Asymptotic stability and bifurcations of a perturbed McMillan map

IF 1.5 3区 数学 Q1 MATHEMATICS
Lili Qian, Qiuying Lu, Guifeng Deng
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引用次数: 0

Abstract

This paper presents various bifurcations of the McMillan map under perturbations of its coefficients, such as period-doubling, pitchfork, and hysteresis bifurcation. The associated existence regions are located. Using the quasi-Lyapunov function method, the existence of asymptotically stable fixed point is also demonstrated.
扰动麦克米兰图的渐近稳定性和分岔
本文介绍了麦克米兰图在其系数扰动下的各种分岔,如周期加倍分岔、叉形分岔和滞后分岔。找到了相关的存在区域。利用准李亚普诺夫函数方法,还证明了渐近稳定定点的存在。
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来源期刊
自引率
6.20%
发文量
136
期刊介绍: The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.
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