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求强非线性自治振子同宿轨的广义Padé逼近方法

李震波 唐驾时 蔡萍

李震波, 唐驾时, 蔡萍. 求强非线性自治振子同宿轨的广义Padé逼近方法[J]. 力学学报, 2013, 45(3): 461-464. doi: 10.6052/0459-1879-12-277
引用本文: 李震波, 唐驾时, 蔡萍. 求强非线性自治振子同宿轨的广义Padé逼近方法[J]. 力学学报, 2013, 45(3): 461-464. doi: 10.6052/0459-1879-12-277
Li Zhenbo, Tang Jiashi, Cai Ping. HOMOCLINIC ORBIT OF STRONGLY NONLINEAR AUTONOMOUS OSCILLATOR VIA GENERALIZED PADÉ APPROXIMATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 461-464. doi: 10.6052/0459-1879-12-277
Citation: Li Zhenbo, Tang Jiashi, Cai Ping. HOMOCLINIC ORBIT OF STRONGLY NONLINEAR AUTONOMOUS OSCILLATOR VIA GENERALIZED PADÉ APPROXIMATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 461-464. doi: 10.6052/0459-1879-12-277

求强非线性自治振子同宿轨的广义Padé逼近方法

doi: 10.6052/0459-1879-12-277
基金项目: 国家自然科学基金(11172093,11032004)和湖南省研究生科研创新基金(CX2012B159)资助项目.
详细信息
    通讯作者:

    李震波,博士研究生,主要研究方向:非线性动力学与控制.E-mail:lizhenbo126@126.com

  • 中图分类号: O19

HOMOCLINIC ORBIT OF STRONGLY NONLINEAR AUTONOMOUS OSCILLATOR VIA GENERALIZED PADÉ APPROXIMATION METHOD

Funds: The project was supported by the National Natural Science Foundation of China (11172093, 11032004) and the Hunan Provincial Innovation Foundation for Postgraduate (CX2012B159).
  • 摘要: 在经典Padé逼近理论的基础上进行了相应推广,提出了广义Padé逼近方法,并针对强非线性自治振子同宿轨的求解问题,利用双曲函数构造了一种新的广义Padé逼近式. 首先,该广义Padé逼近式有着较简单的泰勒展开式,与现有的Padé逼近式相比,在计算同阶逼近时,计算量更少;其次,该方法在强非线性时,依然有着较高的精度;第三,该方法并不局限于某些特定的系统,而是有着较广的适用范围. 因此对于广义Padé逼近方法的研究具有一定的实际意义和理论价值.

     

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  • 被引次数: 0
出版历程
  • 收稿日期:  2012-11-30
  • 修回日期:  2012-12-24
  • 刊出日期:  2013-05-18

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