含有阈值控制策略Hindmarsh-Rose系统的簇发振荡分析

来源 :力学季刊 | 被引量 : 0次 | 上传用户：lich1234554321

【摘要】

：

本文研究了阈值控制策略下不同尺度耦合系统的簇发振荡及其机理.以包含周期激励项的Hindmarsh-Rose模型为例,当激励频率与系统固有频率存在量级差异时,引入阈值控制策略,建立了频域间存在快慢耦合的Filippov系统.因激励项可以被视为一个慢变参数,我们可以相应地得到一个向量场不连续的广义自治系统,从而分析了系统在不同区域随慢变参数变化的平衡点及相关分岔.特别地,由于系统的非光滑特性,我们也分析了非光滑分岔出现的条件,给出了滑动区域的解析表达式.基于阈值控制策略,研究了三种切换条件下的簇发振荡,指出了

【作者】

：

葛亚威陈少敏毕勤胜

【机构】

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江苏大学土木工程与力学学院,江苏镇江212013

【出处】

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力学季刊

【发表日期】

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2021年4期

【关键词】

：

非光滑分岔簇发振荡阈值控制策略 Filippov系统

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含有阈值控制策略Hindmarsh-Rose系统的簇发振荡分析

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