dc.contributor.author | Özer, Mehmet | |
dc.contributor.author | Polatoglu, Yasar | |
dc.contributor.author | Hacibekiroglou, Gürsel | |
dc.contributor.author | Valaristos, Antonios | |
dc.contributor.author | Miliou, Amalia N. | |
dc.contributor.author | Anagnostopoulos, A. N. | |
dc.contributor.author | Čenys, Antanas | |
dc.date.accessioned | 2023-09-18T17:16:42Z | |
dc.date.available | 2023-09-18T17:16:42Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 1868-1873 | |
dc.identifier.other | (BIS)VGT02-000017507 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/121199 | |
dc.description.abstract | The dynamic behaviour of the one-dimensional family of maps f(x)=c2[(a−1)x+c1]−λ/(α−1) is examined, for representative values of the control parameters a,c1, c2 and λ. The maps under consideration are of special interest, since they are solutions of the relaxed Newton method derivative being equal to a constant a. The maps f(x) are also proved to be solutions of a non-linear differential equation with outstanding applications in the field of power electronics. The recurrent form of these maps, after excessive iterations, shows, in an xn versus λ plot, an initial exponential decay followed by a bifurcation. The value of λ at which this bifurcation takes place depends on the values of the parameters a,c1 and c2. This corresponds to a switch to an oscillatory behaviour with amplitudes of f(x) undergoing a period doubling. For values of a higher than 1 and at higher values of λ a reverse bifurcation occurs. The corresponding branches converge and a bleb is formed for values of the parameter c1 between 1 and 1.20. This behaviour is confirmed by calculating the corresponding Lyapunov exponents. | eng |
dc.format | PDF | |
dc.format.extent | p. 1868-1873 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.relation.isreferencedby | INSPEC | |
dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
dc.title | The relaxed Newton method derivative: Its dynamics and non-linear properties | |
dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
dcterms.references | 11 | |
dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
dc.contributor.institution | Istanbul Kultur University | |
dc.contributor.institution | Aristotle University of Thessaloniki | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | T 007 - Informatikos inžinerija / Informatics engineering | |
dc.subject.en | Relaxed Newton method | |
dc.subject.en | Bifurcation | |
dcterms.sourcetitle | Nonlinear analysis: modelling and control | |
dc.description.issue | iss. 7 | |
dc.description.volume | Vol. 68 | |
dc.publisher.name | Elsevier | |
dc.publisher.city | Oxford | |
dc.identifier.doi | 10.1016/j.na.2007.01.020 | |
dc.identifier.elaba | 3838307 | |