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Rich dynamics of discrete delay ecological models

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  • Peng, Mingshu

Abstract

We study multiple bifurcations and chaotic behavior of a discrete delay ecological model. New form of chaos for the 2-D map is observed: the combination of potential period doubling and reverse period-doubling leads to cascading bubbles.

Suggested Citation

  • Peng, Mingshu, 2005. "Rich dynamics of discrete delay ecological models," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1279-1285.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:5:p:1279-1285
    DOI: 10.1016/j.chaos.2004.09.050
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    Cited by:

    1. Peng, Mingshu & Yuan, Yuan, 2008. "Complex dynamics in discrete delayed models with D4 symmetry," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 393-408.
    2. Rech, Paulo C., 2008. "Naimark–Sacker bifurcations in a delay quartic map," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 387-392.
    3. Sun, Huijing & Cao, Hongjun, 2007. "Bifurcations and chaos of a delayed ecological model," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1383-1393.
    4. Yang, Xiaozhong & Peng, Mingshu & Hu, Jiping & Jiang, Xiaoxia, 2009. "Bubbling phenomenon in a discrete economic model for the interaction of demand and supply," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1428-1438.
    5. Lei, Min & Meng, Guang & Feng, Zhengjin, 2006. "Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 264-270.

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