耦合空间扩展动力系统阵列中的束缚脉冲串
Bound pulse trains in arrays of coupled spatially extended dynamical systems
摘要：
我们研究了一个最近邻耦合的空间分布系统的阵列的动力学，每个系统产生一个周期性的短脉冲序列。我们证明，不同于一个孤立的系统产生的训练的等距脉冲，这样的系统的阵列可以产生一系列的集群紧密包装的脉冲，与单个脉冲之间的距离取决于耦合相位。由于它们之间的吸引力和排斥力的平衡，与局部耦合脉冲串的形成相关联的这种制度是不同的，从不同的激光，等离子体，化学和生物系统中的脉冲束缚态。我们提出了一个简化的分析描述所观察到的现象，这是在一个很好的协议与直接数值模拟的模型系统描述的耦合锁模激光器阵列的结果。
英文摘要：
We study the dynamics of an array of nearest-neighbor coupled spatially distributed systems each generating a periodic sequence of short pulses. We demonstrate that unlike a solitary system generating a train of equidistant pulses, an array of such systems can produce a sequence of clusters of closely packed pulses, with the distance between individual pulses depending on the coupling phase. This regime associated with the formation of locally coupled pulse trains bounded due to a balance of attraction and repulsion between them is different from the pulse bound states reported earlier in different laser, plasma, chemical, and biological systems. We propose a simplified analytical description of the observed phenomenon, which is in a good agreement with the results of direct numerical simulations of a model system describing an array of coupled mode-locked lasers.
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