Dataset on: "Explosive first order transition to synchrony in networked chaotic oscillators"

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star con guration, we demonstrate the existence of a rst order transition towards synchronization of the phases of the networked units. Our ndings constitute the rst prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications Data Structure We provide the times series of N=6 Rössler electronic oscillators for 5-star networks with different dynamic control parameters (compressed file with tag R_55, R_60, R_65, R_70, and R_75), the name of the carpet is related to the resistance RC in the electronic circuit (R_55 is equivalented to Rc = 55KOhmn). We recorded the times series for 202 different coupling strengths between oscillators for each network structure; the first 101 corresponds to the increase of the parameter coupling, and the least corresponds to the decreased intensity. Each one of the 201 corresponding files is labeled as ST_X.dat Explosive First-Order Transition to Synchrony in Networked Chaotic Oscillators. I. Leyva, R. Sevilla-Escoboza, J. M. Buldú, I. Sendiña-Nadal, J. Gómez-Gardeñes, A. Arenas, Y. Moreno, S. Gómez, R. Jaimes-Reátegui, and S. Boccaletti Phys. Rev. Lett. 108, 168702复杂网络中的临界现象，以及系统宏观态下动力学突变转变的涌现，目前是学界备受关注的研究课题。本研究报道了混沌单元网络中爆发性相位同步（explosive phase synchronization）的实验证据。具体而言，通过对混沌单元构成的网络开展大规模模拟，并结合星型构型（star configuration）电子电路实验进行验证，我们证实了网络化单元的相位同步存在一阶相变（first order transition）过程。本研究成果首次在实践中证明了此类同步现象的存在，为其在实际场景中的应用开辟了道路。 数据集结构 我们提供了具有不同动力学控制参数的5星型网络中6个罗斯勒电子振荡器（Rössler electronic oscillators）的时间序列数据（相关压缩包标签为R_55、R_60、R_65、R_70及R_75），该压缩包的命名与电子电路中的电阻RC相关（R_55对应Rc=55千欧）。针对每种网络构型，我们记录了振荡器间202种不同耦合强度（coupling strength）下的时间序列；其中前101组对应耦合参数递增的情况，剩余101组对应耦合强度递减的情况。共计201个对应数据文件均以ST_X.dat格式命名。 相关文献：《网络化混沌振荡器的爆发式一阶同步相变》，作者：I. Leyva、R. Sevilla-Escoboza、J. M. Buldú、I. Sendiña-Nadal、J. Gómez-Gardeñes、A. Arenas、Y. Moreno、S. Gómez、R. Jaimes-Reátegui 及 S. Boccaletti，发表于《物理评论快报》（Phys. Rev. Lett.）108卷，第168702号论文