二维不可压缩Navier-Stokes方程的新七模类Lorenz方程组的混沌行为

The Dynamical Behavior and Numerical Simulation of a New Seven-Modes Lorenz-Like System

讨论了二维不可压缩Navier-Stokes方程的新七模类Lorenz方程组的动力学行为,证明了该方程组吸引子的存在性,并对其全局稳定性进行了分析和讨论,数值模拟了雷诺数在一定范围内变化时类Lorenz方程组的混沌行为.

The dynamical behavior of a new seven-modes Lorenz-like system is studied, the existence of the attractor of the seven-modes Lorenz equations is proved, and the stability of the equations is disscused. The chaos behavior is simulated numerically according to Reynolds number changes .