赫尔佐格型解析函数空间中高阶偏微分方程的混沌半群

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Chaos Solitons & Fractals Pub Date : 2024-12-01 Epub Date: 2024-10-21 DOI:10.1016/j.chaos.2024.115657

A. Taqbibt, M. Chaib, M. Elomari, S. Melliani

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引用次数: 0

摘要

我们针对与摩尔-吉布森-汤普森方程（属于高阶偏微分方程的一种）相关的 C0-半群解，提出了确保德瓦尼混沌和分布性混沌的特定参数综合标准。我们证明，在混沌的情况下，这种 C0-半群表现出具有全支持的强混合度量。此外，我们还提供了一个临界参数，使我们能够区分这些半群在赫佐格型解析函数空间中的稳定性和混沌性。

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Chaotic semigroups for a higher order partial differential equation in Herzog-type space of analytic functions

We present comprehensive criteria for specific parameters to ensure both Devaney chaos and distributional chaos within the context of the

C_{0}

-semigroup solutions associated with the Moore–Gibson–Thompson equation, which belongs to a class of higher order partial differential equations. We demonstrate that this

C_{0}

-semigroup exhibits a strongly mixing measure with full support in cases of chaos. Furthermore, we provide a critical parameter that enables us to distinguish between stability and chaos within these semigroups in the Herzog-type space of analytic functions.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.