一个五阶超混沌电路系统的混沌控制

基于无反馈控制方法研究超混沌电路系统的混沌控制。通过稳定性分析和数值计算,表明系统存在两个不稳定的鞍点,分岔图和特定区域的相图和时序图进一步证明了系统存在超混沌行为。采用两种无反馈方法对系统的超混沌行为进行控制,结果表明,当控制频率和控制幅值选取在合适范围时,两种方法均能使系统由超混沌态控制到二周期和四周期态,但是两种方法的控制幅值和控制频率不同,得到的可控区域也不同。此研究证明了超混沌电路系统的可控性。

调整一类部分线性混沌系统输出的实用方案

利用部分线性混沌系统耦合后内在的投影同步性质对耦合响应系统的状态输出进行反馈控制 ,得到与驱动系统相位一致 (或反相 ) ,振幅成比例的混沌输出信号。该方案所需控制代价较小 ,为设计任意功率输出的混沌信号源提供了理论依据 ,在利用混沌电路系统进行保密通信方面有着极大的应用前景 ;仿真实例进一步表明了控制方案的有效性。

基于FPGA的新型五阶超混沌吸引子的实现

基于五阶段超混沌电路系统、数字化处理技术,通过对系统的连续时间状态方程进行离散化处理和变量比例变换,用FPGA技术硬件实现超混沌电路系统方程中的混沌吸引子;给出了实现混沌吸引子的FPGA技术,指出了硬件实现的方法,展示了实验结果,可以为高阶混沌电路系统的设计与实现提供了一条切实可行的途径,同时该技术可以应用在混沌保密通信中.

Dynamics and circuit implementation of three simplified chaotic systems

To improve the performance of chaotic secure communication,three simplified chaotic systems with one variable parameter were investigated.Basic properties were analyzed including symmetry,dissipation and topological structure.Complex dynamical behaviors of the systems including chaos and periodic orbits were verified by numerical simulations,Lyapunov exponents and bifurcation diagrams.Interestingly,the three systems were integrated in a common circuit,and their dynamical behaviors were easily observed by adjusting regulable resistors R28,R14 and R17,respectively,and the relations between the variable resistor and the system parameter were deduced.The circuit experiment results agree well with the simulation results.Finally,a secure communication scheme based on chaos shift keying(CSK) was presented,which lays an experiment foundation for chaotic digital secure communication.