期刊文献+

接近零的最大Lyapunov指数的计算 被引量:2

METHOD FOR CALCULATING THE FIRST LYAPUNOV EXPONENT WHICH IS CLOSE TO ZERO
下载PDF
导出
摘要 通过对一耦合映射系统的伸长数的计算 ,揭示在计算绝对值很小的最大Lyapunov指数λ1时收敛特别慢的原因 .改进了计算λ1的方法 ,提高了λ1的收敛效率 。 Based on the analysis of the “stretching numbers”, the difficulty of convergence in computing extremely small largest positive Lyapunov exponents is elucidated. The transient process with large explosion rate is responsible for this difficulty. The convergence rate can be greatly enhanced by eliminating sufficiently long transient.
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第6期762-764,共3页 Journal of Beijing Normal University(Natural Science)
基金 国家自然科学基金资助项目(19675008)
关键词 LYAPUNOV指数 伸长数 耦合映射系统 Lyapunov exponents stretching numbers coupled map system
  • 相关文献

参考文献5

  • 1邹健,胡岗.从三维环面到混沌[J].北京师范大学学报(自然科学版),1987,23(2):17-23. 被引量:4
  • 2郝柏林.分岔、混沌、奇怪吸引子、湍流及其他[J].物理学进展,1983,3:329-329.
  • 3Parker T S,Practical numerical algorithms for chaotic systems,1989年
  • 4邹健,北京师范大学学报,1987年,23卷,2期,17页
  • 5郝柏林,物理学进展,1983年,3卷,3期,329页

共引文献12

同被引文献9

  • 1Blair S C, Cook N G. Analysis of compressive fracture in rock using statistical techniques(part Ⅰ): a non-linear rule based International Journal of Rock Mechanics and Mining Science,35(7): 837- 848.
  • 2Blair S C, Cook N G. Analysis of compressive fracture in rock using statistical techniques(part II)macroscopic deformation[J].effect of micro scale heterogeneity on International Journal of Rock Mechanics and Mining Science, 1998, 35(7):849 - 861.
  • 3Rosenstein M T, Collins J J, De Luca C J. A practical method for calculating largest Lyapunov exponents from small data sets[J]. Physica D, 1993, 24(2):117-134.
  • 4Wolf A J, Swift B, Swinney H L, et al. Determining Lyapunov exponents from a time series[J]. Physica D, 1985, 16(3): 285 - 317.
  • 5WOLF A.Determining lyapunov exponents from a time series[J].Physical,1988,60:285-288.
  • 6ROSENSTEIN M T,COLLINS J J,et al.A practicalmethod for calculating largest Lyapunov exponents from small data sets[J].Physics D,1993,(65):117-134.
  • 7BLAIR S C,COOK N G.Analysis of compressive fracture in rock using statistical techniques:Part Ⅰ.A non-linear rule based model[J].International Journal of Rock Mechanics and Mining Science,1998,35(7):837-848.
  • 8杨杰,张道明,贾丽萍,赵惠.从熵概念到耗散结构理论[J].石家庄经济学院学报,1998,21(5):500-506. 被引量:10
  • 9马军海,陈予恕.混沌时序相空间重构的分析和应用研究[J].应用数学和力学,2000,21(11):1117-1124. 被引量:22

引证文献2

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部