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A generalized Pad,-Lindstedt-Poincar, method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators

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成果类型:
期刊论文
作者:
Li, Zhenbo*;Tang, Jiashi
通讯作者:
Li, Zhenbo
作者机构:
[Li, Zhenbo] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Tang, Jiashi] Hunan Univ, Coll Mech & Vehicle Engn, Changsha 410082, Hunan, Peoples R China.
通讯机构:
[Li, Zhenbo] U
Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
Generalized Pade approximation;Homoclinic bifurcation;Heteroclinic bifurcation;Helmholtz-Duffing oscillator;Phi(6)-Van der Pol oscillator
期刊:
Nonlinear Dynamics
ISSN:
0924-090X
年:
2016
卷:
84
期:
3
页码:
1201-1223
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11172093, 11372102]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
By combining the generalized Pad, approximation method and the well-known Lindstedt-Poincar, method, a novel technique, referred to as the generalized Pad,-Lindstedt-Poincar, method, is proposed for determining homo-/heteroclinic orbits of nonlinear autonomous oscillators. First, the classical Pad, approximation method is generalized. According to this generalization, the numerator and denominator of the Pad, approximant are extended from polynomial functions to a series composed of any kind of continuous function, which means that the generalized Pad, approximant is not limited to some certai...

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