摘要
目的研究混沌的物理属性。方法根据混沌理论,利用LC振荡器产生和经过RC移相器移相的正弦波合成混沌分岔相图。结果应用模拟电路的非线性系统来模拟混沌,研制成混沌图像投影演示仪。结论应用该仪器可以分析混沌现象具有的性质,并展现了混沌中的倍周期分叉、单吸引子和双吸引子等物理现象。
Aim In order to study the characteristics of chaos. Methods Using phase image and bifurcation are composed of two kinds of sine wave that are produced by LC oscillator and RC phase shifter respectively, the phenomenon of chaos is simulated based on the chaos theory. Results By applying the nonlinear simulating circuit system, the chaotic-image simulating instrument is made. Conclusion The characteristic of chaos are analyzed by using the instrument; the single attractor, double attractor and period-doubling bifurcation are exhibited.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第5期515-518,共4页
Journal of Northwest University（Natural Science Edition）
基金
国家自然科学基金资助项目(40174032)
长安大学基金资助项目(2004J01)
关键词
混沌
投影仪
相图
倍周期分岔
吸引子
chaos
projector
phase image
period-doubling bifurcation
attractor
