https://doi.org/10.1140/epjp/s13360-025-07165-4
Regular Article
Dynamical behaviors control, implementation and image encryption application of a novel symmetric multi-stable memristive chaotic system
School of Information and Electrical Engineering, Hunan University of Science and Technology, 411100, Xiangtan, China
a
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Received:
3
November
2025
Accepted:
4
December
2025
Published online:
22
December
2025
Abstract
A symmetric memristive chaotic system with multistable properties and hidden attractors is proposed. Using Lyapunov exponents, Poincaré maps, and equilibrium point analysis, the chaos and hiddenness of the system are investigated. A wide range of chaotic states and intermittent chaos phenomena are shown by the system under particular parameter conditions. As parameters and time vary, the system exhibits regular quasi-periodic oscillations, with its phase diagram corresponding to the controllable changes of a “willow-leaf-shaped” attractor, and under fixed initial conditions, the system exhibits symmetric coexisting attractors. The system exhibits the phenomenon of attractors rotating clockwise and counterclockwise as parameters increase, as well as two types of offset-boosting phenomenon. Furthermore, with changes of initial values, the system exhibits coexisting attractors of three kinds of states, with attractors all showing symmetric type. Additionally, as the initial value of the system changes, the attractor exhibits change in amplitude and movement in position. In addition, the hardware circuit of the system has been successfully implemented using field programmable gate array, demonstrating its feasibility. Finally, we apply the system to remote sensing image encryption. Various security tests show that the system has a good encryption effect, demonstrating the potential of the system to be applied in the field of image encryption.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
