEW E. VOL. 82. ISSUE 1. P. - 13 87% 4
7 GRINES, VZ , ZHUZHOMA, EV , MEDVEDEV, VS , POCHINKA, OV , (2010) GLOBAL ATTRACTOR AND REPELLER OF MORSE-SMALE DIFFEOMORPHISMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 271. ISSUE 1. P. 103 -124 12 92% 3
8 CROSS, DJ , GILMORE, R , (2013) DRESSED RETURN MAPS DISTINGUISH CHAOTIC MECHANISMS.PHYSICAL REVIEW E. VOL. 87. ISSUE 1. P. - 12 86% 1
9 GILMORE, R , ROSALIE, M , (2016) ALGORITHMS FOR CONCATENATING TEMPLATES.CHAOS. VOL. 26. ISSUE 3. P. - 11 85% 0
10 YU, B , (2012) THE TEMPLATES OF NON-SINGULAR SMALE FLOWS ON THREE MANIFOLDS.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 32. ISSUE . P. 1137 -1155 10 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 16171 SHARKOVSKIIS THEOREM//VERTEX MAPS//INTERVAL MAPS
2 25932 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//BVP OSCILLATOR
3 11352 LOSS MODULATION//TODA OSCILLATOR//MODE LOCKING PROCESS
4 25852 CLOSED 1 FORMS//MORSE FORM FOLIATION//MORSE CONJECTURE
5 1362 CORRELATION DIMENSION//SURROGATE DATA//CHAOS
6 3776 HIDDEN ATTRACTOR//HYPERCHAOS//CIRCUIT IMPLEMENTATION
7 8023 DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY
8 9183 PARAMETRIC PENDULUM//MELNIKOV CRITERION//MELNIKOV METHOD
9 5722 TEICHMULLER SPACE//MAPPING CLASS GROUP//KLEINIAN GROUPS
10 14916 CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF

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