Chaotic itinerancy based on attractors of one-dimensional maps.
Chaotic itinerancy based on attractors of one-dimensional maps.
复制标题
基于一维地图吸引子的混沌行程。
作者：
T. Sauer
基于具有混沌吸引子的一维映射，描述了一种构造Lyapunov指数在零附近缓慢收敛的系统的一般方法。在某些参数范围内，这些相对简单的系统表现出称为混沌巡游的间歇动力学特性。我们证明了这些巡游系统除了具有混沌动力学的局部敏感性外，还表现出全局敏感性，即细尺度的加性噪声可能显著改变大尺度上的自然度量。
A general methodology is described for constructing systems that have a slowly converging Lyapunov exponent near zero, based on one-dimensional maps with chaotic attractors. In certain parameter ranges, these relatively simple systems display the properties of intermittent dynamics known as chaotic itinerancy. We show that in addition to the local sensitivity characteristic of chaotic dynamics, these itinerant systems display a global sensitivity, in the sense that fine-scale additive noise may significantly change the natural measure on the large scale.