摘要
为提高混沌信号源的稳定性和精确性,提出了数字实现混沌系统的方法。在综合新提出的三维混沌系统和四维超混沌系统的基础上,通过将它们的微分方程转化为积分方程,采用离散化累积运算方法,建立了基于数字实现的离散模型。在Matlab/Simulink下数值仿真观察到了系统参数变化时动力学行为的演变过程,并基于ATmega128L微控制器芯片实现了相应的混沌和超混沌系统。仿真和实验结果表明了混沌和超混沌现象的存在性以及数字实现的可行性。
To improve the stability and accuracy of chaos signal source,an approach to digitally implementing chaotic systems is proposed.On the basis of synthesizing the proposed three-dimensional chaotic system and four-dimensional hyperchaotic system,by transforming their differential equations to integral equations and using discrete cumulative computing method,the digital realization based discrete models are established.The dynamical evolving routes with the variations of system parameters are investigated by numerical simulations under Matlab/Simulink,and the corresponding chaotic and hyperchaotic systems are implemented based on ATmega128L microcontroller chip.The results from simulations and experiments verify the existence of chaotic and hyperchaotic behaviors as well as the feasibility of digital realization.
出处
《计算机工程与设计》
CSCD
北大核心
2010年第15期3404-3407,共4页
Computer Engineering and Design
基金
江苏省自然科学基金项目(BK2009105)
航空科学基金项目(2009ZC52038)
关键词
混沌系统
模型
吸引子
数字实现
微控制器
chaotic system
model
attractor
digital realization
microcontroller
