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<p>We examine the asymptotic properties of the dynamical system associated with the Lasota equation. We provide conditions for its stability as well as for chaos in the sense of Devaney within Morrey spaces. Additionally, we explore the criteria under which the asymptotic behavior extends to a more general form of the equation. This work notably generalizes the asymptotic results previously established for the von Foerster–Lasota equation in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^{p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation> spaces.</p>

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Analysis of the chaotic behavior of the Lasota equation in Morrey spaces

  • 期刊论文

  • 发表日期：

    2026年1月10日

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  • El-Mahdi Nafia,
  • Abdellah Taqbibt,
  • M.’hamed El Omari

摘要

We examine the asymptotic properties of the dynamical system associated with the Lasota equation. We provide conditions for its stability as well as for chaos in the sense of Devaney within Morrey spaces. Additionally, we explore the criteria under which the asymptotic behavior extends to a more general form of the equation. This work notably generalizes the asymptotic results previously established for the von Foerster–Lasota equation in \(L^{p}\) L p spaces.