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本文首先研究了时空调制对可激发介质中周期螺旋波波头动力学行为的影响.随着时空调制的增大,螺旋波经历了周期螺旋波、外滚螺旋波、旅行螺旋波和内滚螺旋波的显著变化.通过定义序参量来定量的描述由时空调制引起的螺旋波在不同态之间非平衡跃迁的临界条件,及漫游螺旋波波头圆滚圆半径随调制参数的变化情况.当时空调制增大到某个临界值时,螺旋波发生了破碎;再增加时空调制,螺旋波则发生了衰减,系统最终演化为空间均匀静息态.在文中给出了螺旋波发生破碎和衰减的机理和原因.最后将时空调制方法运用于漫游螺旋波,实现了将漫游螺旋波控制成周期螺旋波,或将其控制为空间均匀静息态.
In this paper, firstly, the effect of space-time modulation on the dynamic behavior of periodic spiral wave tip in excitable medium is studied. With the increase of space-time modulation, the spiral wave undergoes periodic spiral wave, outer spiral wave, traveling spiral wave and inner rolling spiral wave The critical conditions for the non-equilibrium transition of helicoidal waves caused by space-time modulation and the variation of the radius of the circular spiral circle of the roving spiral wave with the modulation parameters are described quantitatively by defining the order parameters.When the air-conditioning system is increased to At some critical value, the spiral wave is broken, and then the space-time modulation is added, and the spiral wave decays, and the system finally evolves into a uniform resting state.In this paper, the mechanism and cause of the spiral wave breaking and decay are given. Finally, the space-time modulation method is applied to the rover spiral wave, which realizes the control of the spiral wave of the rover into the periodic spiral wave, or controls the uniform resting state in space.