基于Colpitts振荡器模型的网格涡卷混沌系统

Grid-scroll Chaotic System Based on Colpitts Oscillator Model

为了在3阶Colpitts振荡器模型框架下获得网格涡卷混沌吸引子,基于混沌吸引子形成机理,提出了通过引入2个单位锯齿波函数改造模型方程生成网格涡卷混沌系统的方法,使改造后的3维系统形成网格分布的指数2平衡点,从而获得了(2M+1)×(2N+1)网格涡卷混沌吸引子。采用常规的动力学分析方法,研究了该系统的动力学特性,并作离散化处理后基于微控制器进行了数字电路实现和相应的实验验证,实验输出与数值仿真结果一致,由此说明了在Colpitts振荡器模型框架下生成网格涡卷混沌吸引子的可行性和实现性。

To obtain grid-scroll chaotic attractor under the frame of the three-order Colpitts oscillator model,based on the formation mechanism of chaotic attractor,an approach for generating a grid-scroll chaotic system was presented by introducing two unit sawtooth wave functions to modify the model equations from which the index-2 equilibrium points with grid distribution can be formed by the modified three-dimensional system and a（2M＋1）×（2N＋1）-grid scroll chaotic attractor was evolved.By using conventional dynamical analysis methods,the dynamical behaviors of the proposed system were analyzed.With the help of discretization,digital circuit implementation and corresponding experimental verification were performed based on a microcontroller.The experimental outputs were similar to those of numerical simulations,from which the feasibility and realizability of the generating grid scroll chaotic attractor under the frame of Colpitts oscillator model were illustrated.