The European Physical Journal Special Topics

, Volume 228, Issue 10, pp 2339–2349 | Cite as

A new memristive chaotic flow with a line of equilibria

  • Van Van Huynh
  • Abdul Jalil M. Khalaf
  • Ahmed Alsaedi
  • Tasawar Hayat
  • Hamid Reza AbdolmohammadiEmail author
Regular Article
Part of the following topical collections:
  1. Memristor-based Systems: Nonlinearity, Dynamics and Applications


A new 4-D memristive chaotic flow is proposed in this paper. Dynamical investigation of the proposed system shows some specific properties. The system has a line of equilibria which are unstable in some limited intervals and stable at other intervals. Investigating bifurcation diagram of the system shows an inverse period-doubling route to chaos. Also, different initiation in plotting bifurcation diagram shows its multistability. In some intervals of the parameter, two Lyapunov exponents of the system are positive, and the attractor is hyper-chaotic. However, in some other ranges of parameters, only one Lyapunov exponent is positive, and the attractor is chaotic. Basin of attraction of the system is studied which shows a vast region of attraction for the chaotic attractor. Entropy analysis of the system provides a viewpoint into the unpredictability of the system.


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Copyright information

© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Van Van Huynh
    • 1
  • Abdul Jalil M. Khalaf
    • 2
  • Ahmed Alsaedi
    • 3
  • Tasawar Hayat
    • 3
    • 4
  • Hamid Reza Abdolmohammadi
    • 5
    Email author
  1. 1.Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Ministry of Higher Education and Scientific ResearchBaghdadIraq
  3. 3.NAAM Research Group, King Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  5. 5.Department of Electrical EngineeringGolpayegan University of TechnologyGolpayeganIran

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