Search results for: chaotic dynamics - MOST Wiedzy

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Search results for: chaotic dynamics

Search results for: chaotic dynamics

  • REGULAR & CHAOTIC DYNAMICS

    Journals

    ISSN: 1560-3547 , eISSN: 1468-4845

  • Nilpotent singularities and chaos: Tritrophic food chains

    Publication

    - CHAOS SOLITONS & FRACTALS - Year 2021

    Local bifurcation theory is used to prove the existence of chaotic dynamics in two well-known models of tritrophic food chains. To the best of our knowledge, the simplest technique to guarantee the emergence of strange attractors in a given family of vector fields consists of finding a 3-dimensional nilpotent singularity of codimension 3 and verifying some generic algebraic conditions. We provide the essential background regarding...

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  • Stochastic intervals for the family of quadratic maps

    Open Research Data
    open access

    Numerical analysis of chaotic dynamics is a challenging task. The one-parameter families of logistic maps and closely related quadratic maps f_a(x)=a-x^2 are well-known examples of such dynamical systems. Determining parameter values that yield stochastic-like dynamics is especially difficult, because although this set has positive Lebesgue measure,...