Class information for:
Level 1: NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
11264 995 22.7 38%



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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
2480 2             LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES 3950
11264 1                   NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT 995

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 NONHOLONOMIC MECHANICS authKW 973919 4% 72% 44
2 REGULAR & CHAOTIC DYNAMICS journal 509884 11% 16% 106
3 SPHERICAL ROBOT authKW 454616 2% 74% 20
4 NONHOLONOMIC CONSTRAINTS authKW 406265 6% 22% 61
5 NONHOLONOMIC SYSTEMS authKW 385381 7% 18% 69
6 CHAPLYGIN BALL authKW 337560 1% 100% 11
7 TIPPE TOP authKW 309428 1% 92% 11
8 SPHERICAL MOBILE ROBOT authKW 276185 1% 100% 9
9 HAMILTONIZATION authKW 236051 1% 77% 10
10 NONHOLONOMIC DYNAMICS authKW 236051 1% 77% 10

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 Physics, Mathematical 21052 41% 0% 404
2 Mechanics 8487 32% 0% 321
3 Mathematics, Applied 8078 36% 0% 359
4 Robotics 3035 5% 0% 51
5 Physics, Multidisciplinary 836 15% 0% 146
6 Education, Scientific Disciplines 719 4% 0% 43
7 Automation & Control Systems 697 6% 0% 58
8 Mathematics 349 10% 0% 95
9 Engineering, Mechanical 105 4% 0% 42
10 Engineering, Aerospace 83 2% 0% 16

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 MECH CONTROL 218219 1% 89% 8
2 NONLINEAR ANAL DESIGN NEW TYPES VEHICLES 157819 1% 86% 6
3 MATEMAT FUNDAMENTAL 109990 2% 17% 21
4 ULL CSIC GEOMETRIA DIFERENCIAL MECAN GEOMETR 95894 1% 63% 5
5 MATH PHYS ASTRON 62501 2% 11% 18
6 CSIC GEOMETRIA DIFERENCIAL MECAN GEOMETR 61375 0% 100% 2
7 ESCOLA UNIV POLITECTN VILANOVA GELTRU 61375 0% 100% 2
8 MECHATRON INTELLIGENT MACHINES 61375 0% 100% 2
9 MATEMAT 1 59008 1% 38% 5
10 MATEMAT FIS FUNDAMENTAL 57457 3% 6% 33

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 REGULAR & CHAOTIC DYNAMICS 509884 11% 16% 106
2 JOURNAL OF GEOMETRIC MECHANICS 211457 3% 21% 33
3 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 60234 6% 3% 63
4 REPORTS ON MATHEMATICAL PHYSICS 47044 4% 4% 40
5 MECHANICS OF SOLIDS 13923 2% 3% 16
6 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 13560 2% 2% 24
7 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 11844 2% 2% 20
8 JOURNAL OF NONLINEAR SCIENCE 9520 1% 2% 14
9 JOURNAL OF GEOMETRY AND PHYSICS 6321 2% 1% 23
10 REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 4117 1% 2% 7

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 NONHOLONOMIC MECHANICS 973919 4% 72% 44 Search NONHOLONOMIC+MECHANICS Search NONHOLONOMIC+MECHANICS
2 SPHERICAL ROBOT 454616 2% 74% 20 Search SPHERICAL+ROBOT Search SPHERICAL+ROBOT
3 NONHOLONOMIC CONSTRAINTS 406265 6% 22% 61 Search NONHOLONOMIC+CONSTRAINTS Search NONHOLONOMIC+CONSTRAINTS
4 NONHOLONOMIC SYSTEMS 385381 7% 18% 69 Search NONHOLONOMIC+SYSTEMS Search NONHOLONOMIC+SYSTEMS
5 CHAPLYGIN BALL 337560 1% 100% 11 Search CHAPLYGIN+BALL Search CHAPLYGIN+BALL
6 TIPPE TOP 309428 1% 92% 11 Search TIPPE+TOP Search TIPPE+TOP
7 SPHERICAL MOBILE ROBOT 276185 1% 100% 9 Search SPHERICAL+MOBILE+ROBOT Search SPHERICAL+MOBILE+ROBOT
8 HAMILTONIZATION 236051 1% 77% 10 Search HAMILTONIZATION Search HAMILTONIZATION
9 NONHOLONOMIC DYNAMICS 236051 1% 77% 10 Search NONHOLONOMIC+DYNAMICS Search NONHOLONOMIC+DYNAMICS
10 SUSLOV PROBLEM 187958 1% 88% 7 Search SUSLOV+PROBLEM Search SUSLOV+PROBLEM

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 DE LEON, M , (2012) A HISTORICAL REVIEW ON NONHOLOMIC MECHANICS.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 106. ISSUE 1. P. 191 -224 65 79% 7
2 KARAVAEV, YL , KILIN, AA , (2015) THE DYNAMICS AND CONTROL OF A SPHERICAL ROBOT WITH AN INTERNAL OMNIWHEEL PLATFORM.REGULAR & CHAOTIC DYNAMICS. VOL. 20. ISSUE 2. P. 134 -152 38 95% 8
3 BORISOV, AV , MAMAEV, IS , BIZYAEV, IA , (2015) THE JACOBI INTEGRAL IN NONHOLONOMIC MECHANICS.REGULAR & CHAOTIC DYNAMICS. VOL. 20. ISSUE 3. P. 383 -400 33 100% 6
4 BORISOV, AV , MAMAEV, IS , TSIGANOV, AV , (2014) NON-HOLONOMIC DYNAMICS AND POISSON GEOMETRY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 69. ISSUE 3. P. 481 -538 41 84% 6
5 BORISOV, AV , MAMAEV, IS , (2008) CONSERVATION LAWS, HIERARCHY OF DYNAMICS AND EXPLICIT INTEGRATION OF NONHOLONOMIC SYSTEMS.REGULAR & CHAOTIC DYNAMICS. VOL. 13. ISSUE 5. P. 443 -490 39 91% 39
6 KOZLOV, V , (2016) THE PHENOMENON OF REVERSAL IN THE EULER-POINCAR,-SUSLOV NONHOLONOMIC SYSTEMS.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. VOL. 22. ISSUE 4. P. 713 -724 24 96% 1
7 KOZLOV, VV , (2015) THE DYNAMICS OF SYSTEMS WITH SERVOCONSTRAINTS. II.REGULAR & CHAOTIC DYNAMICS. VOL. 20. ISSUE 4. P. 401 -427 28 88% 2
8 BORISOV, AV , KARAVAEV, YL , MAMAEV, IS , ERDAKOVA, NN , IVANOVA, TB , TARASOV, VV , (2015) EXPERIMENTAL INVESTIGATION OF THE MOTION OF A BODY WITH AN AXISYMMETRIC BASE SLIDING ON A ROUGH PLANE.REGULAR & CHAOTIC DYNAMICS. VOL. 20. ISSUE 5. P. 518 -541 26 90% 4
9 BORISOV, AV , MAMAEV, IS , BIZYAEV, IA , (2013) THE HIERARCHY OF DYNAMICS OF A RIGID BODY ROLLING WITHOUT SLIPPING AND SPINNING ON A PLANE AND A SPHERE.REGULAR & CHAOTIC DYNAMICS. VOL. 18. ISSUE 3. P. 277 -328 29 78% 21
10 BALSEIRO, P , FERNANDEZ, OE , (2015) REDUCTION OF NONHOLONOMIC SYSTEMS IN TWO STAGES AND HAMILTONIZATION.NONLINEARITY. VOL. 28. ISSUE 8. P. 2873 -2912 25 96% 0

Classes with closest relation at Level 1



Rank Class id link
1 9465 VARIATIONAL SEQUENCE//HELMHOLTZ CONDITIONS//POINCARE CARTAN FORM
2 34936 HYPERANGULAR MOMENTA//KINETIC ENERGY PARTITIONS//RECONSTRUCTION PHASES
3 8861 LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES
4 26953 LIE QUADRATIC//RIEMANNIAN CUBIC//COMP SCI GRP COMP SCI
5 26343 CONTOURED CAVITIES//TWO BODIES//BODY VORTEX INTERACTION
6 30173 TABLE TENNIS ROBOT//SPINNING BALL//SNOOKER
7 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
8 12049 UNDERACTUATED MECHANICAL SYSTEMS//INVERTED PENDULUM//UNDERACTUATED SYSTEMS
9 9876 KOWALEVSKI TOP//INTEGRABLE HAMILTONIAN SYSTEMS//ISOSPECTRAL FLOW
10 10651 CONSERVED QUANTITY//MEI SYMMETRY//MATH MECH MATH PHYS

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