摘要
在经典Pad逼近理论的基础上进行了相应推广,提出了广义Pad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Pad逼近式.首先,该广义Pad逼近式有着较简单的泰勒展开式,与现有的Pad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Pad逼近方法的研究具有一定的实际意义和理论价值.
The generalized Pad6 approximate definition is proposed based on classical detinition ot Pate approximation. By utilizing the hyperbolic function, a new form of generalized Pad6 approximation is constructed for determining the homoclinic orbit of strongly nonlinear autonomous oscillator. The Taylor expansion of generalized Pad6 approximation in this paper is simpler than existing ones, which means that the proposed method has less complexity in calculation. The precision of the solutions is high when the nonlinear parameters are large. The proposed method is not restricted to solve some certain systems. It can be utilized in many kinds of systems, which means that the proposed method is generally applicable. So the investigation in generalized Pad6 approximation is meaningful.
出处
《力学学报》
EI
CSCD
北大核心
2013年第3期461-464,共4页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(11172093
11032004)
湖南省研究生科研创新基金(CX2012B159)资助项目~~
关键词
广义Pade逼近
同宿轨道
强非线性
generalized Pad6 approximate, homoclinic orbit, strongly nonlinear
