For further increasing the complexity of chaotic attractors, a new method for generating Mirror Symmetry Composite Multiscroll Chaotic Attractors (MSCMCA) is proposed. We take the Lorenz system as an example to explain the mechanism of the method. Firstly, by varying the signs and magnitudes of the nonlinear terms, the Lorenz system generates symmetrical attractors and different-magnitude attractors, respectively. Secondly, a modified Lorenz system is constructed by imposing several unified multilevel-logic pulse signals to the Lorenz system. The new system generates a novel chaotic attractor consisting of two pairs of different-magnitude symmetrical attractors. By adjusting the parameters of the pulse signals, the modified Lorenz system can also be controlled to generate novel grid multiscroll chaotic attractors, namely MSCMCA. Several dynamical behaviors of the new system are shown by equilibria analysis and Lyapunov exponent spectrum. Moreover, the method can be applied to other chaotic systems. Finally, a circuit of the modified Lorenz system is designed by Multisim software, and the simulation result proves the effectiveness of the method.

中文翻译：

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一种生成镜像对称复合多卷混沌吸引子的简单方法

为了进一步增加混沌吸引子的复杂性，提出了一种生成镜像对称复合多滚动混沌吸引子（MSCMCA）的新方法。我们以洛伦兹系统为例来说明该方法的机理。首先，通过改变非线性项的符号和大小，洛伦兹系统分别生成对称吸引子和不同大小的吸引子。其次，通过对洛伦兹系统施加多个统一的多电平逻辑脉冲信号，构建了一个改进的洛伦兹系统。新系统产生了一种新颖的混沌吸引子，由两对不同大小的对称吸引子组成。通过调整脉冲信号的参数，还可以控制改进的 Lorenz 系统产生新颖的网格多卷混沌吸引子，即 MSCMCA。平衡分析和李雅普诺夫指数谱显示了新系统的几个动力学行为。此外，该方法可以应用于其他混沌系统。最后，利用Multisim软件设计了改进的Lorenz系统的电路，仿真结果证明了该方法的有效性。