Class information for:
Level 1: METHOD OF ORIENTING CURVES//DENSE WINDING//COINCIDENCE AND NON COINCIDENCE SET

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
37534 55 13.8 27%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
74 3       AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//AUTOMATICA 82579
2787 2             BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT 3108
37534 1                   METHOD OF ORIENTING CURVES//DENSE WINDING//COINCIDENCE AND NON COINCIDENCE SET 55

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 METHOD OF ORIENTING CURVES authKW 2775974 9% 100% 5
2 DENSE WINDING authKW 1110390 4% 100% 2
3 COINCIDENCE AND NON COINCIDENCE SET authKW 555195 2% 100% 1
4 CONVEX HULL ALGORITHMS authKW 555195 2% 100% 1
5 CONVEX ROPES authKW 555195 2% 100% 1
6 EXISTENCE OF AN OPTIMAL SEARCH TRAJECTORY authKW 555195 2% 100% 1
7 GIFT WRAPPING ALGORITHM authKW 555195 2% 100% 1
8 GRAHAMS CONVEX HULL ALGORITHM authKW 555195 2% 100% 1
9 INTEGRABLE AND SUPERINTEGRABLE SYSTEMS authKW 555195 2% 100% 1
10 MCDANELL CONJECTURE authKW 555195 2% 100% 1

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 Automation & Control Systems 1373 33% 0% 18
2 Operations Research & Management Science 686 25% 0% 14
3 Mathematics, Applied 454 36% 0% 20
4 COMPUTER APPLICATIONS & CYBERNETICS 211 2% 0% 1
5 Mathematics 206 27% 0% 15
6 Multidisciplinary Sciences 53 5% 0% 3
7 Physics, Mathematical 6 4% 0% 2
8 Mathematical & Computational Biology 4 2% 0% 1
9 Mechanics 3 4% 0% 2
10 Computer Science, Theory & Methods 1 2% 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 MECH MATH 17522 18% 0% 10
2 CEMAT 11872 4% 1% 2
3 JEAN KUNTZMANN 5493 4% 0% 2
4 BIO ERS MOL ECOL 3082 2% 1% 1
5 WOODS ENVIRONM 1519 2% 0% 1
6 MATH SECT 1503 2% 0% 1
7 INTERDISCIPLINARY SCI COMP 1289 2% 0% 1
8 ST PETERSBURG 1184 2% 0% 1
9 HOPKINS MARINE STN 645 2% 0% 1
10 CONTROL SYST 641 2% 0% 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 SBORNIK MATHEMATICS 5742 7% 0% 4
2 SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES 5606 2% 1% 1
3 INTERNATIONAL JOURNAL OF CONTROL 5503 15% 0% 8
4 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 4780 5% 0% 3
5 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 4747 7% 0% 4
6 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 3947 11% 0% 6
7 EKONOMICKO-MATEMATICKY OBZOR 3908 2% 1% 1
8 SYSTEMS & CONTROL LETTERS 3430 9% 0% 5
9 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 2832 4% 0% 2
10 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 2146 4% 0% 2

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 METHOD OF ORIENTING CURVES 2775974 9% 100% 5 Search METHOD+OF+ORIENTING+CURVES Search METHOD+OF+ORIENTING+CURVES
2 DENSE WINDING 1110390 4% 100% 2 Search DENSE+WINDING Search DENSE+WINDING
3 COINCIDENCE AND NON COINCIDENCE SET 555195 2% 100% 1 Search COINCIDENCE+AND+NON+COINCIDENCE+SET Search COINCIDENCE+AND+NON+COINCIDENCE+SET
4 CONVEX HULL ALGORITHMS 555195 2% 100% 1 Search CONVEX+HULL+ALGORITHMS Search CONVEX+HULL+ALGORITHMS
5 CONVEX ROPES 555195 2% 100% 1 Search CONVEX+ROPES Search CONVEX+ROPES
6 EXISTENCE OF AN OPTIMAL SEARCH TRAJECTORY 555195 2% 100% 1 Search EXISTENCE+OF+AN+OPTIMAL+SEARCH+TRAJECTORY Search EXISTENCE+OF+AN+OPTIMAL+SEARCH+TRAJECTORY
7 GIFT WRAPPING ALGORITHM 555195 2% 100% 1 Search GIFT+WRAPPING+ALGORITHM Search GIFT+WRAPPING+ALGORITHM
8 GRAHAMS CONVEX HULL ALGORITHM 555195 2% 100% 1 Search GRAHAMS+CONVEX+HULL+ALGORITHM Search GRAHAMS+CONVEX+HULL+ALGORITHM
9 INTEGRABLE AND SUPERINTEGRABLE SYSTEMS 555195 2% 100% 1 Search INTEGRABLE+AND+SUPERINTEGRABLE+SYSTEMS Search INTEGRABLE+AND+SUPERINTEGRABLE+SYSTEMS
10 MCDANELL CONJECTURE 555195 2% 100% 1 Search MCDANELL+CONJECTURE Search MCDANELL+CONJECTURE

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 PHU, HX , (1992) INVESTIGATION OF A MACROECONOMIC MODEL BY THE METHOD OF REGION ANALYSIS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 72. ISSUE 2. P. 319-332 8 100% 0
2 LOKUTSIEVSKII, LV , (2014) SINGULAR REGIMES IN CONTROLLED SYSTEMS WITH MULTIDIMENSIONAL CONTROL IN A POLYHEDRON.IZVESTIYA MATHEMATICS. VOL. 78. ISSUE 5. P. 1006 -1027 3 100% 1
3 PHU, HX , BOCK, HG , (2013) A COMMON REGULARIZATION FOR THREE RESERVOIR OPTIMAL CONTROL PROBLEMS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 157. ISSUE 1. P. 199-228 6 38% 0
4 MEESOMBOON, A , BELL, DJ , (2002) JUNCTION POINTS IN SINGULAR OPTIMAL CONTROL.INTERNATIONAL JOURNAL OF CONTROL. VOL. 75. ISSUE 14. P. 1049-1053 3 100% 1
5 PHU, HX , LONG, TD , (2002) ORIENTING METHOD FOR OBSTACLE PROBLEMS.ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. VOL. 21. ISSUE 1. P. 233-248 3 100% 0
6 PHU, HX , (1991) METHOD OF ORIENTING CURVES FOR SOLVING OPTIMAL-CONTROL PROBLEMS WITH STATE CONSTRAINTS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 12. ISSUE 1-2. P. 173-211 6 75% 5
7 PHU, HX , (1989) A SOLUTION METHOD FOR REGULAR OPTIMAL-CONTROL PROBLEMS WITH STATE CONSTRAINTS.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 62. ISSUE 3. P. 489-513 5 100% 0
8 LOKUTSIEVSKIY, LV , (2015) ON AN OPTIMAL FLOW IN A CLASS OF NILPOTENT CONVEX PROBLEMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 291. ISSUE 1. P. 146 -169 2 100% 0
9 LOKUTSIEVSKY, LV , (2014) THE HAMILTONIAN PROPERTY OF THE FLOW OF SINGULAR TRAJECTORIES.SBORNIK MATHEMATICS. VOL. 205. ISSUE 3. P. 432 -458 2 100% 0
10 HILDEBRAND, R , LOKUTSIEVSKIY, LV , ZELIKIN, MI , (2013) GENERIC FRACTAL STRUCTURE OF FINITE PARTS OF TRAJECTORIES OF PIECEWISE SMOOTH HAMILTONIAN SYSTEMS.RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS. VOL. 20. ISSUE 1. P. 25-32 2 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 25105 VALUED FIELDS//NON ARCHIMEDEAN VALUED FIELDS//MONTES ALGORITHM
2 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
3 27880 BRACHISTOCHRONE//BRACHISTOCHRONIC MOTION//DISCHARGE CHUTES
4 31042 COUPLING RESISTOR//IN AND ANTI PHASE SYNCHRONIZATION//PULSED DIGITAL OSCILLATORS
5 16784 TRAJECTORY PLANNING//MAXIMUM PAYLOAD//DLCC
6 21756 VINTAGE CAPITAL MODELS//EQUIPMENT REPLACEMENT//VINTAGE CAPITAL
7 19524 INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS
8 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
9 20263 COOPERATIVE ADVERTISING//CO OP ADVERTISING//LANCHESTER MODELS
10 25419 DISCRETE GEODESICS//FERMAT WEBER CENTER//GRID UNFOLDING

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