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Stochastic description of the deterministic Ricker’s population model

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  • Syta, Arkadiusz
  • Litak, Grzegorz

Abstract

We adopt the ‘0–1’ test for chaos using Brownian motion chains to identify the dynamics of the Ricker’s population model. In the ‘0–1’ test ‘0’ is related to regular motion while ‘1’ is associated with chaotic motion. The identified regular and chaotic types of solutions have been confirmed by means of recurrence plots.

Suggested Citation

  • Syta, Arkadiusz & Litak, Grzegorz, 2008. "Stochastic description of the deterministic Ricker’s population model," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 262-268.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:262-268
    DOI: 10.1016/j.chaos.2006.08.047
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    1. P. Gaspard & M. E. Briggs & M. K. Francis & J. V. Sengers & R. W. Gammon & J. R. Dorfman & R. V. Calabrese, 1998. "Experimental evidence for microscopic chaos," Nature, Nature, vol. 394(6696), pages 865-868, August.
    2. Binder, P.-M. & Okamoto, Nicholas H., 2005. "Noisy integer maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 51-64.
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    Cited by:

    1. Litak, G. & Syta, A. & Budhraja, M. & Saha, L.M., 2009. "Detection of the chaotic behaviour of a bouncing ball by the 0–1 test," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1511-1517.
    2. Ding, Shun-Liang & Song, En-Zhe & Yang, Li-Ping & Litak, Grzegorz & Yao, Chong & Ma, Xiu-Zhen, 2016. "Investigation on nonlinear dynamic characteristics of combustion instability in the lean-burn premixed natural gas engine," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 99-110.
    3. Litak, Grzegorz & Syta, Arkadiusz & Wiercigroch, Marian, 2009. "Identification of chaos in a cutting process by the 0–1 test," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2095-2101.

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