可变形成熟结构细胞群模型的混沌动力学

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Manal Menchih, Khalid Hilal, Ahmed Kajouni, Mohammad Esmael Samei
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引用次数: 0

摘要

本研究的主要目的是分析阶数为\(z\in (0,1)\)的保形成熟结构单元偏微分方程的混沌动力学,该方程扩展了经典的拉索塔方程。为了研究模型解的混沌行为,我们首先将线性混沌的某些标准扩展到保角微积分。这一扩展至关重要,因为我们模型的解并不生成经典半群,而是生成一个 \(c_0\)-z 半群。对于我们模型的速度项,(B(\mathfrak {w})=\mu \mathfrak {w}),其中(\mu \in \mathbb {C}),以及项源(g(\mathfrak {w}, \vartheta (\textsf{r}、=[0,+\infty )\).此外,通过使用保角可容许权重函数并设置(B(\mathfrak {w})=1),我们在解的z-半群中建立了混沌,这次是在(C_{0}(\textrm{J}_0, \mathbb {C}))空间中。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chaotic Dynamics of Conformable Maturity-Structured Cell Population Models

The primary aim of this study is to analyze the chaotic dynamics of a conformable maturity structured cell partial differential equation of order \(z\in (0,1)\), which extends the classical Lasota equation. To examine the chaotic behavior of our model’s solution, we initially extend certain criteria of linear chaos to conformable calculus. This extension is crucial because the solution of our model does not generate a classical semigroup but rather a \(c_0\)-z-semigroup. For the velocity term of our model, \(B(\mathfrak {w})=\mu \mathfrak {w}\), where \(\mu \in \mathbb {C}\), and the term source \(g(\mathfrak {w}, \vartheta (\textsf{r}, \mathfrak {w}))\), we utilize spectral properties of the z-infinitesimal generator to demonstrate chaotic behavior in the space \(C(\textrm{J}_0, \mathbb {C})\), \(\textrm{J}_0:=[0,+\infty )\). Furthermore, by employing conformable admissible weight functions and setting \(B(\mathfrak {w})=1\), we establish chaos in the solution z-semigroup, this time within the space \(C_{0}(\textrm{J}_0, \mathbb {C})\).

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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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