Various chaotic systems have been studied recently. They can show many different dynamics and features. A memristive 4D chaotic oscillator with no equilibria, multistability, and hidden attractor is presented in this paper. Chaotic attractor of the proposed oscillator is discussed, and its dynamical behaviors are investigated. The oscillator does not have any equilibrium. In addition, the phenomena of multistability is studied in this system. It shows chaotic dynamics and periodic windows, verified by Lyapunov exponents’ diagram. Image encryption is studied as an engineering application of the system. The proposed system has a proper performance in encryption. Finally, this memristive chaotic system is realized using FPGA.

最近已经研究了各种混沌系统。它们可以显示许多不同的动态和功能。本文提出了一种无平衡，多稳定性和隐吸引子的忆阻4D混沌振荡器。讨论了所提出的振荡器的混沌吸引子，并研究了其动力学行为。振荡器没有任何平衡。另外，在该系统中还研究了多稳定性现象。它显示了混沌动力学和周期性窗口，并通过李雅普诺夫指数图进行了验证。图像加密已作为系统的工程应用进行了研究。所提出的系统在加密方面具有适当的性能。最后，利用FPGA实现了忆阻混沌系统。