An electronic implementation of a novel chaotic oscillator with quintic nonlinearity is proposed herein. Dynamical behaviors of the system are investigated using well‐known numerical simulations and analyses such as phase portraits, Lyapunov exponents, bifurcation diagrams, and basins of attraction. The chaotic circuit presents an inversion‐symmetry, and we show that it can exhibit some nonlinear phenomena specific to symmetric systems, such as symmetric bifurcations, symmetric attractors, coexisting symmetric bubbles, and coexisting symmetric attractors. Since symmetry is never perfect, some symmetry imperfections must be always assumed to be present. Thus, an external Direct Current (DC) voltage is introduced in order to highlight the influence of asymmetry on the dynamics of the chaotic oscillator. It is found that more complex nonlinear behaviors occur in the presence of symmetry breaking like asymmetric coexisting bifurcations, asymmetric attractors, coexisting asymmetric bubbles, and coexisting asymmetric attractors, to name a few. The control of multistability is also performed by using the so‐called linear augmentation scheme. Probe Simulation Program with Integrated Circuits Emphasis (Pspice) circuit simulations are carried out to verify the theoretical analyses. Furthermore, a chaos‐based image encryption is investigated using pseudorandom numbers generated by the proposed chaotic circuit and deoxyribonucleic acid (DNA) encoding technique.

中文翻译：

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使用具有可调节对称性的新型五次加扰电路进行图像加密

本文提出了具有五次非线性的新型混沌振荡器的电子实现。使用众所周知的数值模拟和分析研究系统的动力学行为，例如相图，Lyapunov指数，分叉图和吸引盆。混沌电路表现出反对称性，我们证明它可以表现出一些对称系统特有的非线性现象，例如对称分叉，对称吸引子，对称气泡并存和对称吸引子。由于对称性永远都不是完美的，因此必须始终假定存在某些对称性缺陷。因此，为了突出不对称性对混沌振荡器动力学的影响，引入了外部直流（DC）电压。发现，在对称破坏的存在下会发生更复杂的非线性行为，例如不对称并存的分叉，不对称吸引子，并存不对称气泡和不对称吸引子等。多稳定性的控制也通过使用所谓的线性增强方案来执行。带有集成电路重点的探针仿真程序（Pspice）进行了电路仿真，以验证理论分析。此外，使用拟议的混沌电路和脱氧核糖核酸（DNA）编码技术生成的伪随机数研究了基于混沌的图像加密。多稳定性的控制也通过使用所谓的线性增强方案来执行。带有集成电路重点的探针仿真程序（Pspice）进行了电路仿真，以验证理论分析。此外，使用拟议的混沌电路和脱氧核糖核酸（DNA）编码技术生成的伪随机数研究了基于混沌的图像加密。多稳定性的控制也通过使用所谓的线性增强方案来执行。带有集成电路重点的探针仿真程序（Pspice）进行了电路仿真，以验证理论分析。此外，使用拟议的混沌电路和脱氧核糖核酸（DNA）编码技术生成的伪随机数研究了基于混沌的图像加密。