Abstract
Initial-dependent extreme multi-stability and offset-boosted coexisting attractors have been significantly concerned recently. This paper constructs a novel five-dimensional (5-D) two-memristor-based dynamical system by introducing two memristors with cosine memductance into a three-dimensional (3-D) linear autonomous dissipative system. Through theoretical analyses and numerical plots, the memristor initial-boosted coexisting plane bifurcations are found and the memristor initial-dependent extreme multi-stability is revealed in such a two-memristor-based dynamical system with plane equilibrium. Furthermore, a dimensionality reduction model with the determined equilibrium is established via an integral transformation method, upon which the memristor initial-dependent extreme multi-stability is reconstituted theoretically and expounded numerically Finally, physically circuit-implemented PSIM (power simulation) simulations are carried out to validate the plane offset-boosted coexisting behaviors.
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This work was supported by the National Natural Science Foundation of China (Grant Nos. 51777016, 51607013, 61601062 & 61801054).
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Bao, H., Chen, M., Wu, H. et al. Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system. Sci. China Technol. Sci. 63, 603–613 (2020). https://doi.org/10.1007/s11431-019-1450-6
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DOI: https://doi.org/10.1007/s11431-019-1450-6