Hamiltonian energy computation of a novel memristive mega-stable oscillator (MMO) with dissipative, conservative and repelled dynamics. (February 2022)

• Record Type: Journal Article
• Authors: Vijayakumar, M.D.; Natiq, Hayder; Tametang Meli, Maxim Idriss; Leutcho, Gervais Dolvis; Tabekoueng Njitacke, Zeric
• Is Part Of: Chaos, solitons and fractals. Volume 155(2022)
• Publication Date: 2022-02
• Subjects: Megastable oscillator -- Chaotic attractor -- Conservative attractor -- Chaotic repellor -- Hamiltonian energy -- Pspice simulation; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111765
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A novel memristive mega-stable oscillator (MMO) with a plethora of properties is introduced. The investigation of the volume contraction rate of the oscillator revealed that its processes dissipative, conservative, and repelled dynamics depending on the values of the bifurcation control parameter. The mega-stable nature of investigated oscillator is characterized by the coexistence of attractors in a nested structure. The Hamiltonian-dependence energy is studied to show the mechanism of the megastability. Multiple coexisting mega-stable attractors are captured in Pspice simulations by configuring initial conditions. Abstract: Mega-stable oscillators with memristor have not been investigated in the literature up to now. In this contribution, a novel memristive mega-stable oscillator (MMO) with a plethora of properties is introduced. The originality of the introduced systems is that the 3D model exhibits mega-stability without external perturbation, which was not the case in most existing mega-stable models considered in the literature. The investigation of the volume contraction rate of the oscillator revealed that its processes dissipative, conservative, and repelled dynamics depending on the values of the bifurcation control parameter. The mega-stable nature of the investigated oscillator is characterized by the coexistence of attractors in a nested structure. In addition, the well-known Helmholtz theorem is used to determine the Hamiltonian energy used during the mechanism of the megastability. Finally, multiple coexisting mega-stable attractors are captured in Pspice simulations by configuring the initial conditions, further supporting the numerical results.