解析可积分周期差分系统的解析归一化

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-09 DOI:10.1016/j.jmaa.2025.129579

Lazhan Yang, Ying Yang, Zhihua Ren

引用次数: 0

摘要

本文的主要目的是研究完全解析可积周期差分系统的范式和解析归一化的存在性。本文将奇异附近解析可积自治差分系统的范式理论推广到周期差分系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analytic normalization of analytically integrable periodic difference system

The main purpose of this paper is to study the normal form and the existence of analytic normalization for the completely analytically integrable periodic difference system. The study extends the normal form theory of analytically integrable autonomous difference systems near a singularity to periodic difference systems.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.