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Stable trajectory of logistic map

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Abstract

In this paper, the stable trajectory of Logistic Map has been investigated by canonical duality theory from the perspective of global optimization. Numerical result of our method shows that it totally differs from traditional chaotic solution solved by Euler method. In addition, we have applied our method to three well-known standard benchmarks in global optimization. Numerical simulations are given to illustrate the effectiveness of the main results.

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Acknowledgments

This research is supported by Australia Government grant through the Collaborative Research Network(CRN) to the University of Ballarat.

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Authors and Affiliations

  1. School of Science, Information Technology and Engineering, University of Ballarat, Mt Helen, VIC , 3350, Australia

    Chaojie Li, Xiaojun Zhou & David Yang Gao

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  1. Chaojie Li
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  2. Xiaojun Zhou
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  3. David Yang Gao
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Correspondence to Xiaojun Zhou.

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Li, C., Zhou, X. & Gao, D.Y. Stable trajectory of logistic map. Nonlinear Dyn 78, 209–217 (2014). https://doi.org/10.1007/s11071-014-1433-y

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  • DOI: https://doi.org/10.1007/s11071-014-1433-y

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