Abstract
In this paper, a new hyperchaotic memristor oscillator is proposed. Different dynamical properties of the proposed system such as dissipativity, equilibrium points, and their stabilities, Lyapunov exponents and Kaplan-Yorke dimension are investigated. The system has a line of equilibria. Thus it belongs to the category of systems with hidden attractors. Investigation of the stability of the line of equilibria shows that the line is stable in some intervals and unstable in some others. Bifurcation analysis of the system reveals several coexisting attractors in some range of parameters which indicates multistability. Various coexisting attractors of the proposed system are studied.
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Feng, Y., Rajagopal, K., Khalaf, A.J.M. et al. A new hidden attractor hyperchaotic memristor oscillator with a line of equilibria. Eur. Phys. J. Spec. Top. 229, 1279–1288 (2020). https://doi.org/10.1140/epjst/e2020-900097-0
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DOI: https://doi.org/10.1140/epjst/e2020-900097-0