Padé Approximation and Walsh Equiconvergence for Meromorphic Functions with β–Poles

2015 ◽  
Vol 206 (2) ◽  
pp. 225-241 ◽  
Author(s):  
G L López ◽  
S Medina Peralta ◽  
U Fidalgo Prieto

2017 ◽  
Vol 137 (2) ◽  
pp. 147-153
Author(s):  
Akinori Hori ◽  
Hiroki Tanaka ◽  
Yuichiro Hayakawa ◽  
Hiroshi Shida ◽  
Keiji Kawahara ◽  
...  

2001 ◽  
Vol 15 (2) ◽  
pp. 257-263 ◽  
Author(s):  
XIAOWEI YANG ◽  
SUHUAN CHEN ◽  
BAISHENG WU

2009 ◽  
Vol 214 (2) ◽  
pp. 433-441 ◽  
Author(s):  
Jindong Shen ◽  
Chuanqing Gu

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Jingjing Feng ◽  
Qichang Zhang ◽  
Wei Wang ◽  
Shuying Hao

In dynamic systems, some nonlinearities generate special connection problems of non-Z2symmetric homoclinic and heteroclinic orbits. Such orbits are important for analyzing problems of global bifurcation and chaos. In this paper, a general analytical method, based on the undetermined Padé approximation method, is proposed to construct non-Z2symmetric homoclinic and heteroclinic orbits which are affected by nonlinearity factors. Geometric and symmetrical characteristics of non-Z2heteroclinic orbits are analyzed in detail. An undetermined frequency coefficient and a corresponding new analytic expression are introduced to improve the accuracy of the orbit trajectory. The proposed method shows high precision results for the Nagumo system (one single orbit); general types of non-Z2symmetric nonlinear quintic systems (orbit with one cusp); and Z2symmetric system with high-order nonlinear terms (orbit with two cusps). Finally, numerical simulations are used to verify the techniques and demonstrate the enhanced efficiency and precision of the proposed method.


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