混沌同步
同步
同步(交流)
计算机科学
李雅普诺夫指数
混乱的
吸引子
混沌控制
控制理论(社会学)
混沌系统
惊喜
拓扑(电路)
数学
人工智能
控制(管理)
数学分析
电信
沟通
社会学
频道(广播)
组合数学
传输(电信)
作者
Louis M. Pecora,Thomas L. Carroll
出处
期刊:Chaos
[American Institute of Physics]
日期:2015-04-16
卷期号:25 (9)
被引量:322
摘要
We review some of the history and early work in the area of synchronization in chaotic systems. We start with our own discovery of the phenomenon, but go on to establish the historical timeline of this topic back to the earliest known paper. The topic of synchronization of chaotic systems has always been intriguing, since chaotic systems are known to resist synchronization because of their positive Lyapunov exponents. The convergence of the two systems to identical trajectories is a surprise. We show how people originally thought about this process and how the concept of synchronization changed over the years to a more geometric view using synchronization manifolds. We also show that building synchronizing systems leads naturally to engineering more complex systems whose constituents are chaotic, but which can be tuned to output various chaotic signals. We finally end up at a topic that is still in very active exploration today and that is synchronization of dynamical systems in networks of oscillators.
科研通智能强力驱动
Strongly Powered by AbleSci AI