一个具有调幅特性的分段线性混沌系统与微控制器实现

通过将Sprott-B混沌系统模型中的二次非线性项变为分段线性项,并引入系统参数和常数控制器,提出一个新分段线性混沌系统。对系统的对称性、耗散性、平衡点和分岔图等动力学特性进行了分析。研究结果表明,在不同参数下,系统能稳定运行于混沌、拟周期或周期轨道。常数控制器不影响系统的动力学状态,但对输出信号具有全局线性调幅作用。此外,在以改进的Euler算法对系统方程进行离散化后,通过微控制器MSP430F249进行了相应的实验验证,验证了仿真结果的正确性。

A Piecewise-Linear Chaotic System with the Characteristic of Amplitude Modulation and Its Microcontroller Implementation

By changing the quadratic nonlinear terms in Sprott-B chaotic system model to the piecewise-linear terms and introducing the system parameters and constant controller, a new piecewise-linear chaotic system is proposed. The dynamic characteristics of the system, such as symmetry, dissipativity, equilibrium point and bifurcation diagram are analyzed. The study results show that the system can operate stably on chaotic, quasi-periodic and periodic orbits. The constant controller does not affect the dynamic state of the system, but has the function of global linear amplitude modulation to the output signals. Moreover, with discretization to the system equations by improved Euler algorithm, the corresponding experimental verification is performed and the validity of the simulation results is verified through microcontroller MSP430F249.