Break-Up of Three-Frequency KAM Tori: Determination of the Critical Parameters  

作　　者：ZHOU Ji-Lin Bam-Bi HU SUN Yi-Sui 周济林;胡斑比;孙义燧(Department of Astronomy and Centre of Astronomy and Astrophysics in Eastern China,Nanjing University,Nanjing 210093;Department of Physics and Centre for Nonlinear Studies,Hong Kong Baptist University,Hong Kong;Department of Physics,University of Houston,Houston TX 77204 USA)

机构地区：[1]Department of Astronomy and Centre of Astronomy and Astrophysics in Eastern China,Nanjing University,Nanjing 210093 [2]Department of Physics and Centre for Nonlinear Studies,Hong Kong Baptist University,Hong Kong [3]Department of Physics,University of Houston,Houston TX 77204 USA

出　　处：《Chinese Physics Letters》2001年第6期734-736,共3页中国物理快报（英文版）

基　　金：Supported by Hong Kong Baptist University Faculty Research Grants,Hong Kong Grant Council Grants;the National Natural Science Foundation of China under Grant Nos.19903001 and 19633010;the Special Funds for Major State Basic Research Projects.

摘　　要：With a four-dimensional symplectic map we study numerically the break-up of three-frequency Kolmogorov-Arnold-Moser(KAM)tori.The locations and stabilities of a sequence of periodic orbits,whose winding numbers approach the irrational winding number of the KAM torus,are examined.The break-up of quadratic frequency tori is characterized as the exponential growth of the residue means of the convergent periodic orbits.Critical parameters of the break-up of tori with different winding numbers are calculated,which shows that the spiral mean torus is the most robust one in our model.

关 键 词：KAM PERIODIC CONVERGENT 

分 类 号：O17[理学—数学]