Title:
|
From transverse heteroclinic cycles to transverse homoclinic orbits (English) |
Author:
|
Battelli, Flaviano |
Author:
|
Fečkan, Michal |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
55 |
Issue:
|
3 |
Year:
|
2005 |
Pages:
|
295-305 |
. |
Category:
|
math |
. |
MSC:
|
34C37 |
MSC:
|
37B55 |
MSC:
|
37C29 |
idZBL:
|
Zbl 1116.34039 |
idMR:
|
MR2181007 |
. |
Date available:
|
2009-09-25T14:26:17Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133114 |
. |
Reference:
|
[1] BATTELLI F.-FEČKAN M.: Some remarks on the Melnikov function.Electon. J. Differentiаl Equаtions 13 (2002), 1-29. Zbl 1002.34034, MR 1884982 |
Reference:
|
[2] BATTELLI F.-FEČKAN M. : Subharmonic solutions in singular systems.J. Differential Equаtions 132 (1996), 21-47. Zbl 0887.34029, MR 1418498 |
Reference:
|
[3] COPPEL W. A. : Dichotomies in Stability Theory.Lecture Notes in Mаth. 629, Springer-Verlаg, New York, 1978. Zbl 0376.34001, MR 0481196 |
Reference:
|
[4] GUCKENHEIMER J.-HOLMES P. : Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.Spiinger-Verlаg, New York, 1983. Zbl 0515.34001, MR 0709768 |
Reference:
|
[5] PALMER K. J.: Exponential dichotomies and transversal homoclinic points.J. Differentiаl Equаtions 55 (1984), 225-256. Zbl 0508.58035, MR 0764125 |
Reference:
|
[6] PALIS J. P.-de MELO W.: Geometric Theory of Dynamical Systems: An Introduction.Springer-Verlag, Nеw York, 1982. MR 0669541 |
Reference:
|
[7] SMALE S.: Differentiable dynamical systems.Bull. Amеr. Math. Soc. 73 (1967), 747-817. Zbl 0202.55202, MR 0228014 |
. |