偶极-偶极相互作用下玻色-爱因斯坦凝聚体中涡旋的非线性动力学研究

基于平均场理论和分裂算符谱算法,研究了偶极-偶极相互作用下玻色爱因斯坦凝聚体中涡旋的非线性动力学.研究发现外势运动速度小于临界值时,偶极-偶极相互作用对系统涡旋的非线性动力学影响较小,而外势运动速度超过临界速度时,偶极-偶极相互作用对涡旋的非线性动力学影响很大,可使系统产生涡旋对、涡旋偶极子和简单涡旋,并使它们形成涡街.     

超混沌Lorenz系统的常数脉冲与自适应脉冲的混合控制

研究了超混沌Lorenz系统的控制问题;基于脉冲控制原理和自适应控制策略,提出了常数脉冲和自适应脉冲相结合的混合控制方法,该方法可以扩大将系统控制到稳定周期轨道的控制参数的范围.数值实验证明了这种混合控制的方法的有效性. 关键词： 超混沌Lorenz系统 常数脉冲控制 自适应脉冲控制     

Non-thermal Hawking radiation from the Kerr black hole

We present a short and direct derivation of Hawking radiation by using the Damour-Ruffini method, as taking into account the self-gravitational interaction from the Kerr black hole. It is found that the radiation is not exactly thermal, and because the derivation obeys conservation laws, the non-thermal Hawking radiation can carry information from the black hole. So it can be used to explain the black hole information paradox, and the process satisfies unitary.     

Effect of Geometric Distance on Agreement Dynamics of Naming Game

We investigate the naming game on geometric networks. The geometric networks are constructed by adding geometric links to two-dimensional regular lattices. It is found that the agreement time is a non-monotonic function of the geometric distance and there exists an optimal value of the geometric distance resulting in the shortest agreement time. All these results show that the geometric distance plays an important role in the evolutionary process of the language game. Our results also show that the convergence time strongly depends on the number of adding links.