Class information for:
Level 2: BIFURCATION CONTROL//NORMAL FORM//UNIT IND AUTOMAT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2787 3108 18.3 32%


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
13254 1                   NEAR CONTROLLABILITY//DISCRETE TIME BILINEAR SYSTEMS//TRANSFER EQUIVALENCE 851
19703 1                   NORMAL FORM//UNIQUE NORMAL FORM//FURTHER REDUCTION 493
19987 1                   UNIT IND AUTOMAT//DIFFERENTIAL FLATNESS//FLATNESS 481
22851 1                   BIFURCATION CONTROL//CONTROL BIFURCATIONS//FEEDBACK CLASSIFICATION 367
26009 1                   REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES 265
27880 1                   BRACHISTOCHRONE//BRACHISTOCHRONIC MOTION//DISCHARGE CHUTES 219
27915 1                   SINGLE INPUT FUZZY CONTROLLER DESIGN//TSYPKINS METHOD//GROBNER BASE 218
31042 1                   COUPLING RESISTOR//IN AND ANTI PHASE SYNCHRONIZATION//PULSED DIGITAL OSCILLATORS 159
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 BIFURCATION CONTROL authKW 151073 1% 38% 40
2 NORMAL FORM authKW 130923 4% 12% 116
3 UNIT IND AUTOMAT address 130600 1% 53% 25
4 DIFFERENTIAL FLATNESS authKW 116780 1% 34% 35
5 BRACHISTOCHRONE authKW 113542 1% 68% 17
6 NEAR CONTROLLABILITY authKW 108052 0% 100% 11
7 AUTOMATION & CONTROL SYSTEMS WoSSC 102501 38% 1% 1167
8 SYSTEMS & CONTROL LETTERS journal 87521 6% 5% 190
9 NONLINEAR CONTROL SYSTEMS authKW 60405 2% 10% 61
10 UNIQUE NORMAL FORM authKW 60164 0% 88% 7

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 102501 38% 1% 1167
2 Mathematics, Applied 12440 26% 0% 801
3 Operations Research & Management Science 5737 10% 0% 314
4 Mathematics 5142 19% 0% 581
5 Engineering, Electrical & Electronic 2762 19% 0% 603
6 Mathematics, Interdisciplinary Applications 1593 6% 0% 173
7 Mechanics 1030 7% 0% 226
8 Computer Science, Cybernetics 828 2% 0% 50
9 Physics, Mathematical 677 5% 0% 149
10 Computer Science, Information Systems 617 4% 0% 132

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 UNIT IND AUTOMAT 130600 1% 53% 25
2 REGELUNGS STEUERUNGSTHEORIE 56754 1% 34% 17
3 CHAIR MECHATRON 39276 0% 33% 12
4 DIFFERENTIAL EQUAT CONTROL 27195 0% 46% 6
5 REGELUNGSTECH PROZESSAUTOMATISIERUNG 22449 0% 57% 4
6 AUTOMAT NANTES 22100 0% 75% 3
7 CYBERNET 21586 2% 4% 63
8 IMAGE SIGNAL AUTOMAT 19646 0% 100% 2
9 URA CNRS 823 19646 0% 100% 2
10 AUTOMAT SYST 15716 1% 7% 24

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 SYSTEMS & CONTROL LETTERS 87521 6% 5% 190
2 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES 44862 4% 4% 110
3 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 42671 4% 3% 126
4 INTERNATIONAL JOURNAL OF CONTROL 31357 5% 2% 144
5 IEEE TRANSACTIONS ON AUTOMATIC CONTROL 26084 6% 2% 171
6 AT-AUTOMATISIERUNGSTECHNIK 14877 1% 5% 30
7 MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 13328 1% 5% 25
8 MATHEMATICAL SYSTEMS THEORY 8812 1% 5% 17
9 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 8249 1% 4% 19
10 DIFFERENTIAL EQUATIONS 7307 2% 1% 53

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 BIFURCATION CONTROL 151073 1% 38% 40 Search BIFURCATION+CONTROL Search BIFURCATION+CONTROL
2 NORMAL FORM 130923 4% 12% 116 Search NORMAL+FORM Search NORMAL+FORM
3 DIFFERENTIAL FLATNESS 116780 1% 34% 35 Search DIFFERENTIAL+FLATNESS Search DIFFERENTIAL+FLATNESS
4 BRACHISTOCHRONE 113542 1% 68% 17 Search BRACHISTOCHRONE Search BRACHISTOCHRONE
5 NEAR CONTROLLABILITY 108052 0% 100% 11 Search NEAR+CONTROLLABILITY Search NEAR+CONTROLLABILITY
6 NONLINEAR CONTROL SYSTEMS 60405 2% 10% 61 Search NONLINEAR+CONTROL+SYSTEMS Search NONLINEAR+CONTROL+SYSTEMS
7 UNIQUE NORMAL FORM 60164 0% 88% 7 Search UNIQUE+NORMAL+FORM Search UNIQUE+NORMAL+FORM
8 FLATNESS 59168 1% 14% 44 Search FLATNESS Search FLATNESS
9 DISCRETE TIME BILINEAR SYSTEMS 56826 0% 64% 9 Search DISCRETE+TIME+BILINEAR+SYSTEMS Search DISCRETE+TIME+BILINEAR+SYSTEMS
10 CONTROL BIFURCATIONS 49115 0% 100% 5 Search CONTROL+BIFURCATIONS Search CONTROL+BIFURCATIONS

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 GAZOR, M , YU, P , (2010) FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 20. ISSUE 11. P. 3487 -3515 27 100% 1
2 GAZOR, M , SADRI, N , (2016) BIFURCATION CONTROL AND UNIVERSAL UNFOLDING FOR HOPF-ZERO SINGULARITIES WITH LEADING SOLENOIDAL TERMS.SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. VOL. 15. ISSUE 2. P. 870 -903 26 90% 0
3 GAZOR, M , MOAZENI, M , (2015) PARAMETRIC NORMAL FORMS FOR BOGDANOV-TAKENS SINGULARITY; THE GENERALIZED SADDLE-NODE CASE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 1. P. 205 -224 23 88% 0
4 YU, P , LEUNG, AYT , (2007) NORMAL FORMS OF VECTOR FIELDS WITH PERTURBATION PARAMETERS AND THEIR APPLICATION.CHAOS SOLITONS & FRACTALS. VOL. 34. ISSUE 2. P. 564-579 23 100% 4
5 GAZOR, M , MOKHTARI, F , SANDERS, JA , (2013) NORMAL FORMS FOR HOPF-ZERO SINGULARITIES WITH NONCONSERVATIVE NONLINEAR PART.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 254. ISSUE 3. P. 1571-1581 19 95% 3
6 GAZOR, H , (2013) NORMAL FORM OF BOGDANOV-TAKENS: STYLES AND A HYPERNORMALIZATION METHOD.NONLINEAR DYNAMICS. VOL. 72. ISSUE 3. P. 499-505 20 87% 1
7 YU, P , LEUNG, AYT , (2007) THE SIMPLEST NORMAL FORM AND ITS APPLICATION TO BIFURCATION CONTROL.CHAOS SOLITONS & FRACTALS. VOL. 33. ISSUE 3. P. 845-863 21 95% 5
8 ARANDABRICAIRE, E , KOTTA, U , MOOG, CH , (1996) LINEARIZATION OF DISCRETE-TIME SYSTEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 34. ISSUE 6. P. 1999 -2023 25 100% 86
9 YU, P , GAZOR, M , (2008) INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. VOL. 18. ISSUE 11. P. 3393 -3408 22 88% 3
10 RUPNIEWSKI, MW , RESPONDEK, W , (2010) A CLASSIFICATION OF GENERIC FAMILIES OF CONTROL-AFFINE SYSTEMS AND THEIR BIFURCATIONS.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. VOL. 21. ISSUE 4. P. 303-336 19 95% 1

Classes with closest relation at Level 2


Rank Class id link
1 538 AUTOMATION & CONTROL SYSTEMS//NONLINEAR SYSTEMS//ITERATIVE LEARNING CONTROL
2 3429 QUADRATIC DIFFERENTIAL FORMS//BEHAVIORAL APPROACH//MULTIDIMENSIONAL SYSTEMS
3 1519 STOCHASTIC AVERAGING//BORDER COLLISION BIFURCATION//NONLINEAR ENERGY SINK
4 2480 LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES
5 1529 LIMIT CYCLE//ABELIAN INTEGRALS//ISOCHRONOUS CENTER
6 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
7 1035 MODEL PREDICTIVE CONTROL//AUTOMATION & CONTROL SYSTEMS//JOURNAL OF PROCESS CONTROL
8 1806 GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//TIME VARYING DELAY
9 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
10 28 AUTOMATION & CONTROL SYSTEMS//IEEE TRANSACTIONS ON AUTOMATIC CONTROL//INTERNATIONAL JOURNAL OF CONTROL

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