Rim S, Hwang DU, Kim I, Kim CM
National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Taejon 302-735, Korea.
Phys Rev Lett. 2000 Sep 11;85(11):2304-7. doi: 10.1103/PhysRevLett.85.2304.
We studied the mechanism behind the connection between the transition to chaos of random dynamical systems and the synchronization of chaotic maps driven by external common noises. Near the chaotic transition, the spatial size of random dynamical systems shows an extreme intermittent behavior. By calculating the scaling exponents, we have found that the origin of this intermittent behavior is on-off intermittency. This led us to conclude that chaotic transitions through on-off intermittency can be regarded as a route for random dynamical systems. To clarify this argument, a two-dimensional random dynamical system and two coupled logistic maps driven by external common noises were analyzed.
我们研究了随机动力系统向混沌转变与由外部共同噪声驱动的混沌映射同步之间联系背后的机制。在混沌转变附近，随机动力系统的空间大小呈现出极端的间歇性行为。通过计算标度指数，我们发现这种间歇性行为的起源是开关间歇性。这使我们得出结论，通过开关间歇性的混沌转变可被视为随机动力系统的一条途径。为阐明这一论点，我们分析了一个二维随机动力系统以及由外部共同噪声驱动的两个耦合逻辑斯谛映射。
