@misc{Chen_Qiaoling_Bifurcation,
 author={Chen, Qiaoling and Teng, Zhidong and Hu, Zengyun},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={The dynamics of a discrete-time predator?prey model with Holling-IV functional response are investigated. It is shown that the model undergoes a flip bifurcation, a Hopf bifurcation and a saddle-node bifurcation by using the center manifold theorem and bifurcation theory.},
 abstract={Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period-doubling bifurcations in period-2, 4, 8, 16, quasi-periodic orbits, an attracting invariant circle, an inverse period-doubling bifurcation from the period-32 orbit leading to chaos and a boundary crisis, a sudden onset of chaos and a sudden disappearance of the chaotic dynamics, attracting chaotic sets and non-attracting sets.},
 abstract={We also observe that when the prey is in chaotic dynamics the predator can tend to extinction or to a stable equilibrium. Specifically, we stabilize the chaotic orbits at an unstable fixed point by using OGY chaotic control.},
 type={artykuł},
 title={Bifurcation and control for a discrete-time prey-predator model with Holling-IV functional response},
 keywords={discrete prey?predator model, flip bifurcation, Hopf bifurcation, saddle-node bifurcation, OGY chaotic control},
}