Synchronisation and Circuit Realisation of Chaotic Hartley System.

Hartley chaotic system is topologically the simplest, but its dynamical behaviours are very rich and its synchronisation has not been seen in literature. This paper aims to introduce a simple chaotic system which can be used as alternative to classical chaotic systems in synchronisation fields. Time...

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Published in:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 73; no. 6; pp. 521 - 532
Main Authors: Varan, Metin, Akgül, Akif, Güleryüz, Emre, Serbest, Kasım
Format: Article
Published: De Gruyter Jun2018
Subjects:
Online Access:View this record in EBSCOhost
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      tig:
        atl: Synchronisation and Circuit Realisation of Chaotic Hartley System.
      aug:
        au:
          Varan, Metin
          Akgül, Akif
          Güleryüz, Emre
          Serbest, Kasım
        affil:
          Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, 54187 Serdivan, Sakarya, Turkey
          Department of Mechatronics Engineering, Faculty of Technology, Sakarya University, 54187 Serdivan, Sakarya, Turkey
      su:
        Bifurcation diagrams
        Chaos synchronization
        Lyapunov exponents
        MatLab (Computer software)
        Simulink (Computer software)
      sug:
        subj:
          Bifurcation diagrams
          Chaos synchronization
          Lyapunov exponents
          MatLab (Computer software)
          Simulink (Computer software)
      keyword:
        Bifurcation
        Chaos Synchronisation
        Hartley Chaotic System
        Lyapunov Exponents
        Secure Communication
      ab: Hartley chaotic system is topologically the simplest, but its dynamical behaviours are very rich and its synchronisation has not been seen in literature. This paper aims to introduce a simple chaotic system which can be used as alternative to classical chaotic systems in synchronisation fields. Time series, phase portraits, and bifurcation diagrams reveal the dynamics of the mentioned system. Chaotic Hartley model is also supported with electronic circuit model simulations. Its exponential dynamics are hard to realise on circuit model; this paper is the first in literature that handles such a complex modelling problem. Modelling, synchronisation, and circuit realisation of the Hartley system are implemented respectively in MATLAB-Simulink and ORCAD environments. The effectiveness of the applied synchronisation method is revealed via numerical methods, and the results are discussed. Retrieved results show that this complex chaotic system can be used in secure communication fields.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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