ON THE COMPLEX SEPARATRICES OF SOME STANDARD-LIKE MAPS

被引：13

作者：

SURIS, YB ^{[1
]}

机构：

[1] UNIV BREMEN,CTR COMPLEX SYST & VISUALIZAT,POSTFACH 330440,D-28334 BREMEN,GERMANY

来源：

NONLINEARITY | 1994年 / 7卷 / 04期

关键词：

D O I：

10.1088/0951-7715/7/4/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new method for studying asymptotic behaviour of complex separatrices of some symplectic maps. Our approach gives an alternative method (as opposed to iterating the maps) for computing some constants to measure the splitting of separatrices. Details are presented for semistandard and cubic standard-like maps.

引用

页码：1225 / 1236

页数：12

共 9 条

[1] Gelfreich V. G., 1991, Chaos, V1, P137, DOI 10.1063/1.165823
[2] Gelfreich V. G., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P353, DOI 10.1142/S0218127492000343
[3] GELFREICH VG, 1991, PROBL MATH PHYS, P108
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HAKIM, V
MALLICK, K
[J]. NONLINEARITY, 1993, 6 (01) : 57 - 70
[5] Lazutkin V. F., 1989, ALGEBR ANAL, V1, P116
[6] LAZUTKIN VF, 1990, DOKL AKAD NAUK SSSR+, V313, P268
[7] SPLITTING OF SEPARATRICES FOR STANDARD AND SEMISTANDARD MAPPINGS
LAZUTKIN, VF
SCHACHMANNSKI, IG
TABANOV, MB
[J]. PHYSICA D, 1989, 40 (02): : 235 - 248
[8] LAZUTKIN VF, 1984, VINITI N637284 PREPR
[9] LAZUTKIN VF, 1991, RESURGENCE SEPARATRI

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