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.

中文翻译：

---

具有平衡线的新型隐藏吸引子超混沌忆阻器振荡器

本文提出了一种新型的超混沌忆阻器振荡器。研究了所提出系统的不同动力学性质，如耗散性，平衡点及其稳定性，Lyapunov指数和Kaplan-Yorke尺度。系统具有一条平衡线。因此，它属于具有隐藏吸引子的系统的类别。对平衡线稳定性的研究表明，该线在某些间隔内是稳定的，而在另一些间隔内是不稳定的。系统的分叉分析揭示了在一定范围的参数中几个共存的吸引子，这表明多重稳定性。研究了所提出系统的各种共存吸引子。