大气共振三波系统的Lyapounov稳定性分析

Lyapounov stability of three-wave system in atmosphere resonance

从正压大气涡度方法出发,利用Lyapounov非线性稳定性理论,构造了广义Lyapounov函数,研究共振三波相互作用系统的非线性稳定问题,获得了若干稳定性判据.

Stabihty of atmosphere resonance three-wave was discussed in this paper with Lyapounov nonlinear interaction from the quasi-geostrophic barotropic vorticity equations. Several nonlinear stability criteria were obtained for three-wave resonance interaction by constructing Lyapounov function.