简化Lorenz混沌系统的非线性动力学分析

摘要

借助Lyapunov函数稳定性理论研究了简化Lorenz混沌系统的全局吸引集，得到了它的界估计。通过了计算机模拟，数值模拟验证了计算理论的可行性。%The global attractive set of a modified Lorenz chaotic system is studied via constructing a Lyapunov function. This paper derives its global exponential attractive set for this system. Numerical simulations are presented to show the effec-tiveness of the proposed scheme.