It is delightful to observe the emergence of synchronization in the blinking of fireflies to attract partners and preys. Other charming examples of synchronization can also be found in a wide range of phenomena such as, e.g., neurons firing, lasers cascades, chemical reactions, and opinion formation. However, in many situations the formation of a coherent state is not pleasant and should be mitigated. For example, the onset of synchronization can be the root of epileptic seizures, traffic congestion in communication networks, and the collapse of constructions. Here we propose the use of contrarians to suppress undesired synchronization. We perform a comparative study of different strategies, either requiring local or total knowledge of the system, and show that the most efficient one solely requires local information. Our results also reveal that, even when the distribution of neighboring interactions is narrow, significant improvement in mitigation is observed when contrarians sit at the highly connected elements. The same qualitative results are obtained for artificially generated networks as well as two real ones, namely, the Routers of the Internet and a neuronal network.
Optimal synchronization of Kuramoto oscillators: a dimensional reduction approach
最近提出的降维方法研究同步在仓本模型中建立最佳的网络拓扑结构，以促进或抑制同步。该方法的基础是在一个集体坐标的锁相振荡器的时间演化的介绍，在的精神，安东森anquiry。我们证明了仓本网络的最优同步要求二次函数$ω^T L ω$的最大化，其中$ω$代表振荡器的固有频率的向量，和$L$网络的拉普拉斯矩阵。许多最近得到的数值结果可以重新获得解析和更简单的方式从我们的最大化条件。提出了一种计算效率高的{爬山}重布线算法来生成具有最佳同步特性的网络。我们的方法可以很容易地适应的情况下，仓本模型的吸引力和排斥力的相互作用，并再次许多最近的数值结果可以重新推导在一个更简单，更清晰的分析方式。
Explosive, continuous and frustrated synchronization transition in spiking Hodgkin-Huxley neuronal networks: the role of topology and synaptic interaction
Topology-Biased Resource Constraints Shape Synchronization Pathways in Hindmarsh-Rose Oscillator Networks
School of Computer and Information Management, Inner Mongolia University of Finance and Economics（内蒙古财经大学计算机与信息管理学院）；School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics（内蒙古财经大学统计与数学学院）
Energy-dynamics interplay in temporal networks triggers explosive synchronization
University of Dschang（杜尚大学）；MoCLiS Research Group（MoCLiS研究组）；University of Technology Sydney（悉尼科技大学）；Digital University Kerala（喀拉拉数字大学）；ICTP South American Institute for Fundamental Research, São Paulo State University (UNESP)（圣保罗州立大学（UNESP）基础科学研究南美洲研究所）；IMT School for Advanced Studies Lucca（卢卡高等研究院）
