Dynamical analysis of Mathieu equation with two kinds of van der Pol fractional-order terms
详细信息 查看全文
- 作者：Shaofang Wena ; Yongjun Shenb ; shenyongjun@126.com" class="auth_mail" title="E-mail the corresponding author ; Xianghong Lic ; Shaopu Yangb
- 关键词：Mathieu equation ; Fractional-order derivative ; Van der Pol oscillator ; Averaging method
- 刊名：International Journal of Non-Linear Mechanics
- 出版年：2016
- 出版时间：September 2016
- 年：2016
- 卷：84
- 期：Complete
- 页码：130-138
- 全文大小：1555 K
文摘
- class="listitem" id="list_li0005">
- class="label">•
The analytical solution for Mathieu equation with two VDP fractional-order terms is obtained.
- class="label">•
The stationary solution, amplitude–frequency equation and stability condition are presented.
- class="label">•
The effects of the fractional-order parameters on system response are characterized.