中国物理B ›› 1994, Vol. 3 ›› Issue (9): 653-666.doi: 10.1088/1004-423X/3/9/002
汪秉宏1, 陈国义2, 顾国庆3
WANG BING-HONG (汪秉宏)abc, CHEN GUO-YI (陈国义)b, GU GUO-QING (顾国庆)bc
摘要: 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.
中图分类号: (Numerical simulations of chaotic systems)