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A coupling of three quadratic maps

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  • Rech, Paulo C.

Abstract

We consider a system of three coupled quadratic maps, being two of them periodic, and the third chaotic. We investigate, via numerical simulations, phenomena associated with the variation of the coupling parameter. Lyapunov exponents, three-dimensional phase-space plots, and bifurcation diagrams are used to characterize the several features observed as the coupling parameter is changed.

Suggested Citation

  • Rech, Paulo C., 2009. "A coupling of three quadratic maps," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1949-1952.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1949-1952
    DOI: 10.1016/j.chaos.2008.07.046
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    References listed on IDEAS

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    1. Rech, Paulo C. & Beims, Marcus W. & Gallas, Jason A.C., 2007. "Generation of quasiperiodic oscillations in pairs of coupled maps," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1394-1410.
    2. Behnia, S. & Akhshani, A. & Mahmodi, H. & Akhavan, A., 2008. "A novel algorithm for image encryption based on mixture of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 408-419.
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