对流扩散方程奇怪吸引子关联维数的研究

STUDY ON CORRELATION DIMENSION OF CONVECTION-DIFFUSION EQUATION STRANGE ATTRACTOR

利用重构相空间的方法研究了洛伦兹奇怪吸引子的关联维数随取样间隔的变化。将对流扩散方程用截谱方法得到关于七个变量的非线性方程组，现察了其奇怪吸引子形状随瑞利数的变化，同时，计算其奇怪吸引子和洛伦兹奇怪吸引子的维数随瑞利数的变化。

In thes paper, a new sdriplified dynamic system to seven dimensions is obtained by applyingthe method of spectrum truncation to the conveetionditheion aeons. By reconstructing Phase space,we have Studied the conrrelation ddriensions of the Lorenz System and the new system and explored theirvariation wb the sampling time interval and samming time length. we have the also the variation ofthe chaotic attractor with the Rayleigh Numbed It is concluded that the dimension of the chaotic chaotic ofthe discrete System is dament for that of the chaotic chaotic of the continuous continuous. The less theSampling time interval, the more approximate the discrete System to the continuous continuous. So whenapplying methed of Phase space reconstruction to recover the original dynot system, we should paypreat attention to the choice of Sampling time interval, sampling time length and other parameters.