https://doi.org/10.1140/epjp/s13360-024-04859-z
Regular Article
Multistability and initial-offset boosting dynamics in a new 3D memristive chaotic system with FPGA implementation
1
Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon
2
Institute of Fine Arts and Innovation, University of Garoua, P.O. Box 346, Garoua, Cameroon
3
Faculty of Food Engineering and Animal Science of University of São Paulo, 13635-900, São Paulo, Brazil
4
Department of Electronics, INAOE, Tonantzintla, 72840, Puebla, Mexico
5
Department of Physics, Faculty of Science, University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon
Received:
29
November
2023
Accepted:
29
December
2023
Published online:
21
January
2024
In this paper, a new 3D memristor-based chaotic system based on the Sprot B model is designed. The proposed system analyzes the coexistence of symmetric attractors confirmed with basins of attraction to highlight the presence of multiple attractors, which influence initial conditions. The initial condition offset boosting performs a wide range of signals without affecting their dynamic properties, such as Lyapunov exponents. By adjusting the initial condition, the LEs are unchanged; the attractors have the same topology. Basic dynamic characteristics of the system are investigated, including equilibrium points stability, bifurcation diagrams, Lyapunov exponents, basin of attraction, phase plot, conservative Hamiltonian energy and complexity analysis. A comparative analysis with existent multistable chaotic systems is investigated, and this system presents a good performance. The circuit simulation based on multisim and the Field Programable Gates Arrays verifies the numerical simulations which are in good agreement with the ones simulated for the different coexisting attractors. The nonlinear differential equations are discretized by applying the Forward Euler numerical method, and the system is simulated using Verilog hardware description language.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
