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- W4308796299 abstract "Discrete memristors can be used to improve the chaos complexity of existing chaotic maps due to their special nonlinearities of internal states. In this paper, a unified memristor-based Gauss mapping model is presented by coupling discrete memristors with Gauss map and then four two-dimensional (2-D) memristive Gauss maps using four different memristance functions are derived. The memristor-based Gauss mapping model possesses two specific cases of infinitely many line fixed points and no fixed points, resulting in the appearance of hidden dynamics or self-exited dynamics. To address the stability analysis of this kind of hidden dynamics, we use a dimension-reduction conversion method to study the hidden period-doubling bifurcations therein. Afterwards, we simulate and discuss the hidden/self-exited dynamics of the four 2-D memristive Gauss maps using several numerical tools, and perform performance tests and hardware experiments of the generated hidden/self-exited chaotic/hyperchaotic attractors. The results demonstrate that the discrete memristor can make the four 2-D memristive Gauss maps produce complex dynamical behaviours and greatly improve the chaos complexity of the one-dimensional (1-D) Gauss map." @default.
- W4308796299 created "2022-11-15" @default.
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- W4308796299 date "2022-11-11" @default.
- W4308796299 modified "2023-10-16" @default.
- W4308796299 title "Memristor-based Gauss chaotic maps with hidden/self-exited dynamics" @default.
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- W4308796299 doi "https://doi.org/10.1080/10236198.2022.2144268" @default.
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