%0 Journal Article
%T THE UNIVERSAL TRANSITION OF PLATEAU STRUCTURE OF LYAPUNOV EXPONENTS<br>
%A WANG BING-HONG
%A CHEN GUO-YI
%A GU GUO-QING
%A <br>
%J 中国物理 B
%D 1994
%I 
%X The universal transition of Lyapunov exponents between conservative limit and dissipa-tire limit of nonlinear dynamical system is studied. It is discovered numerically and proved analytically that for homogeneous dissipative two-dimensional maps, along the equal dissi-pation line in parameter space, the Lyapunov exponents of attractor orbits possess a plateau structure and strict symmetry about its plateau value, The ratios between the plateau width and the stable window width of period 1-4 orbits for Henon map are calculated. The result shows that the plateau structure of Lyapunov exponents remains invariant for the attractor orbits belonging to a period doubling bifurcation sequence. This fact reveals a new universal transition behavior between order and chaos when the dissipation of the dynamical system is weakened to zero.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=A08F96ADD968A3F3A88F402B9DEF918D&yid=3EBE383EEA0A6494&vid=38B194292C032A66&iid=9CF7A0430CBB2DFD&sid=E4BEEBB9A80BC67E&eid=1C3BB0F444F5E427&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=0