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 ...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.展开更多
The chaotic behavior of one-dimensional, 2-segment and 3-segmentpiecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marottoand the parameters conditions of existence for snap-ba...The chaotic behavior of one-dimensional, 2-segment and 3-segmentpiecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marottoand the parameters conditions of existence for snap-back repeller are obtained. Simulation resultsare presented to show the snap-back repeller, some periodic points and attracting interval cycleswith chaotic intervals.展开更多
基金Supported by Chinese Academy Sciences (KZCX2-SW-118).
文摘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.
基金Supported by the National Natural Science Foundation of China "Tian Yuan" (A0324626)
文摘The chaotic behavior of one-dimensional, 2-segment and 3-segmentpiecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marottoand the parameters conditions of existence for snap-back repeller are obtained. Simulation resultsare presented to show the snap-back repeller, some periodic points and attracting interval cycleswith chaotic intervals.
