文献类型：期刊文献

英文题名：Spatiotemporal dynamics in excitable homogeneous random networks composed of periodically self-sustained oscillation

作者：Qian, Yu[1];Liu, Fei[1];Yang, Keli[1];Zhang, Ge[2];Yao, Chenggui[3];Ma, Jun[2,4]

机构：[1]Baoji Univ Arts & Sci, Nonlinear Res Inst, Baoji 721007, Peoples R China;[2]Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Gansu, Peoples R China;[3]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[4]King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, Jeddah 21589, Saudi Arabia

年份：2017

卷号：7

期号：1

外文期刊名：SCIENTIFIC REPORTS

收录：SCI-EXPANDED(收录号：WOS:000411165100062)、、Scopus(收录号：2-s2.0-85029646855)、WOS

基金：This work was supported by the National Natural Science Foundation of China (Grant Nos. 11675001, 11675112, 11647006, 11372122).

语种：英文

外文摘要：The collective behaviors of networks are often dependent on the network connections and bifurcation parameters, also the local kinetics plays an important role in contributing the consensus of coupled oscillators. In this paper, we systematically investigate the influence of network structures and system parameters on the spatiotemporal dynamics in excitable homogeneous random networks (EHRNs) composed of periodically self-sustained oscillation (PSO). By using the dominant phase-advanced driving (DPAD) method, the one-dimensional (1D) Winfree loop is exposed as the oscillation source supporting the PSO, and the accurate wave propagation pathways from the oscillation source to the whole network are uncovered. Then, an order parameter is introduced to quantitatively study the influence of network structures and system parameters on the spatiotemporal dynamics of PSO in EHRNs. Distinct results induced by the network structures and the system parameters are observed. Importantly, the corresponding mechanisms are revealed. PSO influenced by the network structures are induced not only by the change of average path length (APL) of network, but also by the invasion of 1D Winfree loop from the outside linking nodes. Moreover, PSO influenced by the system parameters are determined by the excitation threshold and the minimum 1D Winfree loop. Finally, we confirmed that the excitation threshold and the minimum 1D Winfree loop determined PSO will degenerate as the system size is expanded.