Bekiryazici, Zafer; Sengul, Suleyman; Merdan, Mehmet

In this paper the fractional-order Genesio-Tesi chaotic system is investigated with Laplace transformation method. Genesio-Tesi system is a three-dimensional equation system with quadratic nonlinearity and is frequently used for exemplifying chaotic systems. In this study, Caputo fractional derivative is used to obtain the fractional system and Laplace transformation is applied in order to analyze the explicit solutions of the system.

Sengul, Suleyman; Bekiryazici, Zafer; Merdan, Mehmet

In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are compared with results from popular approximation schemes for stochastic differential equations such as Euler-Maruyama and Milstein methods. Several differential equations from engineering problems containing stochastic noise are investigated as numerical examples. Results show that Wong-Zakai method is a reliable tool for studying stochastic differential equations and can be used as an alternative for the known approximation techniques for stochastic models.

Okcu, Melih; Sengul, Suleyman; Sunar, Serap; Agar, Guleray

In this study, we investigated interspecific variations in Sections Dendrobrychis, Hymenobrychis, Heliobrychis, Onobrychis of genus Onobrychis by sodium dodecyl sulphate polyacrylamide gel electrophoresis (SDS-PAGE) technique and RAPD. Total eight species collected from different regions of Turkey were studied for the analysis of seed storage protein profiles and RAPD profile to examine their relationship. Electrophoretic data were documented by using a gel documentation system and analysed by using Quantity 1 -D analysis software and also the dendrogram was formed in UPGAMA. The sections Dendrobrychis, Heliobrychis, Hymenobrychis, Onobrychis of genus Onobrychis were firstly determined by morphological classification. In addition to RAPD and the seed protein of these species belonging to these sections were clustered together. The formed dendrogram from SDS-PAGE analysis showed that all studied species constituted two clusters. The first one consisted of O. huetiana subs. bornmuelleri, O. huetiana, O. montana, O. stenostachya and O. atropatana var. grandiflora and the second one O. viciifolia, O. hajastana and O. cornuta. The dendrogram realized from the RAPD markers grouped the Onobrychis spp. into three major clusters. Cluster 1 included O. huetiana subs. bornmuelleri, O. viciifolia, O. huetiana, O. atropatana var. grandiflora, O. montana and O. cornuta, Cluster 2 included O. stenostachya and Cluster 3 O. hajastana.