Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12573/395

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Access Right: Open AccessSubject: search.filters.subject.Chaos

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  • Article
    Citation - Scopus: 25
    Lyapunov Exponent Enhancement in Chaotic Maps With Uniform Distribution Modulo One Transformation
    (Akif AKGUL, 2022-03-30) Ablay, Günyaz
    Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability. This work presents a nonlinear transformation approach for Lyapunov exponent enhancement and robust chaotification in discrete-time chaotic systems for generating highly independent and uniformly distributed random chaotic sequences. The outcome of the new chaotic systems can directly be used in random number and random bit generators without any post-processing algorithms for various information technology applications. The proposed Lyapunov exponent enhancement based chaotic maps are analyzed with Lyapunov exponents, bifurcation diagrams, entropy, correlation and some other statistical tests. The results show that excellent random features can be accomplished even with one-dimensional chaotic maps with the proposed approach. © 2023 Elsevier B.V., All rights reserved.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 12
    Chaos in PID Controlled Nonlinear Systems
    (Korean Institute of Electrical Engineers jeet@kiee.or.kr, 2015-07-01) Ablay, G.
    Controlling nonlinear systems with linear feedback control methods can lead to chaotic behaviors. Order increase in system dynamics due to integral control and control parameter variations in PID controlled nonlinear systems are studied for possible chaos regions in the closed-loop system dynamics. The Lur’e form of the feedback systems are analyzed with Routh’s stability criterion and describing function analysis for chaos prediction. Several novel chaotic systems are generated from second-order nonlinear systems including the simplest continuous-time chaotic system. Analytical and numerical results are provided to verify the existence of the chaotic dynamics. © 2017 Elsevier B.V., All rights reserved.