局部不均匀性对时空系统振荡频率的影响  

Oscillatory frequencies in spatiotemporal system with local inhomogeneity

作　　者：高继华[1] 史文茂 汤艳丰 肖骐[1] 杨海涛[1] 

机构地区：[1]深圳大学材料学院,深圳市特种功能材料重点实验室,深圳518060

出　　处：《物理学报》2016年第15期22-27,共6页Acta Physica Sinica

基　　金：深圳市基础研究项目(批准号:JCYJ 2014 0418 1819 58489)资助的课题~~

摘　　要：以复金兹堡一朗道方程为模型,利用数值实验方法观察了时空系统中螺旋波斑图的演化行为,发现在局域非均匀参数条件下,系统的螺旋波可以受到该杂质区域的影响而演化成为稳定的靶波.研究表明,内传的螺旋波转换为稳定靶波的必要条件是非杂质系统和杂质系统的振荡频率相等且小于系统的固有频率,并在参数一频率空间形成一个特殊的V形区域,进一步分析表明,该V形区域具有左右对称、两侧靶波传播方向相反以及随杂质区域参数α_2的增大而向参数β_2减小方向平移等性质.Target waves usually emit concentric circular waves,whereas spiral waves rotate around a central core（topological defect） region,the two forms of waves are closely related due to the similarity of their spatial structures.Spiral waves can be generated spontaneously in a homogeneous system,while target waves usually cannot be self-sustained in the same system.Therefore,spiral waves can be found in diverse natural systems,and target waves can be produced from the spirals with special boundary configurations or central pacemakers.The pacemaker of target wave is an oscillatory source or medium inhomogeneity.To model the inhomogeneity in some realistic situations,we introduce local parameter shifts and simulate the transition from spiral waves to target waves.In this research,the evolution of the spiral waves in the complex Ginzburg-Landau equation is investigated by numerical simulations,and the multi-spiral patterns can be transformed into stable target waves with local inhomogeneous parameter shifts in a two-dimensional（2D） spatiotemporal system.The detailed study shows that the initial multi-spiral waves can be influenced by introducing inhomogeneity in the local area of the system space,and the oscillatory frequency of the system plays an important role in changing the pattern.A successful transition from inwardly propagating spirals to target waves can be observed when the oscillatory frequencies of non-controlled and local inhomogeneous region,which have equal values,are both less than the inherent frequency of system.When we inspect the relationship between oscillatory frequencies and the characteristics of the inhomogeneous region,an intriguing V-shaped line is found in parameter-frequency diagram,and the V-shaped area presents three features.Firstly,the left and right sides of the V-shaped area are symmetrical.Secondly,the propagating directions of target waves from the left and right sides are opposite.An inwardly propagating target wave is formed on the left side of the V-shaped area,and an outward

关 键 词：复金兹堡-朗道方程 螺旋波 靶波 

分 类 号：O415[理学—理论物理]