Effect of noise on julij sets generjted by logistic MJP

Julia sets are considered one of the most attractive fractals and have wide range of applications in science and engineering. Jrgyris et al. [4] have studied the ef fect of dynamic noise on Julia sets and concluded that Julia sets are stable for noises of low strength, and a small increment in the strength of noise may cause deterioration in configuration of the Julia sets. Rani and Jgarwal [16] have generate d Julia sets from complex logistic map. We study the effect of dynamic noise on the Julia sets generated by complex logistic map.

[1]  L. P. L. D. Oliveira,et al.  Cryptography with chaotic mixing , 2008 .

[2]  Mamta Rani,et al.  A new experimental approach to study the stability of logistic map , 2009 .

[3]  Mamta Rani,et al.  Effect of Stochastic Noise on Superior Julia Sets , 2009, Journal of Mathematical Imaging and Vision.

[4]  J. Parisi,et al.  Instability of the Mandelbrot Set , 1987 .

[5]  Ashish Negi,et al.  A new approach to dynamic noise on superior Mandelbrot set , 2008 .

[6]  Ioannis Andreadis,et al.  On the influence of noise on the coexistence of chaotic attractors , 2000 .

[7]  J. Argyris,et al.  The influence of noise on the correlation dimension of chaotic attractors , 1998 .

[8]  J. Argyris,et al.  Erratum to “On the Julia set of the perturbed Mandelbrot map” [Chaos, Solitons & Fractals 11 (2001) 2067–2073] , 2001 .

[9]  C. Beck Physical meaning for Mandelbrot and Julia sets , 1999 .

[10]  John G. Keating,et al.  A detailed study of the generation of optically detectable watermarks using the logistic map , 2006 .

[11]  J. Parisi,et al.  Smooth Decomposition of Generalized Fatou Set Explains Smooth Structure in Generalized Mandelbrot Set , 1988 .

[12]  Mamta Rani,et al.  Generation of fractals from complex logistic map , 2009 .

[13]  J. Argyris,et al.  On the Julia sets of a noise-perturbed Mandelbrot map , 2002 .

[14]  Ioannis Andreadis,et al.  On perturbations of the Mandelbrot map , 2000 .

[15]  Marcel Ausloos,et al.  The logistic map and the route to chaos : from the beginnings to modern applications , 2006 .

[16]  H. Tong,et al.  On prediction and chaos in stochastic systems , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.