Extreme multistability is the coexistence of a large number of attractors which can be reached by varying initial conditions. In this paper we show how this fascinating phenomenon can be used for secure communication. The main advantage of the communication system based on extreme multistability over a conventional chaos-based communication system is its exceptionally high security. The proposed system consists of two identical six-order oscillators; one in the transmitter and another one in the receiver, each exhibiting the coexistence of a large number of chaotic attractors. The oscillators are synchronized using a private channel through one of the system variables, while the information is transmitted via a public channel through another variable. The information is encrypted by varying the initial condition of one of the state variables in the transmitter using a chaotic map, adhering message packages in a staggered form to the coexisting attractors within the same time series of another state variable, which leads to switching among the coexisting chaotic attractors. To ensure communication security, the duration of the packages is shorter than synchronization time, so that synchronization attacks are ineffective.

极端的多重稳定性是可以通过改变初始条件来达到的大量吸引子的共存。在本文中，我们展示了如何将这种引人入胜的现象用于安全通信。与传统的基于混沌的通信系统相比，基于极端多稳定性的通信系统的主要优势在于其异常高的安全性。拟议的系统由两个相同的六阶振荡器组成。一个在发射器中，另一个在接收器中，每个都表现出大量混沌吸引子的共存。振荡器通过一个系统变量使用专用通道进行同步，而信息则通过另一个变量通过公共通道进行传输。通过使用混沌映射图更改发送器中状态变量之一的初始条件，对信息进行加密，将消息包以交错的形式粘贴到另一个状态变量的相同时间序列内的共存吸引子中，从而导致在状态变量之间进行切换。共存的混沌吸引子。为了保证通信的安全性，软件包的持续时间短于同步时间，因此同步攻击无效。