正则化片断线性可见-不可见二折线的滑动循环

IF 1.9 3区 数学 Q1 MATHEMATICS
Renato Huzak, Kristian Uldall Kristiansen
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引用次数: 0

摘要

本文的目的是利用慢发散积分的概念,研究正则化片断线性可见-不可见二折的滑动极限循环次数。我们的研究重点是位于半平面上有一个不可见折点的卡纳德循环所产生的极限循环。我们证明,该积分最多有 1 个零计数多重性(当它不等同于零时)。这意味着卡纳德循环最多能产生 2 个极限循环。此外,我们还能探测到参数空间中存在 2 个极限循环的区域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Sliding Cycles of Regularized Piecewise Linear Visible–Invisible Twofolds

Sliding Cycles of Regularized Piecewise Linear Visible–Invisible Twofolds

The goal of this paper is to study the number of sliding limit cycles of regularized piecewise linear visible–invisible twofolds using the notion of slow divergence integral. We focus on limit cycles produced by canard cycles located in the half-plane with an invisible fold point. We prove that the integral has at most 1 zero counting multiplicity (when it is not identically zero). This will imply that the canard cycles can produce at most 2 limit cycles. Moreover, we detect regions in the parameter space with 2 limit cycles.

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来源期刊
Qualitative Theory of Dynamical Systems
Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.50
自引率
14.30%
发文量
130
期刊介绍: Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.
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