Study of degenerate bifurcations in Maps: a Feedback Systems Approach
Study of degenerate bifurcations in Maps: a Feedback Systems Approach
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地图中简并分叉的研究：反馈系统方法
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
E. Paolini
中科院分区：
文献类型：
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作者：
M. B. D’Amico;J. Moiola;E. Paolini
利用频域方法研究了退化倍周期或退化Hopf分岔的非线性映射的动力学行为。该技术基于系统的离散时间反馈表示以及应用著名的谐波平衡工程工具来逼近新出现的解。更具体地说，结果是一个高阶扩展的作者所获得的非退化分岔的发展。为了说明，包括两个例子。
The dynamical behavior of nonlinear maps undergoing degenerate period doubling or degenerate Hopf bifurcations is studied via a frequency-domain approach. The technique is based on a discrete-time feedback representation of the system and the application of the well-known engineering tools of harmonic balance to approximate the emerging solutions. More specifically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for illustration.