不定权冲击振子的小振幅周期弹跳解

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-08 DOI:10.1016/j.jmaa.2025.129649

Chunlian Liu , Chao Wang , Zhiguo Wang

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引用次数: 0

摘要

研究了一类权值不定的碰撞振子在原点附近的周期弹跳解。为了正则化相关poincar映射的非光滑性，我们执行了一系列正则变换。利用poincarm - birkhoff定理，证明了该系统存在无穷多个小振幅次谐波弹跳解。

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Small amplitude periodic bouncing solutions for impact oscillators with indefinite weight

We investigate periodic bouncing solutions for a class of impact oscillators with an indefinite weight near the origin. To regularize the non-smoothness of the associated Poincaré map, we perform a series of canonical transformations. By applying the Poincaré-Birkhoff theorem, we establish the existence of infinitely many small amplitude subharmonic bouncing solutions for the system.

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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.