Bursting oscillations in Duffing's equation with slowly changing external forcing
Bursting oscillations in Duffing's equation with slowly changing external forcing
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DOI：
10.1016/j.cnsns.2011.02.021
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发表时间：
2011-10-01
影响因子：
3.9
通讯作者：
Bi, Qinsheng
中科院分区：
文献类型：
--
作者：
Han, Xiujing;Bi, Qinsheng
当外界强迫变化缓慢时，受迫Duffing方程中可以观察到不同波形的爆发振荡。我们提出了一种分析的突发振荡考虑外部强迫作为一个控制参数，并研究其对受控的Duffing方程的影响。此外，还研究了强迫振幅γ和强迫频率ω对爆发振荡的影响。强迫振幅在爆发振荡的产生中起着重要的作用，即当γ> 2 root 3/9时，爆发振荡可能产生，而当γ < 2 root 3/9时，爆发振荡不产生。另一方面，两个相邻的突发振荡尖峰之间的时间间隔取决于强迫频率，这可以在Δ T = π/ω计算。(C)2011 Elsevier B. V.保留所有权利。
Bursting oscillations with different waveforms can be observed in the forced Duffing's equation when the external forcing changes slowly. We present an analysis of bursting oscillations by considering the external forcing as a control parameter and studying its influence on the controlled Duffing's equation. Furthermore, the effects of forcing amplitude gamma and forcing frequency omega on bursting oscillations are investigated. The forcing amplitude plays an important role in the generation of bursting oscillations, that is, bursting oscillations may be created for gamma > 2 root 3/9, while if gamma < 2 root 3/9, they do not occur. On the other hand, the time interval between two adjacent spikes of bursting oscillations is dependent on the forcing frequency, which can be computed at Delta T = pi/omega. (C) 2011 Elsevier B.V. All rights reserved.