J-J型方程中的吸引力及其Hausdorff维数

Attractor and Its Hausdorff Dimensionin the Equation of J-J Type

该文从计算的角度研究了J—J型方程中的吸引子,通过对lyapunov指数的计算,根据森肇的维数公式,对单个的方程,跟踪不变曲线的扭结,绘出了相应的吸引子之图及计算出Hausdorff维数的变化,对于耦合方程,固定某些参数,而变化其中一参数,也绘出了相应的吸引子之图及计算出其Hausdorff维数的变化．

Abstract;We researched the attractors in the equation of J-J type (single or compled) by computing. According to Shen Zhao's dimension-formula,we drew the figures on attractors and computed Hausdorff-dimension of Chaos-attractor in the single equation by computing Lyapunov-exponent when traced kinks in its fixed curve,and when the coupled system of J-J type,we also drew the figures on attractors and obseved variety of Hausdorff-dimension of its attractors.