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高维广义蔡氏电路中的快慢动力学行为及其分岔分析

ISSN号：1000-3290
期刊名称：《物理学报》
时间：0
分类：O322[理学—一般力学与力学基础;理学—力学]
作者机构：[1]江苏大学理学院,镇江212013
相关基金：国家自然科学基金（批准号：10972091;20976075）; 江苏省高校自然科学基金（批准号：11KJB130001）; 江苏大学高级人才基金（批准号：11JDG065）资助的课题~~

关键词：高维广义蔡氏电路, 簇发, 分岔, 特征值, modified Chua＇s circuit, bursting, bifurcation mechanism, eigenvalues

中文摘要：

讨论了四阶广义蔡氏电路在两时间尺度下的动力学行为.由数值模拟得到了系统在不同参数条件下的周期簇发解和混沌吸引子.通过引入快慢分析法,从分岔的角度,以周期解为例,对系统动力学行为产生的机理及其演化规律进行了理论分析和解释,其结论与数值计算的结果基本符合.

英文摘要：

The dynamics of four-order modified Chua＇s circuit with slow-fast effect has been investigated in this letter.Different types of bursting phenomena can be observed in numerical simulations.By introducing slow-fast analysis,the bifurcation mechanism for the periodic bursting solutions,especially for Fold/Fold bursting and Fold/Hopf bursting,is presented,which is different from the usual case.With the variation of the parameter,the periodic bursting can evolve to chaotic bursting.

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