Hart Joseph D, Schmadel Don C, Murphy Thomas E, Roy Rajarshi
Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA.
Chaos. 2017 Dec;27(12):121103. doi: 10.1063/1.5016047.
We report a new experimental approach using an optoelectronic feedback loop to investigate the dynamics of oscillators coupled on large complex networks with arbitrary topology. Our implementation is based on a single optoelectronic feedback loop with time delays. We use the space-time interpretation of systems with time delay to create large networks of coupled maps. Others have performed similar experiments using high-pass filters to implement the coupling; this restricts the network topology to the coupling of only a few nearest neighbors. In our experiment, the time delays and coupling are implemented on a field-programmable gate array, allowing the creation of networks with arbitrary coupling topology. This system has many advantages: the network nodes are truly identical, the network is easily reconfigurable, and the network dynamics occur at high speeds. We use this system to study cluster synchronization and chimera states in both small and large networks of different topologies.
我们报告了一种新的实验方法，该方法使用光电反馈回路来研究耦合在具有任意拓扑结构的大型复杂网络上的振荡器的动力学。我们的实现基于具有时间延迟的单个光电反馈回路。我们利用具有时间延迟的系统的时空解释来创建耦合映射的大型网络。其他人使用高通滤波器来实现耦合进行了类似的实验；这将网络拓扑限制为仅少数最近邻的耦合。在我们的实验中，时间延迟和耦合是在现场可编程门阵列上实现的，从而允许创建具有任意耦合拓扑的网络。该系统具有许多优点：网络节点完全相同，网络易于重新配置，并且网络动力学以高速发生。我们使用该系统来研究不同拓扑结构的小型和大型网络中的簇同步和奇异态。
