多涡卷高阶广义Jerk电路

Multi-scroll high-order general Jerk circuits

提出在高阶Jerk系统中产生多涡卷混沌吸引子的一种电路设计与实现新方法.根据高阶Jerk方程,构造了一组具有参数控制的阶跃函数序列,在此基础上设计了产生多涡卷混沌吸引子的高阶广义Jerk电路.用这种方法设计电路的一个主要特点是通用性强,基于一种广义的电路形式,通过双掷开关切换,可分别实现多涡卷四阶和五阶两种不同类型的高阶Jerk电路,并由联动开关控制产生涡卷的数量.给出了在四阶和五阶Jerk电路中产生多涡卷混沌吸引子的计算机模拟和硬件实验结果.

This paper proposes a novel circuit design and implementation approach of generating multi-scroll chaotic attractors from high-order Jerk systems. According to high-order Jerk equations, multi-scroll high-order general Jerk circuits are designed by constructing a sequence of step functions with parameter control. The prominent feature for this kind of circuit design method is self-unified and in a sense universal. Based on the uniform circuit, both forth-order and fifth-order general Jerk circuits can be realized with the switching control. The switch set is also used to control the number of scrolls. Finally, the computer simulations and hardware implementations are given to generate multi-scroll chaotic attractors on the forth-order and fifth-order general Jerk circuits.