A Note on Homoclinic or Heteroclinic Orbits for the Generalized Henon Map

被引：3
|
作者：
Shi, Yong-guo [1 ,2 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China
[2] Neijiang Normal Univ, Coll Math & Informat Sci, Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2016年 / 32卷 / 02期
关键词：
reversible planar map; homoclinic orbit; heteroclinic orbit; generalized Henon map;
D O I：
10.1007/s10255-016-0580-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An important problem in a given dynamical system is to determine the existence of a homoclinic orbit. We improve the results of Qin and Xiao [Nonlinearity, 20 (2007), 2305-2317], who present some sufficient conditions for the existence of a homoclinic/heteroclinic orbit for the generalized Henon map. Moreover, an algorithm is presented to locate these homoclinic orbits.
引用
收藏
页码：283 / 288
页数：6
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