Lin's method for discrete dynamical systems

被引：14

作者：

Knobloch, J ^{[1
]}

机构：

[1] Tech Univ Ilmenau, Dept Math, D-98684 Ilmenau, Germany

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2000年 / 6卷 / 05期

关键词：

Lin's method; discrete dynamical system; homoclinic point; shift dynamics;

D O I：

10.1080/10236190008808247

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider discrete systems having a homoclinic orbit. To study particular orbits nearby this distinguished one we carry forward the ideas of Lin's method to discrete systems. We apply the results on Poincare-maps associated with periodically forced systems as well as on discrete systems with transversal homoclinic points and homoclinic points with quadratic tangencies, respectively.

引用

页码：577 / 623

页数：47

共 13 条

[1] Knobloch, 1997, J DYN DIFFER EQU, V9, P427, DOI DOI 10.1007/BF02227489
[2] KNOBLOCH J, 1997, M1397 TU ILM
[3] KNOBLOCH J, UNPUB LINS METHOD DE
[4] KNOBLOCH J, UNPUB DYNAMICS NEAR
[5] USING MELNIKOV METHOD TO SOLVE SILNIKOV PROBLEMS
LIN, XB
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 116 : 295 - 325
[6] Palmer K. J., 1988, DYNAMICS REPORTED, V1, P265
[7] EXPONENTIAL DICHOTOMIES AND TRANSVERSAL HOMOCLINIC POINTS
PALMER, KJ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 55 (02) : 225 - 256
[8] SANDSTEDE B, 1993, 7 IAAS
[9] HOMOCLINIC POINTS NEAR DEGENERATE HOMOCLINICS
SCHALK, U
KNOBLOCH, J
[J]. NONLINEARITY, 1995, 8 (06) : 1133 - 1141
[10] HOMOCLINIC PERIOD BLOW-UP IN REVERSIBLE AND CONSERVATIVE-SYSTEMS
VANDERBAUWHEDE, A
FIEDLER, B
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1992, 43 (02): : 292 - 318

← 1 2 →