A new experimental approach to study the stability of logistic map

Chaos, Solitons and Fractals

Volumn 41, Issue 4, 2009, Pages 2062-2066

  Rani, Mamta ^a   Agarwal, Rashi ^b  

^a GALGOTIAS COLLEGE OF ENGINEERING AND TECHNOLOGY   (India)

^b IEC College of Engineering and Technology   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC BEHAVIORS; DISCRETE DYNAMICS; EXPERIMENTAL APPROACHES; LOGISTIC MAPS; LOGISTIC TRANSFORMATION; SUPERIOR ORBITS;

MATHEMATICAL TECHNIQUES;

EID: 67449118832     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.08.022     Document Type: Article

References (17)

1. Ausloos M., and Dirickx M. The logistic map and the route to chaos: from the beginnings to modern applications (2006), Springer-Verlag, New York
2. In: Bunde A., and Havlin S. (Eds). Fractals in science (1994), Springer-Verlag, Berlin Heidelberg
3. Crownover R.M. Introduction to fractals and chaos (1995), Jones & Barlett Publishers
4. Devaney R.L. A first course in chaotic dynamical systems: Theory and experiment (1992), Addison-Wesley
5. Holmgren R.A. A first course in discrete dynamical systems (1994), Springer-Verlag
6. Kumar M. Ph.D. Thesis "Fractal Modeling in Graphics", Gurukala Kangri Vishwavidyalaya, Hardwar, India, 2006.
7. Kumar M., and Rani M. An experiment with summability methods in the dynamics of the logistic model. Indian J Math 47 1 (2005) 77-89 MR2155130
8. Mann W.R. Mean value methods in iteration. Proc Am Math Soc 4 (1953) 506-510
9. Mooney A., Keating J.G., and Heffernan D.M. A detailed study of the generation of optically detectable watermarks using the logistic map. Chaos Solitons Fract 30 (2006) 1088-1097
10. de Oliveira L.P.L., and Sobottka M. Cryptography with chaotic mixing. Chaos Solitons Fract 35 (2006) 466-471
11. Peitgen H., Jurgens H., and Saupe D. Chaos and fractals (2004), Springer-Verlag, New York
12. In: Peitgen H., and Saupe D. (Eds). The science of fractal images (1988), Springer, Verlag
13. Rani M. Ph.D. Thesis "Iterative procedure in Fractals and Chaos", Gurukala Kangri Vishwavidyalaya, Hardwar, India, 2002.
14. Rani M., and Kumar V. A new experiment with the logistic map. J Indian Acad Math 27 1 (2005) 143-156
15. Hassan S., and Mohammad S. Indirect adaptive control of discrete chaotic systems. Chaos Solitons Fract 34 (2007) 1188-1201
16. Vázquez-Medina R., Di{dotless}́az-Méndez A., Del Ri{dotless}́o-Correa J.L., and Lopez-Hernandez J. Design of chaotic analogue noise generators with logistic map and MOS QT circuits. Chaos Solitons Fract 40 (2009) 1779-1793
17. Dixiong Y., Gang L., and Gengdong C. On the efficiency of chaos optimization algorithms for global optimization. Chaos Solitons Fract 34 (2007) 1366-1375