{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T09:05:16Z","timestamp":1771923916124,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2017,6,26]],"date-time":"2017-06-26T00:00:00Z","timestamp":1498435200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Fuzzy Syst."],"published-print":{"date-parts":[[2017,12]]},"DOI":"10.1007\/s40815-017-0346-6","type":"journal-article","created":{"date-parts":[[2017,6,26]],"date-time":"2017-06-26T10:49:32Z","timestamp":1498474172000},"page":"1670-1682","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Nonlinear Behavior in Romeo and Juliet\u2019s Love Model Influenced by External Force with Fuzzy Membership Function"],"prefix":"10.1007","volume":"19","author":[{"given":"Linyun","family":"Huang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Youngchul","family":"Bae","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,6,26]]},"reference":[{"issue":"2","key":"346_CR1","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1007\/s40815-015-0030-7","volume":"17","author":"C Wang","year":"2015","unstructured":"Wang, C., Chen, C.: Intelligent chaos synchronization of fractional order systems via mean-based slide mode controller. Int. J. Fuzzy Syst. 17(2), 144\u2013157 (2015). doi:\n                        10.1007\/s40815-015-0030-7","journal-title":"Int. J. Fuzzy Syst."},{"issue":"4","key":"346_CR2","doi-asserted-by":"publisher","first-page":"291","DOI":"10.5391\/IJFIS.2013.13.4.291","volume":"13","author":"Y Bae","year":"2013","unstructured":"Bae, Y.: Chaotic phenomena in addiction model for digital leisure. Int. J. Fuzzy Log. Intell. Syst. 13(4), 291\u2013297 (2013). doi:\n                        10.5391\/IJFIS.2013.13.4.291","journal-title":"Int. J. Fuzzy Log. Intell. Syst."},{"issue":"3","key":"346_CR3","doi-asserted-by":"publisher","first-page":"245","DOI":"10.5391\/JKIIS.2014.24.3.245","volume":"24","author":"M Kim","year":"2014","unstructured":"Kim, M., Bae, Y.: Mathematical modeling and chaotic behavior analysis of cyber addiction. J. Korean Inst. Intell. Syst. 24(3), 245\u2013250 (2014). doi:\n                        10.5391\/JKIIS.2014.24.3.245","journal-title":"J. Korean Inst. Intell. Syst."},{"issue":"4","key":"346_CR4","doi-asserted-by":"publisher","first-page":"322","DOI":"10.5391\/IJFIS.2014.14.4.322","volume":"14","author":"Y Bae","year":"2014","unstructured":"Bae, Y.: Chaotic dynamics in tobacco\u2019s addiction model. Int. J. Fuzzy Log. Intell. Syst. 14(4), 322\u2013331 (2014). doi:\n                        10.5391\/IJFIS.2014.14.4.322","journal-title":"Int. J. Fuzzy Log. Intell. Syst."},{"issue":"6","key":"346_CR5","doi-asserted-by":"publisher","first-page":"615","DOI":"10.5391\/JKIIS.2014.24.6.615","volume":"24","author":"Y Bae","year":"2014","unstructured":"Bae, Y.: Mathematical modeling and behavior analysis of addiction of physical exercise. J. Korean Inst. Intell. Syst. 24(6), 615\u2013621 (2014). doi:\n                        10.5391\/JKIIS.2014.24.6.615","journal-title":"J. Korean Inst. Intell. Syst."},{"issue":"1","key":"346_CR6","first-page":"23","volume":"9","author":"JC Sprott","year":"2005","unstructured":"Sprott, J.C.: Dynamical models of happiness. Nonlinear Dyn. Psychol. Life Sci. 9(1), 23\u201334 (2005)","journal-title":"Nonlinear Dyn. Psychol. Life Sci."},{"key":"346_CR7","volume-title":"Dynamics of Love and Happiness","author":"JC Sprott","year":"2001","unstructured":"Sprott, J.C.: Dynamics of Love and Happiness. Chaos and Complex Systems Seminar, Madison (2001)"},{"issue":"6","key":"346_CR8","doi-asserted-by":"publisher","first-page":"711","DOI":"10.13067\/JKIECS.2014.9.6.711","volume":"9","author":"S Kim","year":"2013","unstructured":"Kim, S., Choi, S., Bae, Y., Park, Y.: Mathematical modeling of happiness and its nonlinear analysis. J. Korea Inst. Electr. Commun. Sci. 9(6), 711\u2013717 (2013). doi:\n                        10.13067\/JKIECS.2014.9.6.711","journal-title":"J. Korea Inst. Electr. Commun. Sci."},{"issue":"2","key":"346_CR9","doi-asserted-by":"publisher","first-page":"91","DOI":"10.5391\/IJFIS.2014.14.2.91","volume":"14","author":"Y Bae","year":"2014","unstructured":"Bae, Y.: Synchronization of dynamical happiness model. Int. J. Fuzzy Log. Intell. Syst. 14(2), 91\u201397 (2014). doi:\n                        10.5391\/IJFIS.2014.14.2.91","journal-title":"Int. J. Fuzzy Log. Intell. Syst."},{"issue":"4","key":"346_CR10","doi-asserted-by":"publisher","first-page":"313","DOI":"10.5391\/JKIIS.2015.25.4.313","volume":"25","author":"LY Huang","year":"2015","unstructured":"Huang, L.Y., Bae, Y.: Analysis of nonlinear dynamics in family model. J. Korean Inst. Intell. Syst. 25(4), 313\u2013318 (2015). doi:\n                        10.5391\/JKIIS.2015.25.4.313","journal-title":"J. Korean Inst. Intell. Syst."},{"issue":"1","key":"346_CR11","doi-asserted-by":"publisher","first-page":"37","DOI":"10.5391\/JKIIS.2016.26.1.037","volume":"26","author":"LY Huang","year":"2016","unstructured":"Huang, L.Y., Bae, Y.: Analysis of nonlinear dynamics in family model including parent-in law. J. Korean Inst. Intell. Syst. 26(1), 37\u201343 (2016). doi:\n                        10.5391\/JKIIS.2016.26.1.037","journal-title":"J. Korean Inst. Intell. Syst."},{"key":"346_CR12","doi-asserted-by":"publisher","first-page":"35","DOI":"10.2307\/2690328","volume":"61","author":"SH Strogatz","year":"1988","unstructured":"Strogatz, S.H.: Love affairs and differential equations. Math. Mag. 61, 35 (1988). doi:\n                        10.2307\/2690328","journal-title":"Math. Mag."},{"key":"346_CR13","volume-title":"Nonlinear Dynamics and Chaos: With Application to Physics, Biology, Chemistry and Engineering","author":"SH Strogatz","year":"1994","unstructured":"Strogatz, S.H.: Nonlinear Dynamics and Chaos: With Application to Physics, Biology, Chemistry and Engineering. Addison-Wesley, Reading (1994)"},{"issue":"11","key":"346_CR14","doi-asserted-by":"publisher","first-page":"1297","DOI":"10.13067\/JKIECS.2014.9.11.1297","volume":"9","author":"S Kim","year":"2014","unstructured":"Kim, S., Shon, Y., Bae, Y.: Mathematical modeling of love and its nonlinear analysis. J. Korea Inst. Electr. Commun. Sci. 9(11), 1297\u20131303 (2014). doi:\n                        10.13067\/JKIECS.2014.9.11.1297","journal-title":"J. Korea Inst. Electr. Commun. Sci."},{"issue":"2","key":"346_CR15","doi-asserted-by":"publisher","first-page":"253","DOI":"10.13067\/JKIECS.2015.10.2.253","volume":"10","author":"Y Bae","year":"2015","unstructured":"Bae, Y.: Behavior analysis of dynamic love model with time delay. J. Korea Inst. Electr. Commun. Sci. 10(2), 253\u2013260 (2015). doi:\n                        10.13067\/JKIECS.2015.10.2.253","journal-title":"J. Korea Inst. Electr. Commun. Sci."},{"issue":"12","key":"346_CR16","doi-asserted-by":"publisher","first-page":"1441","DOI":"10.13067\/JKIECS.2014.9.12.1441","volume":"9","author":"Y Bae","year":"2014","unstructured":"Bae, Y.: Modified mathematical modeling of love and its behavior analysis. J. Korea Inst. Electr. Commun. Sci. 9(12), 1441\u20131446 (2014). doi:\n                        10.13067\/JKIECS.2014.9.12.1441","journal-title":"J. Korea Inst. Electr. Commun. Sci."},{"issue":"2","key":"346_CR17","doi-asserted-by":"publisher","first-page":"155","DOI":"10.5391\/JKIIS.2015.25.2.155","volume":"25","author":"LY Huang","year":"2015","unstructured":"Huang, L.Y., Bae, Y.: Behavior analysis in love model of Romeo and Juliet with time delay. J. Korean Inst. Intell. Syst. 25(2), 155\u2013160 (2015). doi:\n                        10.5391\/JKIIS.2015.25.2.155","journal-title":"J. Korean Inst. Intell. Syst."},{"issue":"3","key":"346_CR18","doi-asserted-by":"publisher","first-page":"210","DOI":"10.5391\/JKIIS.2015.25.3.210","volume":"25","author":"LY Huang","year":"2015","unstructured":"Huang, L.Y., Bae, Y.: Comparative behavior analysis in love model with same and different time delay. J. Korean Inst. Intell. Syst. 25(3), 210\u2013216 (2015). doi:\n                        10.5391\/JKIIS.2015.25.3.210","journal-title":"J. Korean Inst. Intell. Syst."},{"issue":"1","key":"346_CR19","doi-asserted-by":"publisher","first-page":"64","DOI":"10.5391\/IJFIS.2016.16.1.64","volume":"16","author":"Y Bae","year":"2016","unstructured":"Bae, Y.: Nonlinear behavior in love model with discontinuous external force. Int. J. Fuzzy Log. Intell. Syst. 16(1), 64\u201371 (2016). doi:\n                        10.5391\/IJFIS.2016.16.1.64","journal-title":"Int. J. Fuzzy Log. Intell. Syst."},{"issue":"4","key":"346_CR20","doi-asserted-by":"publisher","first-page":"283","DOI":"10.5391\/IJFIS.2015.15.4.283","volume":"15","author":"Y Bae","year":"2015","unstructured":"Bae, Y.: Chaotic behavior in dynamic love model with different external force. Int. J. Fuzzy Log. Intell. Syst. 15(4), 283\u2013288 (2015). doi:\n                        10.5391\/IJFIS.2015.15.4.283","journal-title":"Int. J. Fuzzy Log. Intell. Syst."},{"issue":"7","key":"346_CR21","doi-asserted-by":"publisher","first-page":"845","DOI":"10.13067\/JKIECS.2015.10.7.845","volume":"10","author":"L Hyang","year":"2015","unstructured":"Hyang, L., Bae, Y.: Analysis of nonlinear behavior in love model with external force. J. Korea Inst. Electr. Commun. Sci. 10(7), 845\u2013850 (2015). doi:\n                        10.13067\/JKIECS.2015.10.7.845","journal-title":"J. Korea Inst. Electr. Commun. Sci."},{"key":"346_CR22","doi-asserted-by":"publisher","first-page":"1205","DOI":"10.1137\/S003613999630592X","volume":"58","author":"S Rinaldi","year":"1998","unstructured":"Rinaldi, S.: Laura and Patriarch: an intriguing case of cyclical love dynamics. SIAM J. Appl. Math. 58, 1205\u20131221 (1998). doi:\n                        10.1137\/S003613999630592X","journal-title":"SIAM J. Appl. Math."},{"issue":"4","key":"346_CR23","doi-asserted-by":"publisher","first-page":"255","DOI":"10.2498\/cit.1001393","volume":"16","author":"F Breitenecker","year":"2008","unstructured":"Breitenecker, F., Judex, F., Popper, N., Breitenecker, A.: Love emotions between Laura and Petrarch: an approach by mathematics and system dynamics. J. Comput. Inf. Technol. 16(4), 255\u2013269 (2008). doi:\n                        10.2498\/cit.1001393","journal-title":"J. Comput. Inf. Technol."},{"issue":"2","key":"346_CR24","doi-asserted-by":"publisher","first-page":"1535","DOI":"10.1016\/j.amc.2006.11.026","volume":"188","author":"J Wauer","year":"2007","unstructured":"Wauer, J., Schwarzer, D., Cai, G.Q., Lin, Y.K.: Dynamical models of love with time-varying fluctuations. Appl. Math. Comput. 188(2), 1535\u20131548 (2007). doi:\n                        10.1016\/j.amc.2006.11.026","journal-title":"Appl. Math. Comput."},{"issue":"2\u20133","key":"346_CR25","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/S0096-3003(97)10081-9","volume":"95","author":"S Rinaldi","year":"1998","unstructured":"Rinaldi, S.: Love dynamics: the case of linear couples. Appl. Math. Comput. 95(2\u20133), 181\u2013192 (1998). doi:\n                        10.1016\/S0096-3003(97)10081-9","journal-title":"Appl. Math. Comput."},{"issue":"4","key":"346_CR26","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1016\/j.chaos.2005.10.037","volume":"31","author":"X Liao","year":"2007","unstructured":"Liao, X., Ran, J.: Hopf bifurcation in love dynamical models with nonlinear couples and time delays. Chaos Solitons Fractals 31(4), 853\u2013865 (2007). doi:\n                        10.1016\/j.chaos.2005.10.037","journal-title":"Chaos Solitons Fractals"},{"issue":"4","key":"346_CR27","doi-asserted-by":"publisher","first-page":"1367","DOI":"10.1016\/j.chaos.2006.01.098","volume":"33","author":"WM Ahmad","year":"2007","unstructured":"Ahmad, W.M., E-Khazali, R.: Fractional-order dynamical model of love. Chaos Solitons Fractals 33(4), 1367\u20131375 (2007). doi:\n                        10.1016\/j.chaos.2006.01.098","journal-title":"Chaos Solitons Fractals"},{"issue":"1","key":"346_CR28","first-page":"103","volume":"5","author":"WL Ahmad","year":"2015","unstructured":"Ahmad, W.L., Chen, K.: Chaotic behavior in a new fractional-order love triangle system with competition. Appl. Anal. Comput. 5(1), 103\u2013113 (2015)","journal-title":"Appl. Anal. Comput."},{"key":"346_CR29","volume-title":"Mathematics and Sex","author":"C Cresswell","year":"2003","unstructured":"Cresswell, C.: Mathematics and Sex. Griffin Press, Syndey (2003)"},{"issue":"4","key":"346_CR30","doi-asserted-by":"publisher","first-page":"262","DOI":"10.5391\/IJFIS.2016.16.4.262","volume":"16","author":"L Huang","year":"2016","unstructured":"Huang, L., Hwang, S., Bae, Y.: Chaotic behavior in model with a Gaussian function as external force. Int. J. Fuzzy Log. Intell. Syst. 16(4), 262\u2013269 (2016). doi:\n                        10.5391\/IJFIS.2016.16.4.262","journal-title":"Int. J. Fuzzy Log. Intell. Syst."}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40815-017-0346-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-017-0346-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-017-0346-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,12,5]],"date-time":"2017-12-05T07:14:05Z","timestamp":1512458045000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40815-017-0346-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,26]]},"references-count":30,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["346"],"URL":"https:\/\/doi.org\/10.1007\/s40815-017-0346-6","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"value":"1562-2479","type":"print"},{"value":"2199-3211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,6,26]]}}}