Oscillatory kinetics coupled to diffusion can produce traveling waves as observed in physical, chemical, and biological systems. We show experimentally that the properties of such waves can be controlled by fluid stretching and compression in a hyperbolic flow. Localized packet waves consisting in a train of parallel waves can develop due to a balance between diffusive broadening and advective compression along the unstable manifold. At a given distance from the stagnation point, the parallel waves transform into planelike waves and smeared waves where the transverse parabolic flow profile disturbs the patterns in the gap width. Once a wave packet has been obtained, it imprints a privileged direction that is maintained even if the compression rate is decreased. The width of the wave packet then scales inversely with the compression rate.

中文翻译：

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通过流体拉伸和压缩来控制化学波。


与扩散耦合的振荡动力学可以产生在物理、化学和生物系统中观察到的行波。我们通过实验表明，这种波的特性可以通过双曲线流中的流体拉伸和压缩来控制。由于沿不稳定流形的扩散展宽和平流压缩之间的平衡，可以形成由一系列平行波组成的局部包波。在距停滞点的给定距离处，平行波转变为平面波和涂抹波，其中横向抛物线流剖面扰乱了间隙宽度中的模式。一旦获得波数据包，它就会印记一个特权方向，即使压缩率降低，该方向也会保持不变。然后，波包的宽度与压缩率成反比。