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Cosine chaotification technique to enhance chaos and complexity of discrete systems

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Abstract

We hereby propose a cosine chaotification technique (CCT), which has simple structure, complex nonlinear dynamics and bounded orbits, to enhance the chaotic behavior as well as the complexity performance of discrete chaotic systems. To demonstrate the effectiveness of the CCT, we apply the CCT on three different examples, including one-dimensional (1D) logistic map, two population chaotic maps, and the three-dimensional (3D) Hénon map. Performance evaluations prove that the CCT can change the chaotic and non-chaotic states of these maps to chaotic or hyperchaotic state with higher complexity performance. Besides that, the generated maps by CCT have wider chaotic and hyperchaotic behaviors than the existing chaotic maps.

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Authors and Affiliations

  1. Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia

    Hayder Natiq, Santo Banerjee & M. R. M. Said

  2. Malaysia-Italy Centre of Excellence for Mathematical Science, Universiti Putra Malaysia, Serdang, Malaysia

    Santo Banerjee & M. R. M. Said

  3. Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia

    M. R. M. Said

Authors
  1. Hayder Natiq
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  2. Santo Banerjee
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  3. M. R. M. Said
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Corresponding author

Correspondence to Santo Banerjee.

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Natiq, H., Banerjee, S. & Said, M.R.M. Cosine chaotification technique to enhance chaos and complexity of discrete systems. Eur. Phys. J. Spec. Top. 228, 185–194 (2019). https://doi.org/10.1140/epjst/e2019-800206-9

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  • DOI: https://doi.org/10.1140/epjst/e2019-800206-9

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