PERIODIC WINDOWS AND CHAOTIC TRANSIENT IN COUPLED MAP LATTICES

A class of special periodic windows in coupled Logistic lattice and its bifurcation behaviors versus the coupling strength are investigated, The system has long chaotic transient and the average transient length increases exponentially with respect to the system size.     

色噪声诱导的激光相变

利用Ｈａｎｇｇｉ近似讨论奇异色噪声诱导的染料激光相变。色噪声的关联时间τ会引起丰富的相变行为。     

SPIN-1 (3-LEVEL) MODEL OF NMR LASER DRIVEN BY AN EXTERNAL SIGNAL

A set of NMR laser equations is presented for a spin-1 model under the assumption that the system is homogeneously broadened and spatially independent. The steady state solutions are obtained and their instabilities are revealed. The results are compared with the spin-1/2 model. Multi-codimensional bifurcation points are found.     

控制信号对控制混沌的作用的实验研究

引入双调谐电路非反馈控制混沌模型.将控制信号加入非线性微分方程的二阶项系数上.实验研究控制信号对控制混沌态的作用:改变控制频率f_k和控制强度I_k,可实现对混沌态的倍周期分频、加周期和准周期控制.研究相位角θ对控制态的作用.观察到呼吸现象并解释其形成的原因.     

非线性非势系统的Fokker-Planck方程的非定态解

本文应用Green函数的Ω展开理论,讨论了弱噪声极限下非线性非势系统的Fokker-Planck方程的非定态解,并讨论了系统从不稳定点出发到稳定态的弛豫过程中的维数约化和标度关系。     

耦合映象晶格中的分岔行为

用解析和数值方法讨论了由满迭代Logistic映象耦合而成的映象晶格的稳定吸引子以及它们的分岔行为.