Dynamical Behaviors in a Two-dimensional Map  

作　　者：YuChang Xu-dongLi 

机构地区：[1]BeijingRemoteSensingInstitute,Beijing100011,China [2]InstituteofAppliedPhysicsandComputationalMathematics,Beijing100088,China

出　　处：《Acta Mathematicae Applicatae Sinica》2003年第4期663-676,共14页应用数学学报（英文版）

基　　金：Supported by Chinese Academy Sciences (KZCX2-SW-118).

摘　　要：We consider the dynamics of a two-dimensional map proposed by Maynard Smith as a population model. The existence of chaos in the sense of Marotto's theorem is first proved, and the bifurcations of periodic points are studied by analytic methods. The numerical simulations not only show the consistence with the theoretical analysis but also exhibi the complex dynamical behaviors.

关 键 词：Snap-back repellers CHAOS Hopf bifurcation strong (weak) resonance 

分 类 号：C92[社会学—人口学] O241.8[理学—计算数学]