arXiv 1609.050142016-09nlin.AOmath.DSnlin.CD

相位相干混沌振子网络的最优相位同步

Optimal phase synchronization in networks of phase-coherent chaotic oscillators

Per Sebastian Skardal, Ricardo Sevilla-Escoboza, Victor Vera-Ávila, Javier Martín Buldú

DOI：: 10.1063/1.4974029

摘要：

研究了一组混沌振子的固有频率与其所处网络的拓扑性质之间的最优相互作用。我们确定了以最有效的方式实现相位同步的条件，即，具有最低可能的耦合强度。具体而言，我们通过数值和实验结果表明，它是可能的定义一个同步对齐功能连接的一组非相同的相位相干混沌振荡器的固有频率与拓扑结构的拉普拉斯矩阵$L$，后者占振荡器之间的相互作用的网络的具体组织。利用经典的Rössler系统证明了相位振荡器的同步对准函数可以推广到相位相干混沌系统。最后，我们进行了一系列的实验与非线性电子电路的理论预测的鲁棒性，尽管固有的噪声和参数失配的电子元件。

英文摘要：

We investigate the existence of an optimal interplay between the natural frequencies of a group chaotic oscillators and the topological properties of the network they are embedded in. We identify the conditions for achieving phase synchronization in the most effective way, i.e., with the lowest possible coupling strength. Specifically, we show by means of numerical and experimental results that it is possible to define a synchrony alignment function linking the natural frequencies of a set of non-identical phase-coherent chaotic oscillators with the topology of the Laplacian matrix $L$, the latter accounting for the specific organization of the network of interactions between oscillators. We use the classical Rössler system to show that the synchrony alignment function obtained for phase oscillators can be extended to phase-coherent chaotic systems. Finally, we carry out a series of experiments with nonlinear electronic circuits to show the robustness of the theoretical predictions despite the intrinsic noise and parameter mismatch of the electronic components.

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摘要：

英文摘要：

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