螺旋波动力学及其控制

DYNAMICS OF SPIRAL WAVES AND THEIR CONTROL

螺旋波是时空斑图结构演化的一个典型研究对象,无论从理论研究意义还是从应用价值来看都是非常重要的,它可涉及到的领域包括:数学、物理、力学、天文、化学、生物、医学等学科．本文较为详细地讨论了螺旋波的动力学行为,主要包含以下几方面:螺旋波的形成、螺旋波的几种常见的形式、螺旋波波头的运动、螺旋波失稳方式等．由于螺旋波及其破碎后的行为在许多具体的系统中的有害作用,本文也介绍了螺旋波的几种控制方案:反馈控制方案、外力控制方案、调整参数控制方案等．

Spiral wave is a classical example of spatiotemporal pattern, and is important both theoretically and in practice. It concerns various fields, such as mathematics, physics, mechanics, astronomy, chemistry, biology, medicine. In this paper, dynamical behaviors of spiral waves are discussed, which include the formation of spiral wave, common forms of spiral wave, the motion of the tip and the breakup of spiral wave. Spiral wave and spatiotemporal chaos are harmful in some actual systems, so their controls are necessary. The control of spiral wave can be realized by feedback signals and external forces, and by the adjustment of parameters.