Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components

We investigated the multiplicity of periodic solutions for parameterized systems coupling asymmetric components and linear components, where the nonlinearity is allowed to be sign-changing. Our approach was based on an extended version of the Poincaré-Birkhoff theorem, a rotation number approach, and a new existence result.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025412
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components

Hai‐Hua Lu, Tao Shi
AIMS Mathematics
Advanced Differential Equations and Dynamical Systems
article

Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components

Hai‐Hua Lu, Tao Shi
article en

Abstract

We investigated the multiplicity of periodic solutions for parameterized systems coupling asymmetric components and linear components, where the nonlinearity is allowed to be sign-changing. Our approach was based on an extended version of the Poincaré-Birkhoff theorem, a rotation number approach, and a new existence result.

AIMS MathematicsVol. 10(4)
Nantong University (CN)
Openalex Percentile: Top 87%
Advanced Differential Equations and Dynamical Systems
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Multiple periodic solutions of parameterized systems coupling asymmetric components and linear components — Hai‐Hua Lu, Tao Shi · AIMS Mathematics (2025) | TGRS Research Map | TGRS