Design and Implementation of Grid Multiwing Butterfly Chaotic Attractors From a Piecewise Lorenz System
Design and Implementation of Grid Multiwing Butterfly Chaotic Attractors From a Piecewise Lorenz System
复制标题
DOI：
10.1109/tcsii.2010.2067792
复制
发表时间：
2010-10
期刊：
影响因子：
--
通讯作者：
Simin Yu;Jinhu Lu;Guanrong Chen;Xinghuo Yu
中科院分区：
文献类型：
--
作者：
Simin Yu;Jinhu Lu;Guanrong Chen;Xinghuo Yu
由于极限阈值效应，洛伦兹系统的内禀动力学被限制在相对于垂直轴的正半空间中。为了打破这种阈值效应，一个新的分段洛伦兹系统，配备了一个阶梯函数和一个甚至对称分段线性函数。新系统是自治的，但它可以产生各种网格多翼蝴蝶混沌吸引子，而不需要任何外部强迫。设计了基于模块的电路实现，并进行了实验验证和演示。
The intrinsic dynamics of the Lorenz system are confined in the positive half-space with respect to the vertical axis due to a limiting threshold effect. To break such a threshold effect, a novel piecewise Lorenz system is introduced, equipped with a staircase function and an even symmetric piecewise-linear function. The new system is autonomous, and yet, it can generate various grid multiwing butterfly chaotic attractors without requiring any external forcing. A module-based circuit is designed for implementation, with experiments reported for verification and demonstration.