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Technical Brief

General Noise-Perturbed Superior Julia Sets

[+] Author and Article Information
Mamta Rani

Department of Computer Applications,
Krishna Engineering College,
95, Loni Road, Mohan Nagar,
Ghaziabad 201007, UP, India
e-mail: mamtarsingh@rediffmail.com

Rashi Agarwal

Department of Information Technology,
Sharda University,
Knowledge Park II,
Greater Noida 201306, UP, India
e-mail: rasagarwal@gmail.com

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 13, 2011; final manuscript received June 16, 2011; published online July 23, 2012. Assoc. Editor: Eric A. Butcher.

J. Comput. Nonlinear Dynam 8(2), 024501 (Jul 23, 2012) (4 pages) Paper No: CND-11-1007; doi: 10.1115/1.4006785 History: Received January 13, 2011; Revised June 16, 2011

The aim of this paper is to offer an integrated approach to study the additive and multiplicative noises with respect to perturbations in superior Julia sets. External and internal perturbations in superior Julia sets are analyzed under the mixed effect of additive and multiplicative noises.

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Copyright © 2013 by ASME
Topics: Noise (Sound)
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References

Figures

Grahic Jump Location
Fig. 1

(a) SJ at s = 0.9 (b) SJ at low additive and low multiplicative noise (s, m, k) = (0.9, 0.01, 0.01)

Grahic Jump Location
Fig. 2

Effect of increasing strength of multiplicative noise on SJ at low additive noise m = 0.01 at s = 0.8 (row 1) and s = 0.9 (row 2)

Grahic Jump Location
Fig. 3

Effect of increasing additive noise for m ≤ 1 on SJ at low multiplicative noise k = 0.01 at s = 0.9 (row 1) and s = 0.8 (row 2)

Grahic Jump Location
Fig. 4

Effect of increasing additive noise for m > 1 on SJ at low multiplicative noise k = 0.01 at s = 0.9 (row 1) and s = 0.8 (row 2)

Grahic Jump Location
Fig. 5

Effect of higher additive noise and higher multiplicative noise at (m, k, s) = (0.9, 0.9, 0.9)

Grahic Jump Location
Fig. 6

Effect of higher additive noise and higher multiplicative noise at m > 1 and k > 1 at s = 0.9 (row 1) and s = 0.6 (row 2)

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