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| 反结构切换混沌系统 |
| Anti-structure switchable chaotic system |
| 投稿时间：2019-06-08 |
| DOI： |
| 中文关键词: 混沌系统 切换函数 反结构 混沌电路 李雅普诺夫指数谱 分岔图 庞加莱截面 吸引子 |
| 英文关键词: chaotic system switching function anti-structure chaotic circuit Lyapunov exponential spectrum bifurcation diagram Poincaré section attractor |
| 基金项目:科技部中国-马其顿政府间科技合作项目；辽宁省教育厅科学技术研究项目(LZ2016006). |
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| 中文摘要: |
| 通过设计切换函数,将两个互为反结构的子混沌系统联合构成一个新的自动切换混沌系统。针对系统的耗散性、吸引子存在性、平衡点及其稳定性等进行理论分析,并采用Matlab软件绘制切换系统的吸引子相图、功率谱、分岔图、李雅普诺夫指数谱、庞加莱截面图等,证实其混沌特性。最后,基于混沌电路理论设计切换系统的模拟电路,采用Multisim软件运行该电路,并对虚拟示波器生成的吸引子进行实时观测,观测结果与理论分析和数值仿真结果相符,验证了该切换混沌系统的可实现性。 |
| 英文摘要: |
| By designing a special switching function, two chaotic subsystems with anti-structure were combined to form a novel self-switching chaotic system. Theoretical analysis of the system’s dissipation, existence of attractors, equilibrium points and their stabilities was carried out. Then the attractor phase diagrams, power spectra, bifurcation diagrams, Lyapunov exponential spectra and Poincaré sections of the switchable system were drawn by Matlab software to verify its chaotic property. Finally, an analog circuit of the system was designed based on chaotic circuit theory and run by Multisim software, and the attractor generated by virtual oscilloscope was observed in real time. The observed results agree well with the theoretical analysis and numerical simulation results, which confirms the realizability of the proposed switchable chaotic system. |
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