dc.contributor.author | Özer, Mehmet | |
dc.contributor.author | Hacibekiroglou, Gürsel | |
dc.contributor.author | Valaristos, Antonios | |
dc.contributor.author | Miliou, Amalia N. | |
dc.contributor.author | Polatoglu, Yasar | |
dc.contributor.author | Anagnostopoulos, Antonios N. | |
dc.contributor.author | Čenys, Antanas | |
dc.date.accessioned | 2023-09-18T19:42:42Z | |
dc.date.available | 2023-09-18T19:42:42Z | |
dc.date.issued | 2006 | |
dc.identifier.issn | 1303-2739 | |
dc.identifier.other | (BIS)VGT02-000013776 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/142366 | |
dc.description.abstract | In the present report the dynamic behaviour of the one dimensional family of maps f(x) = b(x + a)~ is examined, for representative values of the control parametres d, b and A . These maps arc of special interest, since they are solutions of -/Viy = 2, where Nr is the Relaxed Newton's method derivative. The maps f(x) are proved to be solutions of the non-linear differential equation, ——— — ft • [f(x) , where p = / • 6 . The reccurent form of dx these maps, X^ = b(x^ + d)~ , after excessive iterations, shows in a X^ vs. A plot, an initial exponential decay followed by a bifurcation. The value of 2 at which this bifurcation takes place, depends on the values of the parameters Q, b . This corresponds to a switch to an oscillatory behaviour with amplitudes of f(x) undergoing a period doubling. For values of d slightly higher than 1 and at higher A. 's a reverse bifurcation occurs and a bleb is formed. This behaviour is confirmed by calculating the corresponding Lyapunov exponent. | eng |
dc.format.extent | p. 91-97 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.title | Dynamics on relaxed newton's method derivative | |
dc.type | Straipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed source | |
dcterms.references | 10 | |
dc.type.pubtype | S4 - Straipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed publication | |
dc.contributor.institution | Istanbul Kultur University | |
dc.contributor.institution | Aristotle University of Thessaloniki | |
dc.contributor.institution | Aristoteles University, Greece | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas Puslaidininkių fizikos institutas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dcterms.sourcetitle | Journal of Istanbul Kültür University | |
dc.description.issue | no. 4 | |
dc.description.volume | Vol. 4 | |
dc.identifier.elaba | 3762887 | |