Local Bifurcation of a Thin Rectangle Plate with the Friction Support Boundary

The dynamical equations of a thin rectangle plate subjected to the friction support boundary and its plane force are established in this paper. The local bifurcation of this system is investigated by using L S method and the singularity theory. The Z 2 bifurcation in non degenerate case is discussed. The local bifurcation diagrams of the unfolding parameters and the bifurcation response characters referred to the physical parameters of the system are obtained by numerical simulation. The results of the computer simulation are coincident with the theoretical analysis and experimental results.

Conley的不变集理论的某些应用

介绍了 Conley不变集理论 [1] 在微分方程定性理论研究中的一些应用成果 .

带非线性边界条件的二阶差分方程正解的全局结构

用分歧理论考察二阶离散边值问题{-Δ[p(k-1)Δu(k-1)]+q(k)u(k)=λa(k)f(u(k)),k∈[1,N]_Z,g_1(λ,u(0),Δu(0))=0,g_2(λ,u(N+1),Δu(N))=0正解的全局结构,得到了该问题正解存在的最优充分条件.其中:λ>0是参数;[1,N]Z={1,2,…,N};p:[0,N+1]Z→+,q,a:[1,N]Z→R^+且对k∈[1,N]Z,a(k)>0;g_1∈C(R^+×R^+×R^+,R^+);g_2∈C(R^+×R^+×(-∞,0],R^+);f∈C(R^+,R~^+).

一类复T混沌系统的动力学分析与同步控制

针对一类自治复T自治混沌系统,对系统的平衡点的稳定性进行了分析,并运用Matlab仿真分析系统的序列的p-s平面图、分岔图与双参数变化下的Lyapunov指数等方面的动力学行为,分析表明复T混沌系统对系统参数的敏感性.并设计自适应同步器,运用Lyapunov稳定理论进行理论证明,仿真结果证实了混沌同步控制器的可实现性.