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近年来，等离子体系统非线性效应的研究十分活跃〔１～５〕．由于其负能量和正能量的波耦合能够导致非线性性质的不稳定性．故称为突发性不稳定性〔５〕．这在非线性效应的等离子体场中存在是一个十分有趣的现象．纵波与横波一样，同样能够携带负能量．因此，从原理上说这两种辐射波都能满足多方参与的非线性不稳定性的需要〔４～６〕．在文献〔５～７〕中，由于均匀流动的等离子体中三个纵波和二个横波共处于一个非线性不稳定的谐振五波相互作用系统，从而获得了Ｌｏｒｅｎｚ型混沌．本文证明了在均匀流动等离子体中，五个单色波的非线性耦合波方程可以重新写成同构于描述混沌的Ｌｏｒｅｎｚ方程，预言在此过程中出现Ｌｏｒｅｎｚ型混沌的可能性
In recent years, the plasma system nonlinear effect is very active 〔1 ~ 5〕. Because of its negative energy and positive energy wave coupling can lead to non-linear nature of the instability. It is called sudden instability 〔5〕. This is a very interesting phenomenon in the non-linear plasma field. P-wave and S-wave, the same can carry negative energy. Therefore, in principle, these two kinds of radiated waves can meet the needs of multi-participative nonlinear instability [4-6]. In [5 ~ 7], Lorenz-type chaos is obtained because three longitudinal waves and two transverse waves in a uniformly flowing plasma co-exist in a nonlinear unstable five-wave resonant system. In this paper, we prove that the nonlinear coupled wave equations of five monochromatic waves can be rewritten into the isomorphic Lorenz equation describing the chaos in a uniform flow plasma, and the possibility of Lorenz chaos in the process is predicted