为了探索新混沌现象及其产生机制,从而便于更好地了解和应用混沌。通过混沌理论对一类新型混沌系统进行数学建模,发现它具有丰富的非线性动力学特性。利用非线性系统理论和数值仿真技术,研究了这类混沌系统的混沌吸引子及其维数、李雅普诺夫指数、初值敏感性、耗散性、分岔图和全局吸引域等性质,丰富和发展了混沌理论。此混沌系统具有广阔的应用潜力,可以用于保护数据安全和图像加密。
In order to explore new chaos phenomenon and its producing mechanism, it is convenient for us to understand and apply chaos. A new kind of chaotic system is constructed by using chaos theory and we find that this system has rich nonlinear dynamic properties. Using nonlinear system theory and numerical simulation techniques, we study the attractors of this system and their dimensions, Lyapunov exponent, initial sensitivity, dissipation, bifurcation plot and global attraction domain and this paper enriches and develops chaos theory. This chaotic system has potential applications and can be used to protect data security and image encryption.
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