耦合混沌系统时空动力学的模拟研究

Simulated Study of Coupled Chaotic Systems' Spatiotemporal Dynamics

研究了相同结构的混沌系统耦合后所得到的新系统的时空动力学行为及其系统特性.通过计算机仿真得到了耦合系统的分岔图和Lyapunov指数;在系统初值受噪声干扰的情况下,对混沌轨道偏移的均方根误差值与参与耦合的混沌子系统数量之间的关系进行了研究.计算机仿真结果证明,耦合后得到的新系统仍然是混沌态的,因此,它依旧保持了对初值的敏感性;但同时降低了混沌轨道指数漂移的不稳定性,在一定程度上抑制了噪声对系统初值的干扰.

The spatiotemporal dynamics behavior and system characteristic has been discovered for a new system coupled by some chaotic systems with same structure. Computer simulation shows its bifucations diagram, and Lyapunov exponent. Relationship between coupled systems＇ root mean square error of chaotic trajectory＇s excursion and the number of coupled chaotic system has been studied too. Results show that the new system is still in chaos, keeps sensitivity of initial states,. At the same time, it can reduce the unstableness of chaotic trajectories, which can help to restrain noise in the initial condition.