https://doi.org/10.1140/epjst/e2020-900123-5
Regular Article
Hyperchaos, quasi-period and coexisting behaviors in second-order-memristor-based jerk circuit
1
School of Electronic Information, Nanjing College of Information Technology, Nanjing 210023, P.R. China
2
School of Information Science and Engineering, Changzhou University, Changzhou 213164, P.R. China
3
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R. China
a e-mail: mervinbao@126.com
Received:
25
June
2019
Received in final form:
8
August
2019
Published online:
26
March
2020
This paper generalizes a second-order-memristor-based jerk circuit, which is achieved by substituting the first-order memristor contained diode-bridge and RC filter in an existing memristive jerk circuit with a second-order one composed of diode-bridge and LC network. The second-order-memristor-based jerk circuit possesses an unstable saddle-focus and generates complex parameter-dependent dynamics, including hyperchaos, chaos, quasi-period, and period along with coexisting behaviors. The coexistences of symmetric chaotic and quasi-periodic attractors are shown by local attraction basins. Particularly, 2D two-layer-based dynamical maps on the system parameter spaces are employed to perfectly detect complex dynamical behaviors of hyperchaos and quasi-period. Furthermore, hardware breadboard is made for experimental investigations and the measurement results well validate complex parameter-dependent dynamics revealed by the numerical simulations.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020