Firstly,Turing instability and global stability of positive constant steady-state solution are obtained by operator spectrum theory and Turing theory.
首先利用算子谱理论及Turing理论得到了正常数平衡解(,)的Turing不稳定性及其一致渐近稳定性。
参考来源 - 一类捕食模型正常数平衡态解的稳定性及分歧This article will discuss the nonlinear instability of the steady-state solution to this reaction-diffusion system.
本文将主要讨论一类趋化系统定态解的稳定性。
参考来源 - 一类反应扩散方程定态解的非线性不稳定性·2,447,543篇论文数据，部分数据来源于NoteExpress
The existence of a steady-state solution is shown by numerical experiments.
计算表明，定常解是确实存在的。
Taking the fluid velocity as changing parameter, the stability of steady-state solution near the equilibrium points is analyzed by using Theory of Stability.
以流体流速作为变化参数，运用稳定性理论分析了平衡点附近定常解的稳定性问题；
Then two examples are analysed to show its application in the initial valued problems of time-dependent systems and in the steady-state solution of periodically-time-dependent systems.
然后通过两例说明该方法在求解时变系统初值问题及周期时变系统稳态解方面的应用。
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