Class information for:
Level 1: BRACHISTOCHRONE//BRACHISTOCHRONIC MOTION//DISCHARGE CHUTES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27880 219 11.7 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
27880 1                   BRACHISTOCHRONE//BRACHISTOCHRONIC MOTION//DISCHARGE CHUTES 219

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 BRACHISTOCHRONE authKW 1611811 8% 68% 17
2 BRACHISTOCHRONIC MOTION authKW 278862 1% 100% 2
3 DISCHARGE CHUTES authKW 278862 1% 100% 2
4 GEOHAZARDS MANAGEMENT authKW 278862 1% 100% 2
5 ISOCHRONOUS ROLLER DAMPER authKW 278862 1% 100% 2
6 RICCATI DIFFERENTIAL INEQUALITY authKW 278862 1% 100% 2
7 AREA MINIMIZING SURFACE authKW 185907 1% 67% 2
8 CONVEYOR TRANSFER authKW 185907 1% 67% 2
9 VIBROPROTECTION SYSTEM authKW 185907 1% 67% 2
10 2ND ORDER OPTIMALITY PRINCIPLE authKW 139431 0% 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 Mathematics, Applied 1299 31% 0% 68
2 Operations Research & Management Science 1178 17% 0% 37
3 Automation & Control Systems 743 12% 0% 27
4 Mathematics 513 22% 0% 48
5 Education, Scientific Disciplines 414 7% 0% 15
6 Mechanics 374 15% 0% 33
7 Computer Science, Theory & Methods 286 11% 0% 23
8 Computer Science, Cybernetics 243 3% 0% 7
9 COMPUTER APPLICATIONS & CYBERNETICS 210 1% 0% 2
10 Engineering, Aerospace 85 3% 0% 7

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 BULK SOLIDS PARTICULATE SOLIDS 139431 0% 100% 1
2 BUSINESS ADM MATH 139431 0% 100% 1
3 CARIBBEAN LAND ENVIRONM PRAISAL CLEAR 139431 0% 100% 1
4 CHAIR MACHINE DYNAM 139431 0% 100% 1
5 ESCUELA NACL PREPARATORIA 6 139431 0% 100% 1
6 MRPTI 139431 0% 100% 1
7 GEOINFORMAT ENVIRONM ASSESSMENT TECHNOL 92951 1% 33% 2
8 MECHATRON EV 69714 0% 50% 1
9 RIBA 69714 0% 50% 1
10 FED INFORMAT CONTROL 27885 0% 20% 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 AMERICAN MATHEMATICAL MONTHLY 14907 8% 1% 17
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 7947 8% 0% 17
3 UTILITAS MATHEMATICA 6831 4% 1% 9
4 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 6481 3% 1% 7
5 COLLEGE MATHEMATICS JOURNAL 6336 0% 5% 1
6 INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 5023 6% 0% 14
7 PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES-PHYSICS MATHEMATICS 4806 0% 3% 1
8 MECHANICS OF SOLIDS 3955 2% 1% 4
9 AMERICAN JOURNAL OF PHYSICS 3932 6% 0% 14
10 ABACUS-NEW YORK 3097 0% 2% 1

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 BRACHISTOCHRONE 1611811 8% 68% 17 Search BRACHISTOCHRONE Search BRACHISTOCHRONE
2 BRACHISTOCHRONIC MOTION 278862 1% 100% 2 Search BRACHISTOCHRONIC+MOTION Search BRACHISTOCHRONIC+MOTION
3 DISCHARGE CHUTES 278862 1% 100% 2 Search DISCHARGE+CHUTES Search DISCHARGE+CHUTES
4 GEOHAZARDS MANAGEMENT 278862 1% 100% 2 Search GEOHAZARDS+MANAGEMENT Search GEOHAZARDS+MANAGEMENT
5 ISOCHRONOUS ROLLER DAMPER 278862 1% 100% 2 Search ISOCHRONOUS+ROLLER+DAMPER Search ISOCHRONOUS+ROLLER+DAMPER
6 RICCATI DIFFERENTIAL INEQUALITY 278862 1% 100% 2 Search RICCATI+DIFFERENTIAL+INEQUALITY Search RICCATI+DIFFERENTIAL+INEQUALITY
7 AREA MINIMIZING SURFACE 185907 1% 67% 2 Search AREA+MINIMIZING+SURFACE Search AREA+MINIMIZING+SURFACE
8 CONVEYOR TRANSFER 185907 1% 67% 2 Search CONVEYOR+TRANSFER Search CONVEYOR+TRANSFER
9 VIBROPROTECTION SYSTEM 185907 1% 67% 2 Search VIBROPROTECTION+SYSTEM Search VIBROPROTECTION+SYSTEM
10 2ND ORDER OPTIMALITY PRINCIPLE 139431 0% 100% 1 Search 2ND+ORDER+OPTIMALITY+PRINCIPLE Search 2ND+ORDER+OPTIMALITY+PRINCIPLE

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 SALINIC, S , OBRADOVIC, A , MITROVIC, Z , RUSOV, S , (2012) BRACHISTOCHRONE WITH LIMITED REACTION OF CONSTRAINT IN AN ARBITRARY FORCE FIELD.NONLINEAR DYNAMICS. VOL. 69. ISSUE 1-2. P. 211-222 18 95% 1
2 OBRADOVIC, A , SALINIC, S , JEREMIC, O , MITROVIC, Z , (2014) ON THE BRACHISTOCHRONIC MOTION OF A VARIABLE-MASS MECHANICAL SYSTEM IN GENERAL FORCE FIELDS.MATHEMATICS AND MECHANICS OF SOLIDS. VOL. 19. ISSUE 4. P. 398 -410 20 77% 0
3 JEREMIC, O , SALINIC, S , OBRADOVIC, A , MITROVIC, Z , (2011) ON THE BRACHISTOCHRONE OF A VARIABLE MASS PARTICLE IN GENERAL FORCE FIELDS.MATHEMATICAL AND COMPUTER MODELLING. VOL. 54. ISSUE 11-12. P. 2900-2912 11 92% 5
4 SALINIC, S , OBRADOVIC, A , MITROVIC, Z , (2012) ON THE BRACHISTOCHRONIC MOTION OF MECHANICAL SYSTEMS WITH UNILATERAL CONSTRAINTS.MECHANICS RESEARCH COMMUNICATIONS. VOL. 45. ISSUE . P. 1-6 11 85% 0
5 VRATANAR, B , SAJE, M , (1998) ON THE ANALYTICAL SOLUTION OF THE BRACHISTOCHRONE PROBLEM IN A NON-CONSERVATIVE FIELD.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 33. ISSUE 3. P. 489-505 15 88% 10
6 LEGEZA, VP , (2010) BRACHISTOCHRONE FOR A ROLLING CYLINDER.MECHANICS OF SOLIDS. VOL. 45. ISSUE 1. P. 27-33 9 100% 2
7 SALINIC, S , (2009) CONTRIBUTION TO THE BRACHISTOCHRONE PROBLEM WITH COULOMB FRICTION.ACTA MECHANICA. VOL. 208. ISSUE 1-2. P. 97 -115 11 79% 4
8 SUMBATOV, AS , (2017) BRACHISTOCHRONE WITH COULOMB FRICTION AS THE SOLUTION OF AN ISOPERIMETRICAL VARIATIONAL PROBLEM.INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. VOL. 88. ISSUE . P. 135 -141 7 100% 0
9 OBRADOVIC, A , COVIC, V , VESKOVIC, M , DRAZIC, M , (2010) BRACHISTOCHRONIC MOTION OF A NONHOLONOMIC RHEONOMIC MECHANICAL SYSTEM.ACTA MECHANICA. VOL. 214. ISSUE 3-4. P. 291-304 8 100% 3
10 VONDRUKHOV, AS , GOLUBEV, YF , (2016) OPTIMAL TRAJECTORIES IN BRACHISTOCHRONE PROBLEM WITH COULOMB FRICTION.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 55. ISSUE 3. P. 341 -348 6 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 37534 METHOD OF ORIENTING CURVES//DENSE WINDING//COINCIDENCE AND NON COINCIDENCE SET
2 29888 KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM
3 18936 INTERNATIONAL APPLIED MECHANICS//SP TIMOSHENKO MECH//ASYMMETRIC FOLLOWER FORCE
4 17175 GEODESIC CONNECTEDNESS//LIGHT RAYS//LORENTZIAN MANIFOLDS
5 31781 BELT CONVEYOR//IDLER ROLL//CONVEYOR BELT
6 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT
7 20675 NEUTRAL TYPE SYSTEMS//MAXIMAL ASYMPTOTICS//NONLINEAR STOCHASTIC DELAY EQUATIONS
8 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
9 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
10 31123 BITUMINOUS OILS//RECLAMATION SCHEME//ABT IND BWL

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