利用单驱动变量实现一类混沌系统的线性和非线性广义同步

Linear and nonlinear generalized synchronization of a class of chaotic systems by using a single driving variable

研究了一类混沌系统的线性和非线性的广义同步.对此类混沌系统,通过设计一个合适的响应系统,可以仅通过传递一个驱动变量实现系统的线性和非线性广义同步.给出了该响应系统设计的一般方法.由于只需传递一个信号,比已有方法具有更高的实用价值,理论推导和数值仿真进一步表明了该方法的有效性.

By designing a suitable response system to a class of chaotic systems, we realise the linear and nonlinear generalized synchronizations for these chaotic systems by only transmitting a single variable. The method of obtaining the response system from chaotic system is proposed. Since chaos synchronization can be achieved by transmitting the single variable from driving system to response system, this method is more practical. Theoretical deduction and computer simulation show the effectiveness of the proposed method.