When dynamic behaviors of temporal chaotic system are analyzed, we find that a temporal chaotic system has not only generic dynamic behaviors of chaotic reflection, but also has phenomena influencing two chaotic attra...When dynamic behaviors of temporal chaotic system are analyzed, we find that a temporal chaotic system has not only generic dynamic behaviors of chaotic reflection, but also has phenomena influencing two chaotic attractors by original values. Along with the system parameters changing to certain value, the system will appear a break in chaotic region, and jump to another orbit of attractors. When it is opposite that the system parameters change direction, the temporal chaotic system appears complicated chaotic behaviors.展开更多
This paper deals with the host-parasitoid model,where the logistic equation governs the host population growth,and a proportion of the host population can find refuge.The equilibrium points'existence,number,and lo...This paper deals with the host-parasitoid model,where the logistic equation governs the host population growth,and a proportion of the host population can find refuge.The equilibrium points'existence,number,and local character are discussed.Taking the parameter regulating the parasitoid's growth as a bifurcation parameter,we prove that Neimark-Sacker and period-doubling bifurcations occur.Despite the complex behavior,it can be proved that the system is permanent,ensuring the long-term survival of both populations.Furthermore,it was observed that the presence of the proportional refuge does not significantly influence the system's behavior compared to the system without aproportional refuge.展开更多
文摘When dynamic behaviors of temporal chaotic system are analyzed, we find that a temporal chaotic system has not only generic dynamic behaviors of chaotic reflection, but also has phenomena influencing two chaotic attractors by original values. Along with the system parameters changing to certain value, the system will appear a break in chaotic region, and jump to another orbit of attractors. When it is opposite that the system parameters change direction, the temporal chaotic system appears complicated chaotic behaviors.
文摘This paper deals with the host-parasitoid model,where the logistic equation governs the host population growth,and a proportion of the host population can find refuge.The equilibrium points'existence,number,and local character are discussed.Taking the parameter regulating the parasitoid's growth as a bifurcation parameter,we prove that Neimark-Sacker and period-doubling bifurcations occur.Despite the complex behavior,it can be proved that the system is permanent,ensuring the long-term survival of both populations.Furthermore,it was observed that the presence of the proportional refuge does not significantly influence the system's behavior compared to the system without aproportional refuge.
