%0 Journal Article
%T CALCULATION OF THE LARGEST LYAPUNOV EXPONENT IN THE DISCRETE DYNAMICAL SYSTEM WITH WAVELET ANALYSIS<br>利用小波分析计算离散动力系统的最大Lyapunov指数
%A LIU HAI-FENG
%A ZHAO YAN-YAN
%A DAI ZHENG-HUA
%A GONG XIN
%A YU ZUN-HONG
%A <br>刘海峰
%A 赵艳艳
%A 代正华
%A 龚欣
%A 于遵宏
%J 物理学报
%D 2001
%I 
%X The largest Lyapunov exponent is an important parameter of detecting and characterizing chaos produced from a dynamical system. Based on simulative calculation, it has been found that the largest Lyapunov exponent of the small scale wavelet transform modulus of a discrete dynamical system is the same as the system's. At the same time, the calculated results show that calculating the largest Lyapunov exponent with the small scale wavelet transform modulus can efficiently eliminate the effect of strong large scale noiss because of the high pass filtering characteristic of small scale wavelet transform.
%K chaos
%K Lyapunov exponent
%K wavelet analysis<br>混沌
%K Lyapunvo指数
%K 小波分析
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=3409E5775063D214&yid=14E7EF987E4155E6&vid=771152D1ADC1C0EB&iid=59906B3B2830C2C5&sid=B8044790BFEC0B0A&eid=A113722260CE9028&journal_id=1000-3290&journal_name=物理学报&referenced_num=9&reference_num=19