华南理工大学学报（自然科学版）
華南理工大學學報（自然科學版）
화남리공대학학보（자연과학판）
JOURNAL OF SOUTH CHINA UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE EDITION)
2009年
10期
5-10
,共6页
基频变换%不可预测性%回归频度%周期轨道%混沌
基頻變換%不可預測性%迴歸頻度%週期軌道%混沌
기빈변환%불가예측성%회귀빈도%주기궤도%혼돈
fundamental frequency transformation%unpredictability%regression frequency%periodic orbit%chaos
文中基于混沌吸引子周期轨道理论的频域分析概念和矩阵分析原理,提出了一种混沌系统基波频率变换方法.基于该方法对Lorenz和Chua系统分别进行了不同基频的硬件电路参数设计,并对其产生的信号频谱进行了测试,实验结果验证了此基频变换方法的正确性.文中还讨论了混沌系统不可预测性的估计算法,提出了回归频度的改进计算式,并对所设计的3 kHz基频的Lorenz和Chua电路的不可预测性强弱进行了比较分析,结果表明所提出的改进计算式提高了不同混沌系统不可预测性强弱的评估准确度.
文中基于混沌吸引子週期軌道理論的頻域分析概唸和矩陣分析原理,提齣瞭一種混沌繫統基波頻率變換方法.基于該方法對Lorenz和Chua繫統分彆進行瞭不同基頻的硬件電路參數設計,併對其產生的信號頻譜進行瞭測試,實驗結果驗證瞭此基頻變換方法的正確性.文中還討論瞭混沌繫統不可預測性的估計算法,提齣瞭迴歸頻度的改進計算式,併對所設計的3 kHz基頻的Lorenz和Chua電路的不可預測性彊弱進行瞭比較分析,結果錶明所提齣的改進計算式提高瞭不同混沌繫統不可預測性彊弱的評估準確度.
문중기우혼돈흡인자주기궤도이론적빈역분석개념화구진분석원리,제출료일충혼돈계통기파빈솔변환방법.기우해방법대Lorenz화Chua계통분별진행료불동기빈적경건전로삼수설계,병대기산생적신호빈보진행료측시,실험결과험증료차기빈변환방법적정학성.문중환토론료혼돈계통불가예측성적고계산법,제출료회귀빈도적개진계산식,병대소설계적3 kHz기빈적Lorenz화Chua전로적불가예측성강약진행료비교분석,결과표명소제출적개진계산식제고료불동혼돈계통불가예측성강약적평고준학도.
In this paper, first, a method of fundamental frequency transformation for chaotic systems is proposed based on the concept of frequency domain analysis in the periodic orbit theory of chaotic attractors and on the matrix principle. Then, by using this method, Lorenz and Chua circuits are realized with different fundamental frequencies, and the corresponding frequency spectra are tested. Moreover, some experiments are carried out to verify the correctness of the proposed method, and an unpredictability estimation algorithm of chaotic systems is discussed. Finally, an improved formula for calculating the regression frequency is deduced. The proposed formula is also used to compare the unpredictability between Lorenz and Chua circuits with the same fundamental frequency of 3 kHz. The results indicate that the presented formula greatly improves the unpredictability estimation accuracy of different chaotic systems.
