积分差分方程的数值动力学:正向动力学和回拉吸引子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-11 DOI:10.3934/jcd.2023003

H. Huynh, P. Kloeden, Christian Potzsche

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引用次数: 0

摘要

为了确定非自治方程的动力学，需要了解它们的前向和后向行为。为此，我们给出了度量空间中一般非自治差分方程的吸引不变量集存在的充分判据。此外，还证明了前向吸引子和后向吸引子以及前向极限集都是持续存在的，并且后向极限集和后向极限集在摄动下甚至收敛。作为具体应用，我们研究了配置型空间离散化下的积分差分方程。

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Numerical dynamics of integrodifference equations: Forward dynamics and pullback attractors

In order to determine the dynamics of nonautonomous equations both their forward and pullback behavior need to be understood. For this reason we provide sufficient criteria for the existence of such attracting invariant sets in a general setting of nonautonomous difference equations in metric spaces. In addition it is shown that both forward and pullback attractors, as well as forward limit sets persist and that the latter two notions even converge under perturbation. As concrete application, we study integrodifference equation under spatial discretization of collocation type.

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来源期刊

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.