Exact solutions for the quadratic mixed-parity Helmholtz-Duffing oscillator by bifurcation theory of dynamical systems
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- 作者：Yixiang Geng ; yixiang_gg@163.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Soliton solution ; Kink and anti-kink solution ; Periodic solution ; Theory of bifurcation ; Helmholtz-Duffing oscillator
- 刊名：Chaos, Solitons & Fractals
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：81
- 期：part_PA
- 页码：68-77
- 全文大小：1392 K
文摘
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On the one hand, our aim is to derive all possible explicit parametric representations of the bounded solutions of the system and improve the result in other papers.
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On the other hand, we obtain the global dynamical behavior of the system and give various sufficient conditions to guarantee the existence of these solutions in detail.