{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T11:27:49Z","timestamp":1767007669875},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,11,7]],"date-time":"2020-11-07T00:00:00Z","timestamp":1604707200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,11,7]],"date-time":"2020-11-07T00:00:00Z","timestamp":1604707200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s11424-020-9226-5","type":"journal-article","created":{"date-parts":[[2020,11,7]],"date-time":"2020-11-07T07:02:27Z","timestamp":1604732547000},"page":"251-264","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Dynamics of Two-State Public Opinion Propagation On Signed Networks"],"prefix":"10.1007","volume":"34","author":[{"given":"Yue","family":"Gao","sequence":"first","affiliation":[]},{"given":"Ying","family":"Fan","sequence":"additional","affiliation":[]},{"given":"Zengru","family":"Di","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,11,7]]},"reference":[{"issue":"3","key":"9226_CR1","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1080\/13669870050043099","volume":"3","author":"J Toft","year":"2000","unstructured":"Toft J, Denmark: Potential polarization or consensus?, Journal of Risk Research, 2000, 3(3): 227\u2013235.","journal-title":"Journal of Risk Research"},{"key":"9226_CR2","first-page":"99","volume":"39","author":"J Lindh","year":"2019","unstructured":"Lindh J, Fbrega J, and Gonzlez J, La fragilidad de los consensos: Polarizacin ideolgica en el Chile Post Pinochet, Revista Ciencia Poltica, 2019, 39: 99\u2013127.","journal-title":"Revista Ciencia Poltica"},{"key":"9226_CR3","doi-asserted-by":"publisher","first-page":"1028","DOI":"10.15195\/v3.a45","volume":"3","author":"T S Van Gunten","year":"2016","unstructured":"Van Gunten T S, Martin J L, and Teplitskiy M, Consensus, polarization, and alignment in the economics profession, Sociological Science, 2016, 3: 1028\u20131052.","journal-title":"Sociological Science"},{"issue":"6","key":"9226_CR4","doi-asserted-by":"publisher","first-page":"1072","DOI":"10.1109\/JSAC.2013.130609","volume":"31","author":"L Li","year":"2013","unstructured":"Li L, Scaglione A, Swami A, et al., Consensus, polarization and clustering of opinions in social networks, IEEE Journal on Selected Areas in Communications, 2013, 31(6): 1072\u20131083.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"issue":"4","key":"9226_CR5","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1109\/TCSS.2016.2628051","volume":"3","author":"D Lee","year":"2016","unstructured":"Lee D, Chang C, and Liu Y, Consensus and polarization of binary opinions in structurally balanced networks, IEEE Transactions on Computational Social Systems, 2016, 3(4): 141\u2013150.","journal-title":"IEEE Transactions on Computational Social Systems"},{"issue":"1","key":"9226_CR6","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1080\/13873950802431992","volume":"15","author":"J P Zeng","year":"2009","unstructured":"Zeng J P, Zhang S Y, Wu C R, et al., Modelling topic propagation over the Internet, Mathematical and Computer Modelling of Dynamical Systems, 2009, 15(1): 83\u201393.","journal-title":"Mathematical and Computer Modelling of Dynamical Systems"},{"key":"9226_CR7","doi-asserted-by":"crossref","unstructured":"Canning A, Ising spin models of partially connected neural networks, Dissertation from University of Edinburgh, 1988.","DOI":"10.1088\/0305-4470\/21\/15\/016"},{"key":"9226_CR8","unstructured":"Xu Z, Dong W, and Srihari S, Using social dynamics to make individual predictions: Variational inference with a stochastic kinetic model, Proceedings of 29th Conference on Neural Information Processing Systems, Montreal, Canada, 2016."},{"key":"9226_CR9","doi-asserted-by":"publisher","unstructured":"Tang J, Chang Y, Aggarwal C, and Liu H, A survey of signed network mining in social media, ACM Computing Surveys, 2016, Article 42, 37 pages, DOI: https:\/\/doi.org\/10.1145\/2956185.","DOI":"10.1145\/2956185"},{"issue":"1\u20132","key":"9226_CR10","doi-asserted-by":"publisher","first-page":"016104","DOI":"10.1103\/PhysRevE.66.016104","volume":"66","author":"S N Dorogovtsev","year":"2002","unstructured":"Dorogovtsev S N, Goltsev A V, and Mendes J F, Ising model on networks with an arbitrary distribution of connections, Physical Review E, 2002, 66(1\u20132): 016104.","journal-title":"Physical Review E"},{"issue":"6","key":"9226_CR11","doi-asserted-by":"publisher","first-page":"067109","DOI":"10.1103\/PhysRevE.69.067109","volume":"69","author":"C P Herrero","year":"2004","unstructured":"Herrero C P, Ising model in scale-free networks: A Monte Carlo simulation, Physical Review E, 2004, 69(6 Pt 2): 067109.","journal-title":"Physical Review E"},{"issue":"4","key":"9226_CR12","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1142\/S0129183105007352","volume":"16","author":"M A Sumour","year":"2005","unstructured":"Sumour M A and Shabat M M, Monte Carlo simulation of Ising model on directed Barabasi-Albert network, International Journal of Modern Physics C, 2005, 16(4): 585\u2013589.","journal-title":"International Journal of Modern Physics C"},{"issue":"9","key":"9226_CR13","doi-asserted-by":"publisher","first-page":"098701","DOI":"10.1103\/PhysRevLett.95.098701","volume":"95","author":"C V Giuraniuc","year":"2005","unstructured":"Giuraniuc C V, Hatchett J P L, Indekeu J O, et al, Trading interactions for topology in scale-free networks, Physical Review Letters, 2005, 95(9): 098701.","journal-title":"Physical Review Letters"},{"issue":"3","key":"9226_CR14","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1007\/s100510050067","volume":"13","author":"A Barrat","year":"2000","unstructured":"Barrat A and Weight M, On the properties of small-world network models, European Physical Journal B Condensed Matter and Complex Systems, 2000, 13(3): 547\u2013560.","journal-title":"European Physical Journal B Condensed Matter and Complex Systems"},{"issue":"1","key":"9226_CR15","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1209\/epl\/i2003-00490-0","volume":"63","author":"C Castellano","year":"2003","unstructured":"Castellano C, Vilone D, and Vespignani A, Incomplete ordering of the voter model on small-world networks, EPL, 2003, 63(1): 153\u2013158.","journal-title":"EPL"},{"issue":"4","key":"9226_CR16","first-page":"403","volume":"25","author":"S Galam","year":"2002","unstructured":"Galam S, Minority opinion spreading in random geometry, The European Physical Journal B, 2002, 25(4): 403\u2013406.","journal-title":"The European Physical Journal B"},{"key":"9226_CR17","unstructured":"Sznajd-Weron K and Sznajd J, Opinion evolution in closed community, International Journal of Modern Physics C, 2011, arXiv: cond-mat\/0101130."},{"issue":"1\u20134","key":"9226_CR18","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1142\/S0219525900000078","volume":"3","author":"G Deffuant","year":"2000","unstructured":"Deffuant G, Neau D, Amblard F, et al., Mixing beliefs among interacting agents, Advances in Complex Systems, 2000, 3(1\u20134): 87\u201398.","journal-title":"Advances in Complex Systems"},{"issue":"6","key":"9226_CR19","doi-asserted-by":"publisher","first-page":"1473","DOI":"10.1162\/neco.2008.07-06-295","volume":"20","author":"C Parisien","year":"2008","unstructured":"Parisien C, Anderson C H, and Eliasmith C, Solving the problem of negative synaptic weights in cortical models, Neural Computation, 2008, 20(6): 1473\u20131494.","journal-title":"Neural Computation"},{"issue":"2","key":"9226_CR20","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1080\/07388940490463861","volume":"21","author":"F Ghosn","year":"2004","unstructured":"Ghosn F, Palmer G, and Bremer S A, The MID3 data set, 1993\u20132001: Procedures, coding rules, and description, Conflict Management and Peace Ence, 2004, 21(2): 133\u2013154.","journal-title":"Conflict Management and Peace Ence"},{"key":"9226_CR21","volume-title":"Advances in Computing and Data Sciences","author":"N Girdhar","year":"2016","unstructured":"Girdhar N and Bharadwaj K K, Signed social networks: A survey, Advances in Computing and Data Sciences, Springer, Singapore, 2016."},{"key":"9226_CR22","doi-asserted-by":"crossref","unstructured":"Leskovec J, Huttenlocher D, and Kleinberg J, Signed networks in social media, Proceedings of the SIGCHI Conference on Human Factors in Computing Systems, New York, USA, 2010, 1361\u20131370.","DOI":"10.1145\/1753326.1753532"},{"issue":"8","key":"9226_CR23","doi-asserted-by":"publisher","first-page":"08003","DOI":"10.1088\/1742-5468\/2012\/08\/P08003","volume":"2012","author":"P Y Fan","year":"2012","unstructured":"Fan P Y, Wang H, Li P, et al., Analysis of opinion spreading in homogeneous networks with signed relationships, Journal of Statistical Mechanics Theory and Experiment, 2012, 2012(8): 08003.","journal-title":"Journal of Statistical Mechanics Theory and Experiment"},{"issue":"12","key":"9226_CR24","doi-asserted-by":"publisher","first-page":"50084","DOI":"10.1142\/S021798491350084X","volume":"27","author":"W Li","year":"2013","unstructured":"Li W, Fan P Y, Li P, et al., An opinion spreading model in signed networks, Modern Physics Letters B, 2013, 27(12): 50084.","journal-title":"Modern Physics Letters B"},{"key":"9226_CR25","doi-asserted-by":"publisher","first-page":"022314","DOI":"10.1103\/PhysRevE.95.022314","volume":"95","author":"M Saeedian","year":"2017","unstructured":"Saeedian M, Azimi-Tafreshi N, Jafari G R, et al., Epidemic spreading on evolving signed networks, Physical Review E, 2017, 95: 022314.","journal-title":"Physical Review E"},{"key":"9226_CR26","doi-asserted-by":"crossref","unstructured":"Li W, Ma Y H, and Xue R R, The application of signed networks in the Moon-Cake opinion network, International Conference on Industrial Engineering and Information Technology, Tianjin, China, 2014.","DOI":"10.2991\/978-94-6239-145-1_32"},{"key":"9226_CR27","doi-asserted-by":"crossref","unstructured":"Li L B, Fan Y, Zeng A, et al., Binary opinion dynamics on signed networks based on Ising model, Physica A: Statistical Mechanics and Its Applications, 2019, 433\u2013442.","DOI":"10.1016\/j.physa.2019.03.011"},{"issue":"6","key":"9226_CR28","doi-asserted-by":"publisher","first-page":"1524","DOI":"10.1109\/TAC.2015.2471655","volume":"61","author":"A V Proskurnikov","year":"2016","unstructured":"Proskurnikov A V, Matveev A S, and Cao M, Opinion dynamics in social networks with hostile camps: Consensus vs. polarization, IEEE Transactions on Automatic Control, 2016, 61(6): 1524\u20131536.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"9226_CR29","doi-asserted-by":"crossref","unstructured":"Proskurnikov A V and Cao M, Polarization in coopetitive networks of heterogeneous nonlinear agents, IEEE 55th Conference on Decision and Control, Las Vegas, NV, 2016.","DOI":"10.1109\/CDC.2016.7799334"},{"issue":"5","key":"9226_CR30","doi-asserted-by":"publisher","first-page":"1193","DOI":"10.1086\/227378","volume":"86","author":"H Tajfel","year":"1981","unstructured":"Tajfel H, Differentiation between social groups: Studies in the social psychology of intergroup relations, American Journal of Sociology, 1981, 86(5): 1193\u20131194.","journal-title":"American Journal of Sociology"},{"issue":"3","key":"9226_CR31","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1111\/j.2044-8309.1986.tb00732.x","volume":"25","author":"J C Turner","year":"2011","unstructured":"Turner J C and Oaks P J, The significance of the social identity concept for social psychology with reference to individualism, interactionism, and social influence, The British Journal of Social Psychology, 2011, 25(3): 237\u2013252.","journal-title":"The British Journal of Social Psychology"},{"key":"9226_CR32","volume-title":"Social Psychology: Handbook of Basic Principles","author":"M B Brewer","year":"2007","unstructured":"Brewer M B, The social psychology of intergroup relations: Social categorization, ingroup bias, and outgroup prejudice, Social Psychology: Handbook of Basic Principles, The Guilford Press, New York, NY, US, 2007."},{"issue":"4","key":"9226_CR33","doi-asserted-by":"publisher","first-page":"632","DOI":"10.1037\/0022-3514.57.4.632","volume":"57","author":"P E Tetlock","year":"1989","unstructured":"Tetlock P E, Skitka L, and Boettger R, Social and cognitive strategies for coping with accountability: Conformity, complexity, and bolstering, Journal of Personality and Social Psychology, 1989, 57(4): 632\u2013640.","journal-title":"Journal of Personality and Social Psychology"},{"key":"9226_CR34","first-page":"151","volume-title":"The Handbook of Social Psychology","author":"R B Cialdini","year":"1998","unstructured":"Cialdini R B and Trost M R, Social influence: Social norms, conformity and compliance, The Handbook of Social Psychology, McGraw-Hill, New York, NY, US, 1998, 151\u2013192."},{"key":"9226_CR35","first-page":"187","volume-title":"Social Comparison Processes: Theoretical and Empirical Perspectives","author":"V L Allen","year":"1977","unstructured":"Allen V L and Wilder D A, Social comparison, self-evaluation, and conformity to the group, Social Comparison Processes: Theoretical and Empirical Perspectives, Hemisphere, Washington, DC, 1977, 187\u2013208."},{"issue":"1","key":"9226_CR36","doi-asserted-by":"publisher","first-page":"591","DOI":"10.1146\/annurev.psych.55.090902.142015","volume":"55","author":"R B Cialdini","year":"2004","unstructured":"Cialdini R B and Goldstein N J, Social influence: compliance and conformity, Annual Review of Psychology, 2004, 55(1): 591\u2013621.","journal-title":"Annual Review of Psychology"},{"issue":"10","key":"9226_CR37","doi-asserted-by":"publisher","first-page":"1333","DOI":"10.1109\/TKDE.2007.1061","volume":"19","author":"B Yang","year":"2007","unstructured":"Yang B, Cheung W K, and Liu J, Community mining from signed social networks, IEEE Transactions on Knowledge and Data Engineering, 2007, 19(10): 1333\u20131348.","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"key":"9226_CR38","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1016\/j.physa.2018.05.139","volume":"508","author":"J L Zhou","year":"2018","unstructured":"Zhou J L, Li L B, and Zeng A, Random walk on signed networks, Physica A: Statistical Mechanics and Its Applications, 2018, 508: 558\u2013566.","journal-title":"Physica A: Statistical Mechanics and Its Applications"},{"issue":"1","key":"9226_CR39","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1080\/00223980.1946.9917275","volume":"21","author":"F Heider","year":"1946","unstructured":"Heider F, Attitudes and cognitive organization, Journal of Psychology, 1946, 21(1): 107\u2013112.","journal-title":"Journal of Psychology"},{"issue":"2","key":"9226_CR40","doi-asserted-by":"publisher","first-page":"036115","DOI":"10.1103\/PhysRevE.80.036115","volume":"80","author":"V A Traag","year":"2009","unstructured":"Traag V A and Bruggeman J, Community detection in networks with positive and negative links, Physical Review E, 2009, 80(2): 036115.","journal-title":"Physical Review E"},{"issue":"52","key":"9226_CR41","doi-asserted-by":"publisher","first-page":"20953","DOI":"10.1073\/pnas.1109521108","volume":"108","author":"G Facchetti","year":"2011","unstructured":"Facchetti G, Iacono G, and Altafini C, Computing global structural balance in large-scale signed social networks, PNAS, 2011, 108(52): 20953\u201320958.","journal-title":"PNAS"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-020-9226-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-020-9226-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-020-9226-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,4]],"date-time":"2021-02-04T02:25:25Z","timestamp":1612405525000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-020-9226-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,7]]},"references-count":41,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["9226"],"URL":"https:\/\/doi.org\/10.1007\/s11424-020-9226-5","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,7]]},"assertion":[{"value":"1 August 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 April 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}