Collapse of duck solution in a circuit driven by an extremely small periodic force
Collapse of duck solution in a circuit driven by an extremely small periodic force
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DOI：
10.1002/ecjc.20093
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发表时间：
2005-04
期刊：
影响因子：
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通讯作者：
M. Sekikawa;N. Inaba;T. Yoshinaga;H. Kawakami
中科院分区：
文献类型：
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作者：
M. Sekikawa;N. Inaba;T. Yoshinaga;H. Kawakami
在本文中，我们研究什么类型的分岔发展时，一个非常小的周期性的力量驱动一个货车der Pol振荡器，产生鸭子的解决方案。我们建立了分岔图，并解释了在基波卷吸区、1/2次谐波卷吸区和1/3次谐波卷吸区的分岔结构。在每个区域，我们观察到的级联产生的倍周期分岔在非常小的周期力范围内，和混沌的发生。我们还发现了一个非常有趣的现象，即当受到一个极小的周期力驱动时，存在两个鸭子解。© 2004 Wiley Periodicals，Inc. Electron Comm Jpn Pt 3，88（4）：51-59，2005;在线发表于Wiley InterScience（www.interscience.wiley.com）。DOI 10.1002/ecjc.20093
In this paper, we examine what type of bifurcation develops when an extremely small periodic force drives a van der Pol oscillator that generates the duck solution. We create the bifurcation diagrams and explain the structures of bifurcation in the fundamental harmonic entrainment region, 1/2 subharmonic entrainment region, and 1/3 subharmonic entrainment region. In each region, we observed the cascade generation of the period-doubling bifurcation in the extremely small periodic force range, and the occurrence of chaos. We also discovered the very interesting phenomenon of the existence of two duck solutions when driven by an extremely small periodic force. © 2004 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 88(4): 51–59, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.20093