2个外激励下BVP耦合电路的簇发行为分析

发布时间：2018-01-05 03:13

本文关键词：2个外激励下BVP耦合电路的簇发行为分析　出处：《江苏大学学报(自然科学版)》2017年01期 　论文类型：期刊论文

【摘要】：为了明确多个外激励作用下系统的簇发行为,通过引入2个电压源控制的电路模块,建立了具有双激励的5阶广义BVP耦合电路模型.将2个外激励项转化为1个慢变量并将其视为慢变参数,激励系统转化为广义自治系统,分析了广义自治系统平衡点的稳定性以及分岔条件.应用快慢分析法和转换相图探讨了系统分别在3组参数条件的簇发振荡行为及其诱发机理.结果表明,多平衡态共存的情况下,系统轨线所处的吸引域决定了轨线的走向.
[Abstract]:In order to clarify the cluster distribution of the system under multiple external excitations, two voltage source controlled circuit modules are introduced. A five-order generalized BVP coupling circuit model with double excitation is established. The two external excitations are transformed into a slow variable and regarded as a slow-varying parameter, and the excitation system is transformed into a generalized autonomous system. The stability and bifurcation conditions of the equilibrium point of the generalized autonomous system are analyzed. By using the fast and slow analysis method and the transformation phase diagram, the cluster oscillation behavior and the induced mechanism of the system in three sets of parameter conditions are discussed. In the case of the coexistence of multi-equilibrium states, the direction of the trajectory is determined by the attraction region in which the rail line is located.
【作者单位】：江苏大学土木工程与力学学院;
【基金】：国家自然科学基金资助项目(21276115,11572141)
【分类号】：O322
【正文快照】： 引文格式:张晓芳,吴磊.2个外激励下BVP耦合电路的簇发行为分析[J].江苏大学学报(自然科学版),2017,38(1):62-67.多时间尺度动力学广泛存在于物理学、化学、生物学、地球物理学等[1-3]动力系统之中.作为非线性动力学研究领域的重要组成部分,它从动力学的角度揭示了多时间尺度事

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