https://doi.org/10.1140/epjp/s13360-025-06290-4
Regular Article
Analysis, implementation and finite-time synchronization of a multi-parameter controllable memristive conservative multi-wave chaotic system
School of Information and Electrical Engineering, Hunan University of Science and Technology, 411100, Xiangtan, China
Received:
5
December
2024
Accepted:
1
April
2025
Published online:
28
April
2025
A three-dimensional memristive conservative multi-wave chaotic system is proposed, with low dimensionality, a simple mathematical model, and rich dynamical behaviors. The attractors with the three system parameters (c, d, e) will all show multi-wave changes, and with the parameter e changes in the multi-wave attractors can be symmetric state, in which we use the parameter e to explore the attractor formation mechanism, from the x–z plane, with the parameter e increases the attractor gradually stacked, and ultimately the formation of the attractor. In addition, with the change of the parameters a and b, the shape of the attractors will be changed, and when a and b are varied simultaneously, the maximum Lyapunov exponent of the system can reach 2.84. The chaotic, hidden and under certain conditions conservative features of the system are proved by analyzing the Lyapunov exponent, the Kaplan-Yorke dimension, and the equilibrium point. Furthermore, we discover that the system shows multiple coexisting attractors behavior, two kinds of offset-boosting behaviors, and three kinds of transient transfer behaviors. The system is then used for finite-time synchronization, which provides a reference for applications in real engineering. Finally, the system’s hardware is implemented using FPGA.
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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.
