核反应扩散体系的非线性效应

NONLINEAR EFFECT IN NUCLEAR REACTION DIFFUSION SYSTEMS

本文应用分岔理论研究反应扩散体系的非线性效应，对氦核反应，发现当对流效应超过某一临界植Ｄπ￣２时，存在超临界寻常分岔，并求出了分岔的数学表达式。随着参数｜Ｂ｜的增加，新的分岔可能出现，可得到树枝分岔图，因此可期望出现混沌。

In this paper,we use bifurcation theory in dealing with the partial differential equa-tion for helium reaction diffusion system. The result shows that there is a supercritical ordi-nary bifurcation when the condition |B|>Dπ￣2 is satisfied and the explicit expression of bifurca-tion solution is obtained.As one follows the bifurcated solutions for increasing parameter|B|,new bifurcations may be found. A sketch of a tree of bifurcating solutions may be obtainedand chaco is expected to be occurred.