Abstract

In this paper, a new memristive diode bridge-based RC hyperjerk circuit is proposed. This new memristive hyperjerk oscillator (MHO) is obtained from the autonomous 4-D hyperjerk circuit (Leutcho et al. in Chaos Solitons Fractals 107:67–87, 2018) by replacing the nonlinear component (formed by two antiparallel diodes) with a first order memristive diode bridge. The circuit is described by a fifth-order continuous time autonomous (‘elegant’) hyperjerk system with smooth nonlinearities. The dynamics of the system is investigated in terms of equilibrium points and stability, phase portraits, bifurcation diagrams and two-parameter Lyapunov exponents diagrams. The numerical analysis of the model reveals interesting behaviors such as period-doubling, chaos, offset boosting, symmetry recovering crisis, antimonotonicity (i.e. concurrent creation and destruction of periodic orbits) and several coexisting bifurcations as well. One of the most attractive features of the new MHO considered in this work is the presence of several coexisting attractors (e.g. coexistence of two, three, four, five, six, seven, or nine attractors) for some suitable sets of system parameters, depending on the choice of initial conditions. Accordingly, the distribution of initial conditions related to each coexisting attractor is computed to highlight different basins of attraction. Laboratory experimental measurements are carried out to verify the theoretical analysis.

中文翻译：

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在新型的基于忆阻二极管桥的超冲击电路中，周期加倍，多个吸引子共存和偏置升压的逆转

摘要

本文提出了一种新的基于忆阻二极管桥的RC超冲击电路。这种新的忆阻hyperjerk振荡器（MHO）从自主4- d hyperjerk电路（Leutcho等人获得的混沌孤子分形107：67-87，2018），用一阶忆阻二极管电桥代替非线性组件（由两个反并联二极管组成）。该电路由具有平滑非线性的五阶连续时间自主（“优雅”）超冲击系统描述。根据平衡点和稳定性，相图，分叉图和两参数Lyapunov指数图研究了系统的动力学。该模型的数值分析揭示了有趣的行为，例如周期倍增，混沌，偏移增强，对称性恢复危机，反单调性（即周期性轨道的同时创建和破坏）以及几个共存的分叉。这项工作中考虑的新MHO最吸引人的特征之一是存在多个并存的吸引子（例如，两个，三个，四个，五个，六个，7个或9个吸引子），取决于初始条件的选择，以获取一些合适的系统参数集。因此，计算与每个共存吸引子有关的初始条件的分布以突出显示不同的吸引盆地。进行实验室实验测量以验证理论分析。