项目名称: 一类Caputo型分数阶混沌系统及其同步研究
项目编号: No.11426217
项目类型: 专项基金项目
立项/批准年度: 2015
项目学科: 数理科学和化学
项目作者: 张凤荣
作者单位: 中国石油大学(华东)
项目金额: 3万元
中文摘要: 分数阶混沌系统是一类新型的混沌系统,由于分数阶微积分定义的特殊性以及系统中的多参数,使得它在复杂度上更优于经典的整数阶混沌系统,如分数阶混沌系统能够更好地掩盖信息来增强通信中的安全性;而实时混沌通信的实现必须要求接收和发送双方保持同步,因此,研究分数阶混沌系统及其同步有着非常重要的意义。本项目基于分数阶混沌系统的研究现状,拟结合分数阶微分系统的稳定性理论,进一步研究一类阶介于1、2之间的Caputo型分数阶混沌系统及其同步问题,并推导分数阶系统产生混沌的阶的范围。
中文关键词: 分数阶Chua混沌系统;Caputo导数;稳定性理论;同步;
英文摘要: The fractional chaotic system is a new chaotic system, and it is better than integer order chaotic system in complexity because of the particularity about the definitions of fractional calculus and multiple parameters in system. For example, the fractional chaotic system can better mask information to increase security, while the sender and receiver should be synchronous during the implementation of communication based on chaos. So, it is very useful for studying fractional chaotic system and its synchronization. Based on the development of fractional chaotic system and its synchronization,together with the stability theory of fractional differential system, this project will further study a class of Caputo type fractional chaotic systems with orders lying in (1,2) and their synchronization. Furthermore, the order scales which the corresponding fractional systems can lead to chaotic behavior will be also derived.
英文关键词: Fractional Chua chaotic systems;Caputo derivative;Stability theory;Synchronization;