PMID- 28928389
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20191120
IS  - 2045-2322 (Electronic)
IS  - 2045-2322 (Linking)
VI  - 7
IP  - 1
DP  - 2017 Sep 19
TI  - Spatiotemporal dynamics in excitable homogeneous random networks composed of 
      periodically self-sustained oscillation.
PG  - 11885
LID - 10.1038/s41598-017-12333-3 [doi]
LID - 11885
AB  - 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.
FAU - Qian, Yu
AU  - Qian Y
AD  - Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 
      721007, China. qianyu0272@163.com.
FAU - Liu, Fei
AU  - Liu F
AD  - Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 
      721007, China.
FAU - Yang, Keli
AU  - Yang K
AD  - Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 
      721007, China.
FAU - Zhang, Ge
AU  - Zhang G
AD  - Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China.
FAU - Yao, Chenggui
AU  - Yao C
AD  - Department of Mathematics, Shaoxing University, Shaoxing, 312000, China.
FAU - Ma, Jun
AU  - Ma J
AD  - Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China.
AD  - King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, Jeddah, 21589, Saudi 
      Arabia.
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20170919
PL  - England
TA  - Sci Rep
JT  - Scientific reports
JID - 101563288
PMC - PMC5605731
COIS- The authors declare that they have no competing interests.
EDAT- 2017/09/21 06:00
MHDA- 2017/09/21 06:01
PMCR- 2017/09/19
CRDT- 2017/09/21 06:00
PHST- 2017/06/21 00:00 [received]
PHST- 2017/09/07 00:00 [accepted]
PHST- 2017/09/21 06:00 [entrez]
PHST- 2017/09/21 06:00 [pubmed]
PHST- 2017/09/21 06:01 [medline]
PHST- 2017/09/19 00:00 [pmc-release]
AID - 10.1038/s41598-017-12333-3 [pii]
AID - 12333 [pii]
AID - 10.1038/s41598-017-12333-3 [doi]
PST - epublish
SO  - Sci Rep. 2017 Sep 19;7(1):11885. doi: 10.1038/s41598-017-12333-3.