Class information for:
Level 1: FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3215 2037 30.2 59%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
935 2             FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE 10998
3215 1                   FRACTIONAL ORDER SYSTEM//FRACTIONAL ORDER//FRACTIONAL ORDER CHAOTIC SYSTEM 2037

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 FRACTIONAL ORDER SYSTEM authKW 2966157 12% 78% 254
2 FRACTIONAL ORDER authKW 963554 7% 44% 145
3 FRACTIONAL ORDER CHAOTIC SYSTEM authKW 951338 4% 84% 76
4 FRACTIONAL ORDER CONTROLLER authKW 892118 4% 80% 74
5 FRACTIONAL CALCULUS authKW 583318 11% 17% 225
6 FRACTIONAL ORDER CONTROL authKW 446972 2% 69% 43
7 FRACTIONAL SYSTEMS authKW 437098 2% 61% 48
8 FRACTIONAL ORDER DIFFERENTIATOR authKW 297696 1% 83% 24
9 FRACTIONAL ORDER CIRCUITS authKW 293658 1% 85% 23
10 FRACTANCE authKW 285495 1% 95% 20

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 21461 21% 0% 436
2 Mathematics, Interdisciplinary Applications 9968 16% 0% 329
3 Mechanics 5881 19% 0% 392
4 Mathematics, Applied 4360 19% 0% 392
5 Engineering, Mechanical 3804 15% 0% 297
6 Engineering, Electrical & Electronic 3598 26% 0% 532
7 Physics, Mathematical 2959 11% 0% 228
8 Engineering, General 2697 9% 0% 187
9 Physics, Multidisciplinary 2175 16% 0% 332
10 Instruments & Instrumentation 941 8% 0% 153

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 CSOIS 254978 2% 49% 35
2 ADV CONTROL SYST 196112 2% 26% 50
3 SYST THEORY ITS PLICAT 183607 1% 88% 14
4 NETWORK CONTROL INTELLIGENT RUMENT 111001 1% 37% 20
5 NANOELECT INTEGRATED SYST 79934 0% 67% 8
6 BERG 68884 1% 18% 26
7 L2CSP 61198 0% 58% 7
8 IMS L S 59946 0% 50% 8
9 CONTROL INFORMATIZAT PROD PROC 58890 1% 30% 13
10 AUTOMAT RUMENTS 57803 0% 43% 9

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 NONLINEAR DYNAMICS 97939 9% 4% 180
2 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 33387 4% 2% 91
3 JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS 33262 2% 5% 42
4 ISA TRANSACTIONS 30446 3% 3% 62
5 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 22355 1% 6% 23
6 IEEE JOURNAL ON EMERGING AND SELECTED TOPICS IN CIRCUITS AND SYSTEMS 10412 1% 5% 15
7 SIGNAL PROCESSING 10027 3% 1% 66
8 IET CONTROL THEORY AND APPLICATIONS 9776 2% 2% 39
9 JOURNAL OF VIBRATION AND CONTROL 9464 2% 2% 38
10 ASIAN JOURNAL OF CONTROL 8468 1% 2% 30

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 FRACTIONAL ORDER SYSTEM 2966157 12% 78% 254 Search FRACTIONAL+ORDER+SYSTEM Search FRACTIONAL+ORDER+SYSTEM
2 FRACTIONAL ORDER 963554 7% 44% 145 Search FRACTIONAL+ORDER Search FRACTIONAL+ORDER
3 FRACTIONAL ORDER CHAOTIC SYSTEM 951338 4% 84% 76 Search FRACTIONAL+ORDER+CHAOTIC+SYSTEM Search FRACTIONAL+ORDER+CHAOTIC+SYSTEM
4 FRACTIONAL ORDER CONTROLLER 892118 4% 80% 74 Search FRACTIONAL+ORDER+CONTROLLER Search FRACTIONAL+ORDER+CONTROLLER
5 FRACTIONAL CALCULUS 583318 11% 17% 225 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
6 FRACTIONAL ORDER CONTROL 446972 2% 69% 43 Search FRACTIONAL+ORDER+CONTROL Search FRACTIONAL+ORDER+CONTROL
7 FRACTIONAL SYSTEMS 437098 2% 61% 48 Search FRACTIONAL+SYSTEMS Search FRACTIONAL+SYSTEMS
8 FRACTIONAL ORDER DIFFERENTIATOR 297696 1% 83% 24 Search FRACTIONAL+ORDER+DIFFERENTIATOR Search FRACTIONAL+ORDER+DIFFERENTIATOR
9 FRACTIONAL ORDER CIRCUITS 293658 1% 85% 23 Search FRACTIONAL+ORDER+CIRCUITS Search FRACTIONAL+ORDER+CIRCUITS
10 FRACTANCE 285495 1% 95% 20 Search FRACTANCE Search FRACTANCE

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 SHAH, P , AGASHE, S , (2016) REVIEW OF FRACTIONAL PID CONTROLLER.MECHATRONICS. VOL. 38. ISSUE . P. 29 -41 51 88% 0
2 TSIRIMOKOU, G , PSYCHALINOS, C , (2016) ULTRA-LOW VOLTAGE FRACTIONAL-ORDER CIRCUITS USING CURRENT MIRRORS.INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS. VOL. 44. ISSUE 1. P. 109 -126 32 94% 6
3 TAVAZOEI, MS , (2016) MAGNITUDE-FREQUENCY RESPONSES OF FRACTIONAL ORDER SYSTEMS: PROPERTIES AND SUBSEQUENT RESULTS.IET CONTROL THEORY AND APPLICATIONS. VOL. 10. ISSUE 18. P. 2474 -2481 47 87% 0
4 YUAN, J , SHI, B , JI, WQ , (2013) ADAPTIVE SLIDING MODE CONTROL OF A NOVEL CLASS OF FRACTIONAL CHAOTIC SYSTEMS.ADVANCES IN MATHEMATICAL PHYSICS. VOL. . ISSUE . P. - 43 96% 10
5 BUTKOVSKII, AG , POSTNOV, SS , POSTNOVA, EA , (2013) FRACTIONAL INTEGRO-DIFFERENTIAL CALCULUS AND ITS CONTROL-THEORETICAL APPLICATIONS. II. FRACTIONAL DYNAMIC SYSTEMS: MODELING AND HARDWARE IMPLEMENTATION.AUTOMATION AND REMOTE CONTROL. VOL. 74. ISSUE 5. P. 725-749 69 61% 6
6 LI, CP , ZHANG, FR , (2011) A SURVEY ON THE STABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS.EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS. VOL. 193. ISSUE 1. P. 27 -47 39 85% 103
7 ELWAKIL, AS , (2010) FRACTIONAL-ORDER CIRCUITS AND SYSTEMS: AN EMERGING INTERDISCIPLINARY RESEARCH AREA.IEEE CIRCUITS AND SYSTEMS MAGAZINE. VOL. 10. ISSUE 4. P. 40 -50 42 82% 67
8 ADHIKARY, A , SEN, S , BISWAS, K , (2016) PRACTICAL REALIZATION OF TUNABLE FRACTIONAL ORDER PARALLEL RESONATOR AND FRACTIONAL ORDER FILTERS.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS. VOL. 63. ISSUE 8. P. 1142 -1151 36 100% 0
9 YUAN, J , SHI, B , ZENG, XY , JI, WQ , PAN, TT , (2013) SLIDING MODE CONTROL OF THE FRACTIONAL-ORDER UNIFIED CHAOTIC SYSTEM.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 40 93% 1
10 AGHABABA, MP , (2012) FINITE-TIME CHAOS CONTROL AND SYNCHRONIZATION OF FRACTIONAL-ORDER NONAUTONOMOUS CHAOTIC (HYPERCHAOTIC) SYSTEMS USING FRACTIONAL NONSINGULAR TERMINAL SLIDING MODE TECHNIQUE.NONLINEAR DYNAMICS. VOL. 69. ISSUE 1-2. P. 247-261 39 78% 49

Classes with closest relation at Level 1


Rank Class id link
1 11378 FRACTIONAL DERIVATIVE//FRACTIONAL DERIVATIVE DAMPING//FRACTIONAL CALCULUS
2 685 CHAOTIC SYSTEM//CHAOS SYNCHRONIZATION//HYPERCHAOTIC SYSTEM
3 28762 EIGEN COORDINATES METHOD//UISPA LAETA INEGI//PSEUDO PHASE PLANE
4 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
5 11156 FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS
6 4048 FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS
7 21461 POSITIVE REALIZATION//POSITIVE SYSTEMS//POSITIVE LINEAR SYSTEMS
8 3776 HIDDEN ATTRACTOR//HYPERCHAOS//CIRCUIT IMPLEMENTATION
9 30536 DESIGN TECHNOL ELECT SYST//PL MATH INFORMAT CONTROL//PERMANENT MAGNET SYNCHRONOUS MOTOR
10 37333 MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS//ALGEBRAIC STRUCTURES WITH RESPECT TO NON NEWTONIAN CALCULUS

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