| [1] BENETTIN G,GALGANI L,GIORGILLI A,et al.Lyapunov Characteristic Exponents for Smooth Dynamical Systems and for Hamiltonian Systems;A Method For Computing All of Them.Part 1:Theory[J].Meccanica,1980,15(1):9-20.[2] LAI D,CHEN G.Statistical Analysis of Lyapunov Exponents from Time Series:A Jacobian Approach[J].Mathematical and Computer Modelling,1998,27(7):1-9.[3] UDWADIA F E,VON BREMEN H F.An Efficient and Stable Approach for Computation of Lyapunov Characteristic Exponents of Continuous Dynamical Systems[J].Applied Mathematics and Computation,2001,121(2):219-259.[4] UDWADIA F E,VON BREMEN H F.Computation of Lyapunov Characteristic Exponents for Continuous Dynamical Systems[J].Zeitschrift FüR Angewandte Mathematik Und Physik ZAMP,2002,53(1):123-146.[5] 张宾.Lyapunov特性指数的算法研究及其在弱信号混沌检测中的应用[D].吉林:吉林大学,2002.[6] 宋春云.最大Lyapunov特性指数在微弱信号检测中的应用[J].声学技术，2007,26(1):126-129.[7] 金天,张骅.基于统计方法的混沌Duffing振子弱信号检测与估计[J].中国科学:信息科学，2011,41(10):1 184-1 199.[8] 李琳,刘春刚,石硕,等.基于混沌振子和Lyapunov指数的微弱信号检测方法[J].黑龙江大学学报:自然科学版,2012,29(4):556-560.[9] 李月,杨宝俊.混沌振子系统(L-Y)与检测[M].北京:科学出版社,2005:83-101.[10] 王晓亮.基于多小波变换与Duffing振子的微弱信号检测与估计[D].哈尔滨:哈尔滨工程大学,2012.[11] DIECI L,RUSSELL R D,VAN VLECK E S.On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems[J].SIAM Journal on Numerical Analysis,1997,34(1):402-423.[12] MCDONALD E J,HIGHAM D J.Error Analysis of QR Algorithms for Computing Lyapunov Exponents[J].Electronic Transactions on Numerical Analysis,2001(12):234-251.[13] 杨淼,安建平,陈宁,等.基于Duffing混沌系统的频谱感知算法[J].北京理工大学学报,2011,31(3):329-332.[14] 杨红英,叶昊,王桂增,等.Duffing振子的Lyapunov指数与Floquet指数研究[J].仪器仪表学报,2008,29(5):927-931.[15] 刘海波,吴德伟,金伟,等.Duffing振子微弱信号检测方法研究[J].物理学报,2013,62(5):42-47. |
