Canards in Generalized Liénard Equations with Turning Points

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-08 DOI:10.1007/s10255-025-0050-5

Jin-hui Yao, Ji-cai Huang

引用次数: 0

Abstract

The goal of this paper is to investigate canard solutions in generalized Liénard equations with a generic or non-generic turning point. We first use a blow-up weight to desingularize the turning point and employ some methods from dynamical systems theory to study the dynamics near the turning point. Then the existence of canard solutions is shown and the first order approximation of the control curve is given by extended Melnikov theory.

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带拐点的广义lisamadard方程中的鸭

本文的目的是研究具有一般拐点和非一般拐点的广义lisamadard方程的canard解。首先利用爆破权值对拐点进行解奇异化，然后利用动力系统理论中的一些方法对拐点附近的动力学进行研究。然后证明了鸭解的存在性，并利用扩展Melnikov理论给出了控制曲线的一阶逼近。

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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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.