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Effect of noise on the bifurcation behavior of nonlinear dynamical systems

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  • Serletis, Apostolos
  • Shahmoradi, Asghar
  • Serletis, Demitre

Abstract

We argue that dynamical noise can dramatically change the dynamics of low dimensional chaotic systems. Moreover, we show that chaos tests are highly sensitive to dynamical noise and this becomes worse when the intensity of the noise increases.

Suggested Citation

  • Serletis, Apostolos & Shahmoradi, Asghar & Serletis, Demitre, 2007. "Effect of noise on the bifurcation behavior of nonlinear dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 914-921.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:914-921
    DOI: 10.1016/j.chaos.2006.01.046
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    References listed on IDEAS

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    1. He, Yijun & Barnett, William A., 2006. "Singularity bifurcations," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 5-22, March.
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    Cited by:

    1. Serletis, Demitre, 2008. "Effect of noise on fractal structure," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 921-924.
    2. Mihailović, Dragutin T. & Budinčević, Mirko & Perišić, Dušanka & Balaž, Igor, 2012. "Maps serving the combined coupling for use in environmental models and their behaviour in the presence of dynamical noise," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 156-165.
    3. Rehman, S. & Siddiqi, A.H., 2009. "Wavelet based hurst exponent and fractal dimensional analysis of Saudi climatic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1081-1090.

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