Uncertain destination dynamics of a novel memristive 4D autonomous system. (February 2018)

• Record Type: Journal Article
• Authors: Njitacke, Z.T.; Kengne, J.; Tapche, R. Wafo; Pelap, F.B.
• Is Part Of: Chaos, solitons and fractals. Volume 107(2018)
• Page Start: 177
• Page End: 185
• Publication Date: 2018-02
• Subjects: Memristive 4D autonomous system -- Bifurcation analysis -- Lyapunov exponents -- Bifurcation like sequences -- Extreme multistability; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.01.004
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A novel memristive 4D autonomous system with a line of equilibria is proposed. The system is shown to experience the unusual phenomenon of extreme multistability. The complex behaviors of the model are numerically investigated by using bifurcation diagrams, phase space trajectory plots, and graphs of Lyapunov exponents. Abstract: This paper studies the dynamics of a novel memristive 4D autonomous system obtained by replacing the memristive diode bridge in the original circuit of [Chaos, Solitons and Fractals 91 180–197 (2016)] with a flux control memristor. The new memristor oscillator is described by a continuous time four-dimensional autonomous system with a line of equilibria. The analysis is carried out in terms of its parameters by using bifurcation diagrams, phase space trajectory plots, Poincaré sections, bifurcation like sequences, and graphs of Lyapunov exponents. The system is shown to experience the unusual phenomenon of extreme multistability characterized by the possibility of an infinite number of attractors for the same parameters setting. Period doubling and symmetry restoring crisis scenarios are reported. To the best of the authors' knowledge, the results of this work represent the first report on the phenomenon of extreme multistability in a jerk system and thus deserve dissemination.