微分方程的部分Hamilton化与积分

将微分方程部分地表示为Hamilton系统的方程并写成逆变代数形式.用动力学代数建立方程的Poisson积分理论，并举例说明结果的应用. 关键词： 微分方程 部分Hamilton化 逆变代数形式 Poisson积分理论     

Role of Stone–Wales defects on the functionalization of (8,0) single wall carbon nanotubes by the amine group: Ab initio study

Using first-principle calculations, we have investigated the chemical functionalization of (8,0) zigzag single wall carbon nanotubes (SWNTs) by the amine group on Stone–Wales (SW) defects. The binding of NH₂ with the defective (8,0) nanotube was explored and the preferential grafting sites have been identified. On the other hand, the modifications induced by SW defect and functional groups in the structural and electronic properties of (8,0) SWNT have also been investigated. The role of SW defects in the chemical reactivity of carbon nanotubes was well identified.     

Projective synchronization of chaotic fractional-order energy resources demand–supply systems via linear control

A fractional-order energy resources demand–supply system is proposed. A projective synchronization scheme is proposed as an extension on the synchronization scheme of Odibat et al. (2010). The scheme is applied to achieve projective synchronization of the chaotic fractional-order energy resource demand–supply systems. Numerical simulations are performed to verify the effectiveness of the proposed synchronization scheme.     

一类基于混沌映射构造Hash函数方法的碰撞缺陷

混沌动力学系统在一定的参数范围内出现混沌运动，且它所产生的混沌序列具有良好的伪随机特性.以混沌映射为基础，已有文献提出了一些构造单向散列函数的方法.对这些方法进行分析，证明它们均存在碰撞缺陷，并总结了采用混沌映射构造单向散列函数时应注意的问题. 关键词： 混沌 单向散列函数 碰撞