快慢型Lorenz系统的非线性动力学研究

Analysis of Nonlinear Dynamics of the Fast-Slow Lorenz System

基于Lyapunov函数稳定性理论研究了快慢型Lorenz系统的平衡点、全局指数吸引集等问题,进行了计算机模拟,验证了理论计算的正确性与可行性.

Based on Lyapunov function theory,we have investigated the equilibrium points and global attractive sets of the new fast-slow Lorenz system.Based on the global attractive sets obtained in this paper,we can get the boundedness of all variables of the system.Finally,we make numerical simulations,and the results are consistent with our computation.