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arXiv 1008.0604nlin.CDmath.DSphysics.data-an
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laser液滴生成过程中混沌-混沌转变的实验观察

Experimental observation of a chaos-to-chaos transition in laser droplet generation

Blaz Krese, Matjaz Perc, Edvard Govekar

备注：
13 pages, 8 figures; accepted for publication in International Journal of Bifurcation and Chaos [related work available at http://arxiv.org/abs/1003.0473 and http://www.matjazperc.com/chaos/laser.html]
发表信息：
Int. J. Bifurcat. Chaos 21 (2011) 1689-1699
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摘要：

我们研究了激光液滴产生的动力学依赖于分离脉冲功率。在没有分离脉冲的情况下，由于诱导熔化的初级激光脉冲的影响，在适当进给的金属丝的端部处形成起伏的悬垂液滴。最终，这些液滴由于其质量增加而分离，即克服表面张力。我们表明，这种自发滴是确定性混沌的最大李雅普诺夫指数和负的分歧。然而，在存在分离脉冲的情况下，取决于脉冲功率，液滴的产生被加速。在高功率下，滴落的自发性完全被分离脉冲的冲击所掩盖。与自发滴注类似，振幅混沌也具有正的最大李雅普诺夫指数和负的发散性，表明观测到的动力学过程是确定性混沌的，其相空间解是吸引子.在中间制度，即低和中等剥离脉冲功率，两个混沌状态争夺霸权，产生间歇性的周期加倍振幅混沌过渡，我们通过递归图和它们的属性的特点。总的来说，从自发到触发激光液滴生成的过渡的特征在于由混沌到混沌的过渡与中间动态非稳态相之间。由于金属液滴可用于各种工业应用，我们希望准确确定其形成的动力学性质将有助于其使用，并指导未来的数学建模尝试。

英文摘要：

We examine the dynamics of laser droplet generation in dependence on the detachment pulse power. In the absence of the detachment pulse, undulating pendant droplets are formed at the end of a properly fed metal wire due to the impact of the primary laser pulse that induces melting. Eventually, these droplets detach, i.e. overcome the surface tension, because of their increasing mass. We show that this spontaneous dripping is deterministically chaotic by means of a positive largest Lyapunov exponent and a negative divergence. In the presence of the detachment pulse, however, the generation of droplets is fastened depending on the pulse power. At high powers, the spontaneity of dripping is completely overshadowed by the impact of the detachment pulse. Still, amplitude chaos can be detected, which similarly as the spontaneous dripping, is characterized by a positive largest Lyapunov exponent and a negative divergence, thus indicating that the observed dynamics is deterministically chaotic with an attractor as solution in the phase space. In the intermediate regime, i.e. for low and medium detachment pulse powers, the two chaotic states compete for supremacy, yielding an intermittent period-doubling to amplitude chaos transition, which we characterize by means of recurrence plots and their properties. Altogether, the transition from spontaneous to triggered laser droplet generation is characterized by a chaos-to-chaos transition with an intermediate dynamically nonstationary phase in-between. Since metal droplets can be used in various industrial applications, we hope that the accurate determination of the dynamical properties underlying their formation will facilitate their use and guide future attempts at mathematical modeling.

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