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Chaos and periodicity in Vallis model for El Niño

Author

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  • Borghezan, Monik
  • Rech, Paulo C.

Abstract

We investigate a two-dimensional parameter-space of a three-parameter, three-variable, continuous-time dynamical system, namely the Vallis model for El Niño phenomenon. We report on modifications in this parameter-space, as a function of the third parameter which is varied. More specifically we report on organization of chaos and periodicity, showing the existence of periodic structures embedded in a chaotic region, which are organized in period-adding sequences.

Suggested Citation

  • Borghezan, Monik & Rech, Paulo C., 2017. "Chaos and periodicity in Vallis model for El Niño," Chaos, Solitons & Fractals, Elsevier, vol. 97(C), pages 15-18.
    • Handle: RePEc:eee:chsofr:v:97:y:2017:i:c:p:15-18
    DOI: 10.1016/j.chaos.2017.01.018
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    References listed on IDEAS

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    1. da Silva, Rodrigo A. & Rech, Paulo C., 2015. "Spiral periodic structures in a parameter plane of an ecological model," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 9-13.
    2. Fabiola Prants & Paulo Rech, 2014. "Organization of periodic structures in a damped-forced oscillator," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(9), pages 1-4, September.
    3. Garay, B.M. & Indig, B., 2015. "Chaos in Vallis’ asymmetric Lorenz model for El Niño," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 253-262.
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