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Multistability and initial-offset boosting dynamics in a new 3D memristive chaotic system with FPGA implementation

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Abstract

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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Data availibility statement

The authors declare that the data supporting the findings of this study are available within the paper.

Notes

  1. https://www.spiral.net/hardware/multless.html.

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Acknowledgements

The authors acknowledge the Laboratory of Physics—University of Maroua and the Laboratory of Applied Electronics and Devices for Biosystems (LEADBio-USP) for supporting this project.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon

    Zourmba Kotadai

  2. Institute of Fine Arts and Innovation, University of Garoua, P.O. Box 346, Garoua, Cameroon

    Zourmba Kotadai

  3. Faculty of Food Engineering and Animal Science of University of São Paulo, São Paulo, 13635-900, Brazil

    Clovis Fischer

  4. Department of Electronics, INAOE, Tonantzintla, Puebla, 72840, Mexico

    José David Rodríguez-Muñoz & Esteban Tlelo-Cuautle

  5. Department of Physics, Faculty of Science, University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon

    Effa Joseph Yves

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  1. Zourmba Kotadai
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Correspondence to Zourmba Kotadai.

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Kotadai, Z., Fischer, C., Rodríguez-Muñoz, J.D. et al. Multistability and initial-offset boosting dynamics in a new 3D memristive chaotic system with FPGA implementation. Eur. Phys. J. Plus 139, 70 (2024). https://doi.org/10.1140/epjp/s13360-024-04859-z

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