混沌的可加性

从理论上推导了由几个混沌时间序列构成的新序列的动力学特性，提出了可加性的概念.计 算机仿真结果说明，新的时间序列具有分维吸引子，对初始值很敏感，两条邻近轨道随着时 间的增加呈现指数分离，具有短期可预测性，因此新序列也是混沌序列，即混沌具有可加性 .混沌时间序列的可加性理论不仅具有重要的理论意义，而且具有重要的应用价值，它是研 究多跳频电台的跳频码的理论基础. 关键词： 混沌时间序列 吸引子 分维 可加性

Characteristic of addition of chaos

The additivily of chaotic time series is proven theoretically. The result of our computer simulation illustrates that the new chaotic time series, praduced by combining several chaotic time series. Canbave fractal attractors, and is sensitive to the initial states, and predictable in short-term prediction. Also, two different trajectories well depart exponentially with time. Therefore,these new series are chaotic time series. We can say that chaos has characteristic of addition. The characteristic that chaotic time series can be integrated is not only important in theory, but also important in practice. It is a theoretical base to research hopping frequency codes of multi-radio-station.