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参数与时滞相关延迟振子的稳定性及Hopf分岔分析 被引量:3

Stability and Hopf Bifurcation Analysis of Delayed Oscillator with Delay-Dependent Parameters
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摘要 首先,采用特征根法分析参数与时滞相关延迟振子的稳定性,并给出稳定性切换准则;其次,应用中心流形和规范型理论分析系统分岔周期解的稳定性和周期性. Firstly,the method of characteristic root was used to analyze the stabilityof delayed oscillator with delay-dependent parameters,and a criterion for stability switches was given.Secondly,thestability and periodicity of bifurcating periodic solutions wereanalyzed by using the center manifold and the normal form theory.
作者 罗佳伟 徐旭 LUO Jiawei;XU Xu(School of Mathematics,Liaoning University,Shenyang 110036,China;College of Mathematics,Jilin University,Changchun 130012,China)
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2018年第6期1337-1344,共8页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11402107 11401283)
关键词 惯性项 时滞 稳定性切换 HOPF分岔 inertial term delay stability switch Hopf bifurcation
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