{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T08:30:41Z","timestamp":1762504241848,"version":"3.37.3"},"reference-count":27,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61503420"],"award-info":[{"award-number":["61503420"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61473060"],"award-info":[{"award-number":["61473060"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"China Electric Power Research Institute Innovation Fund Project","award":["XT83-17-002"],"award-info":[{"award-number":["XT83-17-002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,6,30]]},"abstract":"<jats:p> Much research attention has been devoted to the investigation of how the structure of a network affects its intended performance. However, conclusions drawn from the previous studies are often inconsistent and even contradictory. In order to identify the causes of these diverse results and to explore the impact of network topology on performance, we apply the concept of bifurcation in dynamical systems and consider the effect of varying a crucial parameter for networks of different structures. In this paper, we study transmission networks and identify the capacity setting as the parameter. Upon varying this parameter, the behavioral change of the network is observed. Specifically, we focus on communication networks and power grids, and study the improvement or degradation of robustness of such networks under variation of link capacity. We observe that the effect of increasing link capacity on robustness differs for different networks, and a bifurcation point exists in some cases which divides regions of opposite robustness behavior. Our work demonstrates that capacity settings play a crucially important role in determining how network structure affects the intended performance of transmission networks, and clarifies the previous reported contradictory results. <\/jats:p>","DOI":"10.1142\/s0218127418500931","type":"journal-article","created":{"date-parts":[[2018,7,17]],"date-time":"2018-07-17T04:26:51Z","timestamp":1531801611000},"page":"1850093","source":"Crossref","is-referenced-by-count":5,"title":["Bifurcation in Transmission Networks Under Variation of Link Capacity"],"prefix":"10.1142","volume":"28","author":[{"given":"Jiajing","family":"Wu","sequence":"first","affiliation":[{"name":"School of Data and Computer Science, Sun Yat-sen University, Guangzhou 510006, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7331-3292","authenticated-orcid":false,"given":"Xi","family":"Zhang","sequence":"additional","affiliation":[{"name":"China Electric Power Research Institute, Beijing 100192, P. R. China"}]},{"given":"Shicong","family":"Ma","sequence":"additional","affiliation":[{"name":"China Electric Power Research Institute, Beijing 100192, P. R. China"}]},{"given":"Zhihai","family":"Rong","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, P. R. China"}]},{"given":"Chi K.","family":"Tse","sequence":"additional","affiliation":[{"name":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2018,7,17]]},"reference":[{"key":"S0218127418500931BIB001","doi-asserted-by":"publisher","DOI":"10.1038\/35019019"},{"volume-title":"Network Science","year":"2016","author":"Barab\u00e1si A. L.","key":"S0218127418500931BIB002"},{"key":"S0218127418500931BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2005.10.009"},{"key":"S0218127418500931BIB004","doi-asserted-by":"publisher","DOI":"10.1126\/science.1185231"},{"key":"S0218127418500931BIB005","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2017.2705758"},{"key":"S0218127418500931BIB007","first-page":"17","volume":"5","author":"Erd\u00f6s P.","year":"1960","journal-title":"Publ. Math. Inst. Hung. Acad. Sci."},{"key":"S0218127418500931BIB008","doi-asserted-by":"publisher","DOI":"10.1038\/nature16948"},{"key":"S0218127418500931BIB009","doi-asserted-by":"publisher","DOI":"10.1126\/science.aal4122"},{"key":"S0218127418500931BIB010","doi-asserted-by":"publisher","DOI":"10.1038\/nature02115"},{"key":"S0218127418500931BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-16211-4"},{"key":"S0218127418500931BIB012","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.66.065102"},{"key":"S0218127418500931BIB013","doi-asserted-by":"publisher","DOI":"10.1137\/S003614450342480"},{"key":"S0218127418500931BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2013.01.023"},{"key":"S0218127418500931BIB015","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0087986"},{"key":"S0218127418500931BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2018.2822049"},{"key":"S0218127418500931BIB017","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.89.012801"},{"key":"S0218127418500931BIB018","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1009440108"},{"key":"S0218127418500931BIB019","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms10790"},{"key":"S0218127418500931BIB020","doi-asserted-by":"publisher","DOI":"10.1038\/35065725"},{"key":"S0218127418500931BIB021","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407018452"},{"key":"S0218127418500931BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.jempfin.2010.04.008"},{"key":"S0218127418500931BIB024","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402004802"},{"key":"S0218127418500931BIB025","doi-asserted-by":"publisher","DOI":"10.1038\/30918"},{"key":"S0218127418500931BIB027","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2016.2598086"},{"key":"S0218127418500931BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2017.11.016"},{"key":"S0218127418500931BIB029","doi-asserted-by":"publisher","DOI":"10.1109\/JETCAS.2015.2462152"},{"key":"S0218127418500931BIB030","doi-asserted-by":"publisher","DOI":"10.1109\/JETCAS.2017.2698163"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127418500931","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,23]],"date-time":"2019-09-23T17:38:18Z","timestamp":1569260298000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127418500931"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,30]]},"references-count":27,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2018,7,17]]},"published-print":{"date-parts":[[2018,6,30]]}},"alternative-id":["10.1142\/S0218127418500931"],"URL":"https:\/\/doi.org\/10.1142\/s0218127418500931","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2018,6,30]]}}}