Design and multistability analysis of memristor-based jerk hyperchaos system with controllable offset
College of Information and Communication Engineering, Harbin Engineering University, 150001, Harbin, China
2 MIIT Key Laboratory of Advanced Marine Communication and Information Technology, 150001, Harbin, China
Accepted: 3 April 2022
Published online: 15 April 2022
In this paper, a hyperchaotic jerk circuit based on cubic memristor is proposed using memristor replacement method and deduces the corresponding dimensionless system. Through the analysis of basic dynamic characteristics, it is found that there are multiple alternating behaviors among period, chaos and hyperchaos, as well as the attractor displacement phenomenon controlled by the offset constant. Then, the multistability of the system is studied in detail, multiple asymmetric coexistence attractors are found, and the symmetric coexistence attractors are analyzed combined with the basin of attraction. Finally, the circuit is designed and simulated, which is consistent with the numerical simulation results.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022