北京师范大学学报(自然科学版)
北京師範大學學報(自然科學版)
북경사범대학학보(자연과학판)
JOURNAL OF BEIJING NORMAL UNIVERSITY
1999年
1期
58-62
,共5页
冻结化随机图样模式%扰动%位置相关李雅普诺夫指数
凍結化隨機圖樣模式%擾動%位置相關李雅普諾伕指數
동결화수궤도양모식%우동%위치상관리아보낙부지수
frozen random pattern mode%perturbation%space-related Lyapunov exponent
为了描述耦合映象格子(CML)的冻结化随机图案模式,定义和计算了与格点位置相关的李雅普诺夫指数谱,并和由雅可比矩阵乘积计算的李雅普诺夫指数谱做了比较.对格点扰动传播过程的研究表明,这种李雅普诺夫指数谱能很好地描述耦合映象格子在随机化冻结图案模式下的时空动力学行为.
為瞭描述耦閤映象格子(CML)的凍結化隨機圖案模式,定義和計算瞭與格點位置相關的李雅普諾伕指數譜,併和由雅可比矩陣乘積計算的李雅普諾伕指數譜做瞭比較.對格點擾動傳播過程的研究錶明,這種李雅普諾伕指數譜能很好地描述耦閤映象格子在隨機化凍結圖案模式下的時空動力學行為.
위료묘술우합영상격자(CML)적동결화수궤도안모식,정의화계산료여격점위치상관적리아보낙부지수보,병화유아가비구진승적계산적리아보낙부지수보주료비교.대격점우동전파과정적연구표명,저충리아보낙부지수보능흔호지묘술우합영상격자재수궤화동결도안모식하적시공동역학행위.
The spatiotemporal dynamical behavior of frozen random pattern modes of coupled map lattice(CML) is investigated .The space-related Lyapunov exponent spectrum is defined and calculated from perturbations to each site for various perturb intensities and compared with that obtained from the products of Jacobean matrices.The diffusive process of a single site perturbation shows that the space-related Lyapunov exponent spectra can well characterize the spatiotemporal dynamic behavior of the frozen random pattern mode of CML.