摘要
对四阶Jerk系统中通过引入具有多个线性分段的锯齿波函数实现多涡卷混沌吸引子的机理进行了分析。在MATLAB中分别采用M语言和SIMULINK平台实现了多涡卷四阶Jerk系统的数值仿真,设计了多涡卷四阶Jerk电路,在EWB电路仿真软件中搭建了电路并进行了相关电路仿真。理论分析、数值仿真及电路仿真的相关结果一致,进一步证实了多涡卷混沌吸引子的存在。多涡卷混沌吸引子的存在,为混沌在信息安全中的应用提供了理论基础。
The mechanism of generating multi-scroll chaotic attractors which can be obtained by introducing sawtooth function based on four-order Jerk system is analyzed. Some numerical simulations of multi-scroll chaotic attractors are realized by M language and SIMULINK platform in MATLAB. A novel multi-scroll four-order Jerk circuit is designed. The circuit is built on Electronics Workbench （EWB） platform, and circuit Simulation is experimented. Theoretical analysis, numerical simulation results and circuit simulation results are agreed, which confirmed the multi-scroll chaotic attractors exist. The existing of multi-scroll chaotic attractors provides the theoretical basis for the application of chaos in information security.
出处
《井冈山大学学报（自然科学版）》
2013年第4期59-63,共5页
Journal of Jinggangshan University (Natural Science)
基金
江西省教育厅科技项目(GJJ13542)
井冈山大学自然科学基金项目(JZB1203)
关键词
四阶Jerk系统
锯齿波函数
多涡卷混沌吸引子
仿真
fourth-order Jerk system
sawtooth nonlinear, function
multi-scroll chaotic attractor
simulation
