Matematik ve Bilgisayar Bölümü / Department of Mathematics and Computer Science
Permanent URI for this collectionhttps://hdl.handle.net/11413/6787
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Browsing Matematik ve Bilgisayar Bölümü / Department of Mathematics and Computer Science by Subject "Algorithm"
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Publication Embargo B-Spline Solution and the Chaotic Dynamics of Troesch's Problem(Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02) Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet; 114368; 110809; 2509A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions of Troesch's problem as they were derived by the decomposition method approximation are examined and an approximate critical value for the parameter lambda is introduced also in this study. For the parameter value slightly less than lambda approximate to 2.2, the solutions begin to show successive bifurcations, finally entering chaotic regimes at higher lambda values. The effectiveness and accuracy of the B-spline method is verified for different values of the parameter, below its critical value, where the first bifurcation occurs.Publication Metadata only Design of a lattice-based access control scheme(IEEE, 345 E 47th St, New York, Ny 10017 USA, 2009) Demirer, Rüştü Murat; Chiang, Chia-Chu; Bayrak, Coşkun; Şeker, Remzi; Topaloğlu, Ümit; Samadi, Nasrola; Tek, Süleyman; Jiang, Bian; Zhou, GuangXu; Wang, Xiaoran; 141152; 6194Publication Metadata only Neural network based intrusion detection systems with different training functions(IEEE, 345 E 47th St, New York, Ny 10017 USA, 2018) BAYDOĞMUŞ, GÖZDE KARATAŞ; ŞAHİNGÖZ, ÖZGÜR KORAY; 110942; 214903In the last decades, due to the improvements in networking techniques and the increased use of the Internet, the digital communications entered all of the activities in the global marketplace. Parallel to these enhancements the attempts of hackers for intruding the networks are also increased. They tried to make unauthorized access to the networks for making some modifications in their data or to increase the network traffic for making a denial of service attack. Although a firewall seems as a good tool for preventing this type of attacks, intrusion detection systems (IDSs) are also preferred especially for detecting the attack within the network system. In the last few years, the performance of the IDS is increased with the help of machine learning algorithms whose effects depend on the used training/learning algorithm. Mainly it is really hard to know which learning algorithm can be the fastest one according to the problem type. The algorithm selection depends on lots of factors such as the size of data sets, number of nodes network design, the targeted error rate, the complexity of the problem, etc. In this paper, it is aimed to compare different network training function in a multi-layered artificial neural network which is designed for constructing an effective intrusion detection system. The experimental results are depicted in the paper by explaining the efficiency of the algorithms according to their true-positive detection rates and speed of the execution.Publication Restricted Sombor Index of Zero-Divisor Graphs of Commutative Rings(Ovidius Univ Press, 2022) Gürsoy, Arif; ÜLKER, ALPER; Kırcali Gürsoy, NeclaIn this paper, we investigate the Sombor index of the zero-divisor graph of DOUBLE-STRUCK CAPITAL Z (n) which is denoted by Gamma(DOUBLE-STRUCK CAPITAL Z (n) ) for n is an element of {p(alpha), pq, p (2) q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Gamma(DOUBLE-STRUCK CAPITAL Z (n) ). Finally, we give Sombor index of product of rings of integers modulo n.