A 4-D Hyperchaotic Memristive Dynamical System

Abstract

Abstract.A new 4-D memristive system is presented in this paper. The peculiarity of the model is that it displays a line of equilibrium points and it has hyperchaotic dynamics in a particular range of the parameters space. The behavior of the proposed system is investigated through numerical simulations, by using phase portraits, Lyapunov exponents and Poincaré sections. Furthermore, we have designed and implemented an electronic circuit to verify the feasibility of the proposed system.

Analysis, circuit design, and synchronization of a new 8D memristor-based chaotic system with application to chaotic masking and signal decoding

“…10. Electronic circuit of the generator of chaotic oscillations based on the system of equations (13).…”

“…10, the electronic circuit for the system of equations ( 13) is depicted, constructed within the Multisim environment. In this configuration, the SC2 subsystem is utilized for convenience, specifically designed to address the first three and last equations (13). Within the SC2 subsystem, the electronic circuit of the memristor emulator is highlighted with a thick line.…”

Mathematical framework for three cross-over memristor and its realization employing OTAs

“…Because, it has been proved that Chua's diode, used in the conventional chaotic generator proposed by Chua, can be replaced by a memristor having non-linear relationship with flux or charge (Xiong et al, 2019). And remarkably, in [ (Chunhua et al, 2017) and (Prousils et al, 2016)], the memristor-based hyperchaotic oscillators have been developed which use memristor model having highly non-linear dependency on voltage flux. Therefore, it can be understood that highly nonlinear behaviour of multiple lobe memristors can be used to realize hyperchaotic oscillators.…”