Class information for:
Level 1: MANDELBROT SET//GENERALIZED M J SETS//GRADIENT CONTROL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20772 446 17.0 41%


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
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
2775 2             JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS 3137
20772 1                   MANDELBROT SET//GENERALIZED M J SETS//GRADIENT CONTROL 446

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 MANDELBROT SET authKW 1631011 10% 53% 45
2 GENERALIZED M J SETS authKW 410784 1% 100% 6
3 GRADIENT CONTROL authKW 372745 2% 78% 7
4 JULIA SET authKW 364061 10% 12% 44
5 GENERALIZED M SET authKW 342320 1% 100% 5
6 EXTERNAL ARGUMENTS authKW 335469 2% 70% 7
7 INVARIANT MAPPING authKW 285265 1% 83% 5
8 ONE DIMENSIONAL QUADRATIC MAPS authKW 273856 1% 100% 4
9 ORBIT TRAP authKW 273856 1% 100% 4
10 WALLPAPER GROUPS authKW 246466 1% 60% 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 Computer Science, Software Engineering 8061 31% 0% 139
2 Mathematics, Interdisciplinary Applications 6213 27% 0% 120
3 Physics, Mathematical 2348 21% 0% 92
4 Mathematics, Applied 1564 24% 0% 108
5 Physics, Multidisciplinary 1388 26% 0% 118
6 Mechanics 143 7% 0% 32
7 Mathematics 103 8% 0% 36
8 Engineering, Mechanical 48 4% 0% 19
9 Art 39 1% 0% 4
10 Education, Scientific Disciplines 24 1% 0% 6

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 GALGOTIA ENG TECHNOL 136928 0% 100% 2
2 AMITY ENGG TECH 68464 0% 100% 1
3 BLDG MAT SCI TECHNOL 68464 0% 100% 1
4 ETSI AGRONOMOS ESTAT 68464 0% 100% 1
5 FIC LICADA 68464 0% 100% 1
6 GALGOTIA ENGN TECH 68464 0% 100% 1
7 GSC C UNIV 68464 0% 100% 1
8 IMAGES NETWORKS 68464 0% 100% 1
9 PL OCEAN TECHNOL 68464 0% 100% 1
10 SPMS P 04 20 68464 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 COMPUTERS & GRAPHICS-UK 178215 17% 4% 74
2 COMPUTERS & GRAPHICS 93436 5% 7% 21
3 FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 77221 8% 3% 36
4 CHAOS SOLITONS & FRACTALS 19256 11% 1% 47
5 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART B 14036 1% 5% 4
6 FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE 6222 0% 9% 1
7 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 5998 5% 0% 22
8 NONLINEAR DYNAMICS 3971 4% 0% 17
9 COMPUTER GRAPHICS WORLD 1810 0% 1% 2
10 APPLIED MATHEMATICS AND COMPUTATION 1697 5% 0% 21

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 MANDELBROT SET 1631011 10% 53% 45 Search MANDELBROT+SET Search MANDELBROT+SET
2 GENERALIZED M J SETS 410784 1% 100% 6 Search GENERALIZED+M+J+SETS Search GENERALIZED+M+J+SETS
3 GRADIENT CONTROL 372745 2% 78% 7 Search GRADIENT+CONTROL Search GRADIENT+CONTROL
4 JULIA SET 364061 10% 12% 44 Search JULIA+SET Search JULIA+SET
5 GENERALIZED M SET 342320 1% 100% 5 Search GENERALIZED+M+SET Search GENERALIZED+M+SET
6 EXTERNAL ARGUMENTS 335469 2% 70% 7 Search EXTERNAL+ARGUMENTS Search EXTERNAL+ARGUMENTS
7 INVARIANT MAPPING 285265 1% 83% 5 Search INVARIANT+MAPPING Search INVARIANT+MAPPING
8 ONE DIMENSIONAL QUADRATIC MAPS 273856 1% 100% 4 Search ONE+DIMENSIONAL+QUADRATIC+MAPS Search ONE+DIMENSIONAL+QUADRATIC+MAPS
9 ORBIT TRAP 273856 1% 100% 4 Search ORBIT+TRAP Search ORBIT+TRAP
10 WALLPAPER GROUPS 246466 1% 60% 6 Search WALLPAPER+GROUPS Search WALLPAPER+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 ASHISH , RANI, M , CHUGH, R , (2014) JULIA SETS AND MANDELBROT SETS IN NOOR ORBIT.APPLIED MATHEMATICS AND COMPUTATION. VOL. 228. ISSUE . P. 615 -631 31 89% 2
2 PASTOR, G , ROMERA, M , ORUE, AB , MARTIN, A , DANCA, MF , MONTOYA, F , (2011) CALCULATION OF THE STRUCTURE OF A SHRUB IN THE MANDELBROT SET.DISCRETE DYNAMICS IN NATURE AND SOCIETY. VOL. . ISSUE . P. - 28 97% 0
3 AGARWAL, R , AGARWAL, V , (2012) DYNAMIC NOISE PERTURBED GENERALIZED SUPERIOR MANDELBROT SETS.NONLINEAR DYNAMICS. VOL. 67. ISSUE 3. P. 1883 -1891 27 96% 1
4 SUN, YY , LI, P , LU, ZX , (2015) GENERALIZED QUATERNION M SETS AND JULIA SETS PERTURBED BY DYNAMICAL NOISES.NONLINEAR DYNAMICS. VOL. 82. ISSUE 1-2. P. 143 -156 22 88% 0
5 PARICIO, LJH , (2016) BIVARIATE NEWTON-RAPHSON METHOD AND TOROIDAL ATTRACTION BASINS.NUMERICAL ALGORITHMS. VOL. 71. ISSUE 2. P. 349 -381 22 85% 0
6 WANG, D , LIU, ST , LIU, KX , ZHAO, Y , (2016) CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION. VOL. 6. ISSUE 4. P. 1049 -1063 25 69% 0
7 LU, J , ZOU, YR , YANG, CY , WANG, LJ , (2014) ORBIT TRAP RENDERING METHODS FOR GENERATING COLORFUL SYMMETRIC IMAGES IN THREE-DIMENSIONAL SPACE.NONLINEAR DYNAMICS. VOL. 77. ISSUE 4. P. 1643 -1651 18 95% 0
8 SUN, YY , HOU, KN , ZHAO, XD , LU, ZX , (2016) RESEARCH ON CHARACTERISTICS OF NOISE-PERTURBED M-J SETS BASED ON EQUIPOTENTIAL POINT ALGORITHM.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 30. ISSUE 1-3. P. 284 -298 17 94% 0
9 WANG, P , LIU, ST , (2016) OPTIMAL CONTROL AND SYNCHRONIZATION OF ALTERNATED JULIA SETS.ASIAN JOURNAL OF CONTROL. VOL. 18. ISSUE 5. P. 1698 -1705 18 78% 0
10 WANG, XY , SONG, WJ , (2013) THE GENERALIZED M-J SETS FOR BICOMPLEX NUMBERS.NONLINEAR DYNAMICS. VOL. 72. ISSUE 1-2. P. 17-26 18 78% 10

Classes with closest relation at Level 1


Rank Class id link
1 8657 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS
2 37557 CRITICAL EXPONENT METHOD//PHONEME ATTRACTOR//RECONSTRUCTED PHASE SPACES RPSS
3 25932 MULTISCALE SIMULAT//GRP ETUD SYST NON LINEAI PLICAT//BVP OSCILLATOR
4 30184 BIPARTITE SELF COMPLEMENTARY GRAPH//MATRIX SYMMETRIZATION//NEXUS NETWORK JOURNAL
5 15331 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING
6 13791 WADA BASIN BOUNDARY//INTERTWINED BASINS//WADA BASINS
7 30536 DESIGN TECHNOL ELECT SYST//PL MATH INFORMAT CONTROL//PERMANENT MAGNET SYNCHRONOUS MOTOR
8 37333 MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS//ALGEBRAIC STRUCTURES WITH RESPECT TO NON NEWTONIAN CALCULUS
9 5803 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
10 8275 CIRCLE HOMEOMORPHISM//ROTATION NUMBER//CRITICAL CIRCLE MAPS

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