Synchronization and coupling of new second julia sets from the complex Gumowski–Mira map
作者： Ping Liu , Jialin Hou , Hongjun Song , Xiang Li
DOI: 10.1080/23799927.2017.1339295
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摘要: The generation of new second Julia sets from the complex Gumowski–Mira map is given. We discuss effect set by taking different parameters and analyse their characteristics. ...
sci-hub.se 参考文章(15)
Kazuo Katsuura, Masakazu Washida, Kenji Otsubo, Takao Itoh, Masaki Hayashi, Computer Simulation on the Gumowski-Mira Transformation Forma. ,vol. 15, pp. 121- 126 ,(2000)
L M Saha, M K Das, Mridula Budhraja, Characterization of Attractors in Gumowski-Mira Map Using Fast Lyapunov Indicators Forma. ,vol. 21, pp. 151- 158 ,(2006)
M.R.S Kulenović, Invariants and related Liapunov functions for difference equations Applied Mathematics Letters. ,vol. 13, pp. 1- 8 ,(2000) , 10.1016/S0893-9659(00)00068-9
R. Rammal, Spectrum of harmonic excitations on fractals Journal de Physique. ,vol. 45, pp. 191- 206 ,(1984) , 10.1051/JPHYS:01984004502019100
Ping Liu, Shutang Liu, Control and synchronization of Julia sets in coupled map lattice Communications in Nonlinear Science and Numerical Simulation. ,vol. 16, pp. 3344- 3355 ,(2011) , 10.1016/J.CNSNS.2010.11.008
Yongping Zhang, Shutang Liu, Weihua Sun, Feedback control in fractal mechanics Chaos, Solitons & Fractals. ,vol. 40, pp. 337- 343 ,(2009) , 10.1016/J.CHAOS.2007.07.063
C.A. Clark, E.J. Janowski, M.R.S. Kulenović, Stability of the Gumowski-Mira equation with period-two coefficient Journal of Mathematical Analysis and Applications. ,vol. 307, pp. 292- 304 ,(2005) , 10.1016/J.JMAA.2004.10.046
Thomas C. Halsey, Mogens H. Jensen, Leo P. Kadanoff, Itamar Procaccia, Boris I. Shraiman, Fractal measures and their singularities: The characterization of strange sets Physical Review A. ,vol. 33, pp. 1141- 1151 ,(1986) , 10.1103/PHYSREVA.33.1141
S Marmi, A method for accurate stability bounds in a small denominator problem Journal of Physics A. ,vol. 21, ,(1988) , 10.1088/0305-4470/21/20/001
Wang Xingyuan, Shi Qijiang, The generalized Mandelbort-Julia sets from a class of complex exponential map Applied Mathematics and Computation. ,vol. 181, pp. 816- 825 ,(2006) , 10.1016/J.AMC.2006.02.010