Class information for:
Level 1: INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19524 501 17.8 29%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1797 2             MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS 6311
19524 1                   INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS 501

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 INVARIANCE ENTROPY authKW 554069 2% 91% 10
2 SEMI SIMPLE LIE GROUPS authKW 388132 2% 58% 11
3 INVARIANT CONTROL SETS authKW 365687 1% 100% 6
4 HOROSPHERICAL TRANSFORM authKW 331824 1% 78% 7
5 LIE SEMIGROUPS authKW 278611 2% 57% 8
6 SEMIGROUP ACTION authKW 210152 2% 34% 10
7 MONOTONIC HOMOTOPY authKW 182843 1% 100% 3
8 FLAG MANIFOLDS authKW 156704 2% 21% 12
9 INVARIANT VECTOR FIELDS authKW 139306 1% 57% 4
10 SIMPLE LIE GROUPS authKW 137125 1% 38% 6

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 15412 75% 0% 375
2 Automation & Control Systems 2824 16% 0% 79
3 Mathematics, Applied 1840 25% 0% 124
4 Operations Research & Management Science 109 4% 0% 19
5 Mathematics, Interdisciplinary Applications 62 3% 0% 15
6 Physics, Mathematical 47 3% 0% 17
7 History & Philosophy of Science 3 0% 0% 2
8 Multidisciplinary Sciences 2 1% 0% 3
9 Robotics 1 0% 0% 1
10 Computer Science, Cybernetics 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 R SALEM 91419 1% 50% 3
2 MATH ANGEW STAT 81258 1% 33% 4
3 ALESSANDRO QUANTUM ELECT QUANTUM 60948 0% 100% 1
4 AUTOMAT UER PHYS 60948 0% 100% 1
5 CINCIAS INTE AS PONTAL 60948 0% 100% 1
6 DEPARTM MATH 60948 0% 100% 1
7 ENGN MATHE EC35 60948 0% 100% 1
8 GEOMETRIE DIFFERENTIELLE PLICAT 60948 0% 100% 1
9 JSW JAIGARH PORT LTD 60948 0% 100% 1
10 MODEL BASED CONTROL SYST DESIGN 60948 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 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 62759 4% 5% 21
2 SEMIGROUP FORUM 55739 9% 2% 46
3 JOURNAL OF LIE THEORY 26155 4% 2% 18
4 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 8482 2% 2% 8
5 SYSTEMS & CONTROL LETTERS 5415 4% 0% 19
6 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 4941 1% 1% 6
7 FORUM MATHEMATICUM 3866 2% 1% 9
8 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2809 3% 0% 13
9 MONATSHEFTE FUR MATHEMATIK 2678 2% 0% 10
10 INDAGATIONES MATHEMATICAE-NEW SERIES 2477 1% 1% 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 INVARIANCE ENTROPY 554069 2% 91% 10 Search INVARIANCE+ENTROPY Search INVARIANCE+ENTROPY
2 SEMI SIMPLE LIE GROUPS 388132 2% 58% 11 Search SEMI+SIMPLE+LIE+GROUPS Search SEMI+SIMPLE+LIE+GROUPS
3 INVARIANT CONTROL SETS 365687 1% 100% 6 Search INVARIANT+CONTROL+SETS Search INVARIANT+CONTROL+SETS
4 HOROSPHERICAL TRANSFORM 331824 1% 78% 7 Search HOROSPHERICAL+TRANSFORM Search HOROSPHERICAL+TRANSFORM
5 LIE SEMIGROUPS 278611 2% 57% 8 Search LIE+SEMIGROUPS Search LIE+SEMIGROUPS
6 SEMIGROUP ACTION 210152 2% 34% 10 Search SEMIGROUP+ACTION Search SEMIGROUP+ACTION
7 MONOTONIC HOMOTOPY 182843 1% 100% 3 Search MONOTONIC+HOMOTOPY Search MONOTONIC+HOMOTOPY
8 FLAG MANIFOLDS 156704 2% 21% 12 Search FLAG+MANIFOLDS Search FLAG+MANIFOLDS
9 INVARIANT VECTOR FIELDS 139306 1% 57% 4 Search INVARIANT+VECTOR+FIELDS Search INVARIANT+VECTOR+FIELDS
10 SIMPLE LIE GROUPS 137125 1% 38% 6 Search SIMPLE+LIE+GROUPS Search SIMPLE+LIE+GROUPS

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 BARROS, CJB , ROCHA, VHL , (2016) ATTRACTION AND LYAPUNOV STABILITY FOR CONTROL SYSTEMS ON VECTOR BUNDLES.SYSTEMS & CONTROL LETTERS. VOL. 92. ISSUE . P. 28 -33 14 93% 0
2 SOUZA, JA , TOZATTI, HVM , ROCHA, VHL , (2016) ON STABILITY AND CONTROLLABILITY FOR SEMIGROUP ACTIONS.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. VOL. 48. ISSUE 1. P. 1 -29 13 100% 0
3 BARROS, CJB , SOUZA, JA , ROCHA, VHL , (2015) LYAPUNOV STABILITY ON FIBER BUNDLES.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 46. ISSUE 2. P. 181 -204 14 93% 0
4 CHATTERJEE, P , (2011) SURJECTIVITY OF POWER MAPS OF REAL ALGEBRAIC GROUPS.ADVANCES IN MATHEMATICS. VOL. 226. ISSUE 6. P. 4639 -4666 13 100% 1
5 SOUZA, JA , BARROS, CJB , ROCHA, VHL , (2016) ON ATTRACTORS AND STABILITY FOR SEMIGROUP ACTIONS AND CONTROL SYSTEMS.MATHEMATISCHE NACHRICHTEN. VOL. 289. ISSUE 10. P. 1272 -1287 11 100% 0
6 DOS SANTOS, AL , SAN MARTIN, LAB , (2013) CONTROLLABILITY OF CONTROL SYSTEMS ON COMPLEX SIMPLE LIE GROUPS AND THE TOPOLOGY OF FLAG MANIFOLDS.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. VOL. 19. ISSUE 2. P. 157-171 11 85% 2
7 SOUZA, J , TOZATTI, HVM , (2014) SOME ASPECTS OF STABILITY FOR SEMIGROUP ACTIONS AND CONTROL SYSTEMS.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. VOL. 26. ISSUE 3. P. 631 -654 10 91% 1
8 HILGERT, J , KROTZ, B , (2001) THE PLANCHEREL THEOREM FOR INVARIANT HILBERT SPACES.MATHEMATISCHE ZEITSCHRIFT. VOL. 237. ISSUE 1. P. 61-83 15 83% 0
9 ALVES, RWM , ROCHA, VHL , SOUZA, JA , (2015) A CHARACTERIZATION OF COMPLETELY REGULAR SPACES.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 26. ISSUE 3. P. - 8 100% 0
10 RIBEIRO, R , AYALA, V , SAN MARTIN, LAB , (2014) CONTROLLABILITY ON SL(2, C) WITH RESTRICTED CONTROLS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 52. ISSUE 4. P. 2548 -2567 9 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
2 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
3 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP
4 37534 METHOD OF ORIENTING CURVES//DENSE WINDING//COINCIDENCE AND NON COINCIDENCE SET
5 27714 CHRONOMETRIC THEORY//EUCLIDEAN ALGEBRA//INTERDISCIPLINARY NAT HUMANIST SCI
6 32058 SYST VNIISI//LOCALLY BOUNDED MAP//PURE PSEUDOREPRESENTATION
7 20405 QUANTUM SPEED LIMIT//CONJUGATE AND CUT LOCI//GEOMETRIC OPTIMAL CONTROL
8 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
9 21486 INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP
10 22764 LAGUERRE PLANE//CHAIN SPACES//ABT TOPOL

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