提出了一类系统的耦合映象格点(CML)模型,和现有的同类模型相比,它具有适宜描述物理分层耦合的功能,从而便于分析主动、从动的耦合系统。空间上,它具有描述物理随机交换机制的功能,它既适宜弱耦合也适。宜于强耦合系统。时间上,它具有描述随机现象机制的功能。我们分析了物理因子如随机耦合、相位、振幅等所起的作用,研究了局部耦合方式和相变形式对于系统性态的影响,计算了刻画系统性态的一些定量指标,并对于系统的湍流态的演化规律进行了分析。
A class of coupled map lattice (CML) models was developed to study evolutional phenomena with interaction between convective and diffusive mechanism in different coupling manners. The models are initiated, based on the analogy between the one dimensional (1D) partial differential equation (PDE) and the 2D one, for the purpose of extension to describe convection and diffusion jointly. Numerical results show that the models manifest abundant spatiotemporal patterns. In addition, the models are feasible to demonstrate physical layered coupling conveniently to he used to analyse initiative and driven coupled system. In spatial behaviors, it ean function to illustrate mechanism of physical stochastic exchange not only for weakly coupled but also for strongly coupled system; in temporal behaviors, it can function to illustrate mechanism of stochastic phenomena. The functions of physical factors such as stochastic coupling, phase and amplitude are analyzed, the effects of local coupling modes and phase transition manners on system's character are studied. Finally, the evolutional laws of coherent structure and turbulent phase of models are discussed.