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Generation of fractals from complex logistic map

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  • Rani, Mamta
  • Agarwal, Rashi

Abstract

Remarkably benign looking logistic transformations xn+1=r xn(1−xn) for choosing x0 between 0 and 1 and 0

Suggested Citation

  • Rani, Mamta & Agarwal, Rashi, 2009. "Generation of fractals from complex logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 447-452.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:447-452
    DOI: 10.1016/j.chaos.2009.01.011
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    References listed on IDEAS

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    1. El Naschie, M.S., 2008. "Quantum golden field theory – Ten theorems and various conjectures," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1121-1125.
    2. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    3. Mohammad Shahrokhi, 2011. "Adaptive Control of Chaos," Chapters, in: Esteban Tlelo-Cuautle (ed.), Chaotic Systems, IntechOpen.
    4. El Naschie, M.S., 2008. "From E-eight to E-Infinity," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 285-290.
    5. Mooney, Aidan & Keating, John G. & Heffernan, Daniel M., 2006. "A detailed study of the generation of optically detectable watermarks using the logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1088-1097.
    6. Yang, Dixiong & Li, Gang & Cheng, Gengdong, 2007. "On the efficiency of chaos optimization algorithms for global optimization," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1366-1375.
    7. Salarieh, Hassan & Shahrokhi, Mohammad, 2007. "Indirect adaptive control of discrete chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1188-1201.
    8. de Oliveira, Luiz P.L. & Sobottka, Marcelo, 2008. "Cryptography with chaotic mixing," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 466-471.
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    Cited by:

    1. Spichak, David & Aragoneses, Andrés, 2022. "Exploiting the impact of ordering patterns in the Fisher-Shannon complexity plane," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Mohamed, Sara M. & Sayed, Wafaa S. & Said, Lobna A. & Radwan, Ahmed G., 2022. "FPGA realization of fractals based on a new generalized complex logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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