dc.contributor.author | Özer, Mehmet | |
dc.contributor.author | Valaristos, Antonios | |
dc.contributor.author | Polatoglu, Yasar | |
dc.contributor.author | Hacibekiroglou, Gürsel | |
dc.contributor.author | Čenys, Antanas | |
dc.contributor.author | Anagnostopoulos, A. N. | |
dc.date.accessioned | 2023-09-18T16:48:22Z | |
dc.date.available | 2023-09-18T16:48:22Z | |
dc.date.issued | 2007 | |
dc.identifier.other | (BIS)VGT02-000016088 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/117070 | |
dc.description.abstract | In the present report the dynamic behaviour of the one dimensional family of maps [...] is examined, for different ranges of the control parametres a, b and c. These maps are of special interest, since they are solutions of N f ′ (x) = a, where N f ′ is the Newton’s method derivative. In literature only the case N f ′ (x) = 2 has been completely examined. Simultaneously, they may be viewed as solutions of normal forms of second order homogeneous equations, F″(x)+p(x)F(x) = 0, with immense applications in mechanics and electronics. The reccurent form of these maps,[....] , after excessive iterations, shows an oscillatory behaviour with amplitudes undergoing the period doubling route to chaos. This behaviour was confirmed by calculating the corresponding Lyapunov exponents. | eng |
dc.format | PDF | |
dc.format.extent | p. 423-433 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | SpringerLink | |
dc.title | A characterization of the dynamics of Newton’s derivative | |
dc.type | Straipsnis kitoje DB / Article in other DB | |
dc.type.pubtype | S3 - Straipsnis kitoje DB / Article in other DB | |
dc.contributor.institution | Istanbul Kultur University | |
dc.contributor.institution | Aristotle University of Thessaloniki | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas Puslaidininkių fizikos institutas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | T 007 - Informatikos inžinerija / Informatics engineering | |
dcterms.sourcetitle | Mathematical methods in engineering. Part 5 : Springer, 2007 | |
dc.identifier.doi | 10.1007/978-1-4020-5678-9 | |
dc.identifier.elaba | 3809814 | |