Abstract This paper presents a novel electronic implementation based on a simple methodology to control the number of scrolls generated, by means of operational amplifiers and a single control parameter. Through the use of a Saturated Non Linear Function (SNLF) for the generation of a 9-scroll attractor, the number of scrolls is modified through a single parameter. In addition, the implemented system is also capable of generating a family of bistable behaviors. The phenomenon for the scroll generation, induced by a control parameter, is explained through the system equilibrium points. This methodology can be extended to system’s with higher number of scrolls, or systems with larger basins of attraction. The results shown have high potential application in secure communication systems, mobile surveillance devices, pseudo-random number generators and complex networks, among others.

中文翻译：

---

多卷轴生成的参数控制：电子实现和平衡分析

摘要 本文提出了一种新颖的电子实现，它基于一种简单的方法，通过运算放大器和单个控制参数来控制生成的卷轴数量。通过使用饱和非线性函数 (SNLF) 生成 9 卷吸引子，通过单个参数修改卷的数量。此外，所实现的系统还能够生成一系列双稳态行为。由控制参数引起的涡旋现象通过系统平衡点来解释。这种方法可以扩展到具有更多卷轴的系统，或具有更大吸引力盆的系统。显示的结果在安全通信系统、移动监控设备、