https://doi.org/10.1140/epjp/s13360-024-05176-1
Regular Article
Nonlinear coexistence phenomenon and FPGA implementation with the hybrid of memristive–memcapacitive hyperchaotic system
1
School of Information Engineering, Jiangxi University of Science and Technology, 341000, Ganzhou, China
2
KhomeiniShahr Branch, Islamic Azad University, 10587, Isfahan, Iran
Received:
18
January
2024
Accepted:
5
April
2024
Published online:
7
May
2024
A hyperchaotic circuit with double mem-elements: memristor and memcapacitor is proposed in this paper. The circuit has hyperchaotic behavior in a very large parameter range, the regulation of model-related parameters on chaotic circuits is studied, and rich dynamical behaviors are found. The system state can be changed from chaotic bursting to non-completely symmetrical bilateral bursting or period, from transient chaos to period, from bursting to 1-period bursting, from chaos to 3 spikes bursting and so on. Interestingly, the attractive basins exhibit a variety of special shapes, and the chaotic trajectories at different locations (different initial conditions) of the basins are various. The coexisting attractors are axisymmetric about some vector axis, which corresponds to the nonlinear dynamical of the attractive basins. One of the coexisting attractors has a complex dynamical transition behavior, which can be transformed from a chaotic state to a 2-spike bursting state. In addition, the rotationally symmetric coexisting bursting attractors are formed when different values of system parameters are selected. Meanwhile, a series of spectral entropy complexity distributions are analyzed, and it is found that special shapes are consistent with the attractive basins. Finally, using the platform of Cyclone IV E series, the hardware implementation of the memristive–memcapacitive hybrid hyperchaotic circuit is completed by using FPGA main chip EP4CE115F29C7.
The original online version of this article was revised: In this article the name of the corresponding author was misspelled: Xianghong Zhang should have been written as Xiaohong Zhang. The original article has been corrected.
A correction to this article is available online at https://doi.org/10.1140/epjp/s13360-025-06012-w.
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corrected publication 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.
