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For: Baronchelli A, Pastor-Satorras R. Mean-field diffusive dynamics on weighted networks. Phys Rev E Stat Nonlin Soft Matter Phys 2010;82:011111. [PMID: 20866569 DOI: 10.1103/physreve.82.011111] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/22/2009] [Revised: 02/11/2010] [Indexed: 05/29/2023]
Number Cited by Other Article(s)
1
Kundu P, MacLaren NG, Kori H, Masuda N. Mean-field theory for double-well systems on degree-heterogeneous networks. Proc Math Phys Eng Sci 2022. [DOI: 10.1098/rspa.2022.0350] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
2
Feng S, Jin Z. Infectious diseases spreading on a metapopulation network coupled with its second-neighbor network. APPLIED MATHEMATICS AND COMPUTATION 2019;361:87-97. [PMID: 32287503 PMCID: PMC7112355 DOI: 10.1016/j.amc.2019.05.005] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/20/2019] [Revised: 04/19/2019] [Accepted: 05/06/2019] [Indexed: 05/27/2023]
3
Dai M, Zong Y, He J, Sun Y, Shen C, Su W. The trapping problem of the weighted scale-free treelike networks for two kinds of biased walks. CHAOS (WOODBURY, N.Y.) 2018;28:113115. [PMID: 30501217 DOI: 10.1063/1.5045829] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/25/2018] [Accepted: 10/26/2018] [Indexed: 06/09/2023]
4
Arola-Fernández L, Díaz-Guilera A, Arenas A. Synchronization invariance under network structural transformations. Phys Rev E 2018;97:060301. [PMID: 30011485 DOI: 10.1103/physreve.97.060301] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/09/2018] [Indexed: 06/08/2023]
5
Tamura K, Takayasu H, Takayasu M. Diffusion-localization transition caused by nonlinear transport on complex networks. Sci Rep 2018;8:5517. [PMID: 29615701 PMCID: PMC5882644 DOI: 10.1038/s41598-018-23675-x] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2017] [Accepted: 03/13/2018] [Indexed: 11/10/2022]  Open
6
Scaling of average receiving time on weighted polymer networks with some topological properties. Sci Rep 2017;7:2128. [PMID: 28522831 PMCID: PMC5437065 DOI: 10.1038/s41598-017-02036-0] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2017] [Accepted: 04/06/2017] [Indexed: 11/08/2022]  Open
7
Tamura K, Takayasu H, Takayasu M. Extraction of conjugate main-stream structures from a complex network flow. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;91:042815. [PMID: 25974555 DOI: 10.1103/physreve.91.042815] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/13/2015] [Indexed: 06/04/2023]
8
Ferreri L, Bajardi P, Giacobini M, Perazzo S, Venturino E. Interplay of network dynamics and heterogeneity of ties on spreading dynamics. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;90:012812. [PMID: 25122347 DOI: 10.1103/physreve.90.012812] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/10/2013] [Indexed: 05/16/2023]
9
Lin Y, Zhang Z. Mean first-passage time for maximal-entropy random walks in complex networks. Sci Rep 2014;4:5365. [PMID: 24947015 PMCID: PMC4064359 DOI: 10.1038/srep05365] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/14/2014] [Accepted: 05/27/2014] [Indexed: 11/09/2022]  Open
10
Mean field approximation for biased diffusion on Japanese inter-firm trading network. PLoS One 2014;9:e91704. [PMID: 24626149 PMCID: PMC3953512 DOI: 10.1371/journal.pone.0091704] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/04/2013] [Accepted: 02/14/2014] [Indexed: 11/19/2022]  Open
11
Bonaventura M, Nicosia V, Latora V. Characteristic times of biased random walks on complex networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:012803. [PMID: 24580277 DOI: 10.1103/physreve.89.012803] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/2013] [Indexed: 06/03/2023]
12
Baronchelli A, Ferrer-i-Cancho R, Pastor-Satorras R, Chater N, Christiansen MH. Networks in Cognitive Science. Trends Cogn Sci 2013;17:348-60. [PMID: 23726319 DOI: 10.1016/j.tics.2013.04.010] [Citation(s) in RCA: 209] [Impact Index Per Article: 19.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2012] [Revised: 04/16/2013] [Accepted: 04/17/2013] [Indexed: 01/14/2023]
13
Lin Y, Zhang Z. Random walks in weighted networks with a perfect trap: an application of Laplacian spectra. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;87:062140. [PMID: 23848660 DOI: 10.1103/physreve.87.062140] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2013] [Indexed: 06/02/2023]
14
Noise enhances information transfer in hierarchical networks. Sci Rep 2013;3:1223. [PMID: 23390574 PMCID: PMC3565226 DOI: 10.1038/srep01223] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/09/2012] [Accepted: 01/11/2013] [Indexed: 11/21/2022]  Open
15
Zhang Z, Shan T, Chen G. Random walks on weighted networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;87:012112. [PMID: 23410288 DOI: 10.1103/physreve.87.012112] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2012] [Indexed: 06/01/2023]
16
Perra N, Baronchelli A, Mocanu D, Gonçalves B, Pastor-Satorras R, Vespignani A. Random walks and search in time-varying networks. PHYSICAL REVIEW LETTERS 2012;109:238701. [PMID: 23368274 DOI: 10.1103/physrevlett.109.238701] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2012] [Indexed: 06/01/2023]
17
Odor G, Pastor-Satorras R. Slow dynamics and rare-region effects in the contact process on weighted tree networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;86:026117. [PMID: 23005835 DOI: 10.1103/physreve.86.026117] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/07/2012] [Indexed: 06/01/2023]
18
Yang Z, Zhou T. Epidemic spreading in weighted networks: an edge-based mean-field solution. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;85:056106. [PMID: 23004820 DOI: 10.1103/physreve.85.056106] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/2011] [Revised: 04/20/2012] [Indexed: 06/01/2023]
19
Starnini M, Baronchelli A, Barrat A, Pastor-Satorras R. Random walks on temporal networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;85:056115. [PMID: 23004829 DOI: 10.1103/physreve.85.056115] [Citation(s) in RCA: 44] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2012] [Indexed: 06/01/2023]
20
Gleeson JP, Melnik S, Ward JA, Porter MA, Mucha PJ. Accuracy of mean-field theory for dynamics on real-world networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;85:026106. [PMID: 22463278 DOI: 10.1103/physreve.85.026106] [Citation(s) in RCA: 60] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/16/2010] [Revised: 12/19/2011] [Indexed: 05/04/2023]
21
Xuan Q, Du F, Dong H, Yu L, Chen G. Structural control of reaction-diffusion networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011;84:036101. [PMID: 22060450 DOI: 10.1103/physreve.84.036101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2011] [Revised: 07/25/2011] [Indexed: 05/31/2023]
22
Baronchelli A, Castellano C, Pastor-Satorras R. Voter models on weighted networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011;83:066117. [PMID: 21797451 DOI: 10.1103/physreve.83.066117] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/10/2010] [Indexed: 05/27/2023]
23
Tang M, Liu Z, Li B. Influence of zero range process interaction on diffusion. CHAOS (WOODBURY, N.Y.) 2010;20:043135. [PMID: 21198105 DOI: 10.1063/1.3528101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
24
Kwon S, Choi W, Kim Y. Bimolecular chemical reactions on weighted complex networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010;82:021108. [PMID: 20866776 DOI: 10.1103/physreve.82.021108] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/03/2010] [Revised: 06/09/2010] [Indexed: 05/29/2023]
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