Max-Planck Institut fur Physik Komplexer Systeme, Dresden, Germany.
Chaos. 2009 Sep;19(3):033116. doi: 10.1063/1.3194250.
Parametric modulation in nonlinear dynamical systems can give rise to attractors on which the dynamics is aperiodic and nonchaotic, namely, with largest Lyapunov exponent being nonpositive. We describe a procedure for creating such attractors by using random modulation or pseudorandom binary sequences with arbitrarily long recurrence times. As a consequence the attractors are geometrically fractal and the motion is aperiodic on experimentally accessible time scales. A practical realization of such attractors is demonstrated in an experiment using electronic circuits.
参数调制在非线性动力系统中可以产生吸引子，这些吸引子的动力学是非周期性和非混沌的，即最大 Lyapunov 指数是非正的。我们描述了一种通过使用随机调制或具有任意长重复时间的伪随机二进制序列来创建这样的吸引子的方法。因此，吸引子在几何上是分形的，并且在实验可及的时间尺度上运动是无周期的。利用电子电路进行的实验实现了这样的吸引子。
