一类单种群差分模型的混沌控制

Chaos Control of Single-species Difference Model

针对一类具有物种流动时特定区域内的种群增长差分方程模型,采用数值模拟方法给出了Lyapunov指数随参数变化的图形,验证了混沌现象的存在。采取OGY参数微扰法进行混沌控制,使种群稳定到不动点和周期2轨道,消除了种群的混沌现象.仿真结果验证了控制的有效性。

In allusion to a difference equation of single-species increasing models with species flowing in the special domain, the presence of chaos phenomenon was validated by computing Lyapunov exponent measure by using numerical method and giving the portrait for the variety of Lyapunov exponent with parameter in the system. By applying the OGY method for controlling the chaos, the sufficient conditions of the species that stabilized in the fixed points and the trajectory of period-2 were obtained and chaos phenomenon was eliminated. The correctness of the conclusion was validated by simulation.