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

作　　者：Yong-guo SHI 

机构地区：[1]College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China [2]Key Laboratory of Numerical Simulation of Sichuan Province,College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641112,China

出　　处：《Acta Mathematicae Applicatae Sinica》2016年第2期283-288,共6页应用数学学报（英文版）

基　　金：Supported by NSFC(11101295,11301256);SCED(13ZB0005,14TD0026)

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 H@non map. Moreover, an algorithm is presented to locate these homoclinic orbits.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 H@non map. Moreover, an algorithm is presented to locate these homoclinic orbits.

关 键 词：reversible planar map homoclinic orbit heteroclinic orbit generalized Henon map 

分 类 号：O19[理学—数学]