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Nonlinear Dynamics, ISSN 0924-090X, 12/2010, Volume 62, Issue 4, pp. 955 - 966
In this paper, we analyze the theory of the Julia set (J set) of Newton's method, construct the Julia sets of Newton's method of function F(z)=zezwF(z)=zezw... 
Attracting region | Newton's method | Complex-exponential function | Julia set | Fixed point | Nonlinear dynamics | Construction | Iterative algorithms | Newton methods
Journal Article
by Wang, XY and Li, YK and Sun, YY and Song, JM and Ge, FD
NONLINEAR DYNAMICS, ISSN 0924-090X, 12/2010, Volume 62, Issue 4, pp. 955 - 966
In this paper, we analyze the theory of the Julia set (J set) of Newton's method, construct the Julia sets of Newton's method of function F(z) = z(ezw) (w is... 
TRANSFORMATION | Attracting region | ITERATION | MECHANICS | AREA | ROOT | Newton's method | Complex-exponential function | Julia set | ENGINEERING, MECHANICAL | Fixed point
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 12/2010, Volume 62, Issue 4, p. 955
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 12/2010, Volume 62, Issue 4, pp. 955 - 966
In this paper, we analyze the theory of the Julia set (J set) of Newton’s method, construct the Julia sets of Newton’s method of function $F(z)=ze^{z^{w}}$... 
Engineering | Vibration, Dynamical Systems, Control | Attracting region | Mechanics | Automotive Engineering | Newton’s method | Complex-exponential function | Mechanical Engineering | Julia set | Fixed point | Exponential functions | Iterative algorithms | Self-similarity
Journal Article
Acta Mathematica Scientia, ISSN 0252-9602, 11/2018, Volume 38, Issue 6, pp. 1678 - 1688
The growth of entire functions under the -difference operators is studied in this paper, and then some properties of Julia set of entire functions under the... 
30D20 | 30B10 | limit direction | 34M05 | 30D35 | Julia set | q-difference operator | 30D15 | order | JULIA SETS | MATHEMATICS | MEROMORPHIC SOLUTIONS
Journal Article
Kodai Mathematical Journal, ISSN 0386-5991, 2018, Volume 41, Issue 3, pp. 531 - 553
Let f be an entire function with the form f(z) = P(ez)/ez, where P is a polynomial with deg(P) ≥ 2 and P(0) ≠ 0. We prove that the area of the complement of... 
Lebesgue area | Fast escaping sets | Julia set | Fatou set | HAUSDORFF DIMENSION | JULIA SETS | MATHEMATICS | MAPS | HAIRS | POINTS
Journal Article
Journal of Shanghai University of Engineering Science, ISSN 1009-444X, 06/2011, Volume 25, Issue 2, pp. 171 - 174
The fractal graphics generation method of Julia set was studied. By using visualization technology, fractal graphics generation methods of second-order and... 
Visualization | Law | Splicing | Fractal analysis | Displays | Software | Fractals | Computer programs
Journal Article
Journal of Shanghai University of Engineering Science, ISSN 1009-444X, 06/2011, Volume 25, Issue 2, pp. 171 - 174
The fractal graphics generation method of Julia set was studied. By using visualization technology, fractal graphics generation methods of second-order and... 
Visualization | Law | Splicing | Fractal analysis | Displays | Software | Fractals | Computer programs
Journal Article
Organic and Biomolecular Chemistry, ISSN 1477-0520, 01/2014, Volume 12, Issue 3, pp. 467 - 473
A series of tetrasubstituted fluoroatkene derivatives were synthesized by the reaction of alpha-fluoro-beta-carbonyl benzothiazol-2-yl sulfones with various... 
MEDICINAL CHEMISTRY | ALKENES | PHARMACEUTICALS | WEINREB AMIDES | FLUORO | ESTERS | CHEMISTRY, ORGANIC | JULIA-KOCIENSKI OLEFINATION | SULFONES | EFFICIENT | HIGH-YIELD SYNTHESIS
Journal Article
International Journal of Computer Mathematics: Computer Systems Theory, ISSN 2379-9927, 07/2017, Volume 2, Issue 3, pp. 110 - 120
The generation of new second Julia sets from the complex Gumowski-Mira map is given. We discuss the effect of the second Julia set by taking different... 
coupling | 05.45.Ac | 05.45.Pq | second julia set | complex | synchronization | Gumouski-Mira equation | 05.45.Jn | Gumouski–Mira equation
Journal Article
The China Journal, ISSN 1324-9347, 07/2007, Volume 58, pp. 232 - 234
Journal Article
International Journal of Image and Graphics, ISSN 0219-4678, 04/2009, Volume 9, Issue 2, pp. 153 - 169
We extend Kim's complex exponential function and come up with a theory about Julia sets of Newton method for general exponential equation. We analyze the... 
Journal Article
by Pearse, Rupert M and Clavien, Pierre-Alain and Demartines, Nicolas and Fleisher, Lee A and Grocott, Mike and Haddow, James and Holt, Peter and Moreno, Rui and Pritchard, Naomi and Rhodes, Andrew and Wilson, Matt and Ferguson, Marissa and Macmahon, Michael and Shulman, Mark and Cherian, Ritchie and Currow, Helen and Kanathiban, Kathirgamanathan and Gillespie, David and Pathmanathan, Edward and Phillips, Katherine and Reynolds, Jenifer and Rowley, Joanne and Douglas, Jeanene and Kerridge, Ross and Garg, Sameer and Bennett, Michael and Jain, Megha and Alcock, David and Terblanche, Nico and Cotter, Rochelle and Leslie, Kate and Stewart, Marcelle and Zingerle, Nicolette and Clyde, Antony and Hambidge, Oliver and Rehak, Adam and Cotterell, Sharon and Huynh, Wilson Binh Quan and McCulloch, Timothy and Ben-Menachem, Erez and Egan, Thomas and Cope, Jennifer and Halliwell, Richard and Fellinger, Paul and Haisjackl, Markus and Haselberger, Simone and Holaubek, Caroline and Lichtenegger, Paul and Scherz, Florian and Schmid, Werner and Hoffer, Franz and Cakova, Veronika and Eichwalder, Andreas and Fischbach, Norbert and Klug, Reinhold and Schneider, Elisabeth and Vesely, Martin and Wickenhauser, Reinhart and Grubmueller, Karl Gernot and Leitgeb, Marion and Lang, Friedrich and Toro, Nancy and Bauer, Marlene and Laengle, Friedrich and Haberl, Claudia and Mayrhofer, Thomas and Trybus, Christoph and Buerkle, Christian and Forstner, Karin and Germann, Reinhard and Rinoesl, Harald and Schindler, Elke and Trampitsch, Ernst and Bogner, Gerhard and Dankl, Daniel and Duenser, Martin and Fritsch, Gerhard and Gradwohl-Matis, Ilse and Hartmann, Andreas and Hoelzenbein, Thomas and Jaeger, Tarkan and Landauer, Franz and Lindl, Gregor and Lux, Michael and Steindl, Johannes and Stundner, Ottokar and Szabo, Christian and Bidgoli, Jawad and Verdoodt, Hans and Forget, Patrice and Kahn, David and Lois, Fernande and Momeni, Mona and Prégardien, Caroline and Pospiech, Audrey and Steyaert, Arnaud and Veevaete, Laurent and De Kegel, Dirk and De Jongh, Karen and Foubert, Luc and ... and International Surgical Outcomes Study group and Int Surg Outcomes Study Grp and Region Östergötland and Sinnescentrum and Anestesi- och intensivvårdskliniken US
British Journal of Anaesthesia, ISSN 0007-0912, 11/2016, Volume 117, Issue 5, pp. 601 - 609
Journal Article