论文标题
Rössler模型中的同型混乱
Homoclinic chaos in the Rössler model
论文作者
论文摘要
我们研究了O.Rössler在1976年提出的经典3D模型中的同层混乱的起源。我们特别感兴趣的是Shilnikov Saddle-Poci的复杂分歧，以及它们的协同作用如何确定该模型的全球发展以及其混乱吸引者的转型。我们应用了提出的两种计算方法，1D返回图和专门针对该模型的符号方法来仔细检查同型分叉，并在Rössler模型的参数空间中检测结构稳定和混乱的动力学区域。
We study the origin of homoclinic chaos in the classical 3D model proposed by O. Rössler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle-foci and how their synergy determines the global unfolding of the model, along with transformations of its chaotic attractors. We apply two computational methods proposed, 1D return maps and a symbolic approach specifically tailored to this model, to scrutinize homoclinic bifurcations, as well as to detect the regions of structurally stable and chaotic dynamics in the parameter space of the Rössler model.
