?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4960%2F&rft.title=Laura+and+Petrarch%3A+An+Intriguing+Case+of+Cyclical+Love+Dynamics&rft.creator=Rinaldi%2C+S.&rft.description=Three+ordinary+differential+equations+are+proposed+to+model+the+dynamics+of+love+between+Petrarch%2C+a+celebrated+Italian+poet+of+the+14th+century%2C+and+Laura%2C+a+beautiful+but+married+lady.+The+equations+are+nonlinear+but+can+be+studied+through+the+singular+perturbation+approach+if+the+inspiration+of+the+poet+is+assumed+to+have+very+slow+dynamics.+In+such+a+case%2C+explicit+conditions+are+found+in+the+appeals+of+Laura+and+Petrarch+and+in+their+behavioural+parameters+that+guarantee+the+existence+of+a+globally+stable+slow-fast+limit+cycle.+These+conditions+are+consistent+with+the+relatively+clear+portrait+of+the+two+personalities+one+gets+while+reading+the+poems+addressed+to+Laura.+On+the+basis+of+the+sparse+and+only+qualitative+information+available%2C+the+calibration+of+the+parameters+is+also+performed%3B+the+result+is+that+the+calibrated+model+shows+that+the+poet's+emotions+have+been+following+for+about+20+years+a+quite+regular+cyclical+pattern+ranging+from+the+extremes+of+ecstasy+to+despair.+All+these+findings+agree+with+the+recent+results+of+Frederic+Jones+who%2C+through+a+detailed+stylistic+and+linguistic+analysis+of+the+poems+inspired+by+Laura%2C+has+discovered+Petrarch's+emotional+cycle+in+a+fully+independent+way.&rft.publisher=WP-96-067&rft.date=1996-06&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4960%2F1%2FWP-96-067.pdf&rft.identifier=++Rinaldi%2C+S.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F253.html%3E++(1996).++Laura+and+Petrarch%3A+An+Intriguing+Case+of+Cyclical+Love+Dynamics.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-96-067+++++