摘要
结合重积分微分方程的稳定性理论,得知重积分微分方程中多复变微分方程的初值解不一定可逆,使用近似矩阵进行渐进逼近,根据自相关函数信息矢量迭代模型,得到当自相关向量的最小互信息量达到渐进稳定,求解双边界条件下的稳定性平衡点,实现全局渐进稳定,在重积分微分方程中对多复变微分方程进行时空分叉问题的分析和初值解的稳定性和收敛性分析,通过数学推导和数值分析,得出重积分微分方程重叠型稳定解存在,且具有收敛性。
Nonlinear partial differential equations such as control theory, design. Combining with the stability theory of inte?gral differential equations, initial value differential that heavy integral equation in several complex variable solution of dif?ferential equations is not necessarily invertible matrix, using the approximate progressive approximation, autocorrelation function according to the information vector iteration model, obtained when the autocorrelation vector minimum mutual in?formation quantity to achieve asymptotic stability, stability of the equilibrium point of solving the two boundary conditions next, the global asymptotic stability, the differential weight integral equations of several complex variable differential equa?tions for analysis of stability and convergence analysis and initial spatiotemporal bifurcation solutions, through mathemati?cal derivation and numerical analysis of effectiveness of experimental method, the repeated integral differential equation overlapping stable solution exists, and it has convergence.
出处
《科技通报》
北大核心
2015年第6期1-3,共3页
Bulletin of Science and Technology
关键词
重积分微分方程
稳定解
非线性动力系统
multipe integral differential equations
stable solution
nonlinear dynamic system
