Letellier Christophe, Tsankov Tsvetelin D, Byrne Greg, Gilmore Robert
CORIA UMR 6614, Université de Rouen, BP 12, Av. de l'Université, Saint-Etienne du Rouvray cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Aug;72(2 Pt 2):026212. doi: 10.1103/PhysRevE.72.026212. Epub 2005 Aug 18.
Strange attractors can exhibit bifurcations just as periodic orbits in these attractors can exhibit bifurcations. We describe two classes of large-scale bifurcations that strange attractors can undergo. For each we provide a mechanism. These bifurcations are illustrated in a simple class of three-dimensional dynamical systems that contains the Lorenz system.
奇怪吸引子可以表现出分岔,就像这些吸引子中的周期轨道可以表现出分岔一样。我们描述了奇怪吸引子可能经历的两类大规模分岔。对于每一类,我们都提供了一种机制。这些分岔在一类包含洛伦兹系统的简单三维动力系统中得到了说明。