Abundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity

作者：Slipantschuk Julia^*; Ullner Ekkehard; Baptista Murilo da Silva; Zeineddine Mohammed; Thiel Marco

来源：Chaos, 2010, 20(4): 045117.

DOI：10.1063/1.3527032

Shrimp-shaped periodic regions embedded in chaotic regions in two-dimensional parameter spaces are of specific interest for physical and biological systems. We provide the first observation of these shrimp-shaped stability regions in a parameter space of a continuous time-delayed population model, obtained by taking the delays as bifurcation parameters. The parameter space organization is governed by the presence of infinitely many periodicity hubs, which trigger the spiraling organization of these shrimp-shaped periodic regions around them. We provide evidence that this spiraling organization in the parameter space is a consequence of the existence of homoclinic orbits in the phase space.

• 出版日期2010-12
• 单位河北医科大学