Initial-Condition Effects on a Two-Memristor-Based Jerk System

Han Bao, Ruoyu Ding, Mengjie Hua, Huagan Wu and Bei Chen
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Han Bao: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Ruoyu Ding: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Mengjie Hua: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Huagan Wu: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China
Bei Chen: School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China

Mathematics, 2022, vol. 10, issue 3, 1-13

Abstract: Memristor-based systems can exhibit the phenomenon of extreme multi-stability, which results in the coexistence of infinitely many attractors. However, most of the recently published literature focuses on the extreme multi-stability related to memristor initial conditions rather than non-memristor initial conditions. In this paper, we present a new five-dimensional (5-D) two-memristor-based jerk (TMJ) system and study complex dynamical effects induced by memristor and non-memristor initial conditions therein. Using multiple numerical methods, coupling-coefficient-reliant dynamical behaviors under different memristor initial conditions are disclosed, and the dynamical effects of the memristor initial conditions under different non-memristor initial conditions are revealed. The numerical results show that the dynamical behaviors of the 5-D TMJ system are not only dependent on the coupling coefficients, but also dependent on the memristor and non-memristor initial conditions. In addition, with the analog and digital implementations of the 5-D TMJ system, PSIM circuit simulations and microcontroller-based hardware experiments validate the numerical results.

Keywords: memristor; jerk system; initial condition; extreme multi-stability; dynamical effect; circuit implementation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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