| Title:
|
Higher dimensional Melnikov mappings (English) |
| Author:
|
Fečkan, Michal |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
75-83 |
| . |
| Category:
|
math |
| . |
| MSC:
|
37B55 |
| MSC:
|
37C29 |
| MSC:
|
37D45 |
| idZBL:
|
Zbl 0947.37010 |
| idMR:
|
MR1804476 |
| . |
| Date available:
|
2009-09-25T11:35:01Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136743 |
| . |
| Reference:
|
[1] BATTELLI F.-LAZZARI C.: Exponential dichotomies, heteroclinic orbits, and Melnikov functions.J. Differential Equations 86 (1990), 342-366. Zbl 0713.34055, MR 1064015 |
| Reference:
|
[2] FECKAN M.: Note on a local invertibility.Math. Slovaca 46 (1996), 285-289. Zbl 0896.58005, MR 1427014 |
| Reference:
|
[3] GRUENDLER J.: Homoclinic solutions for autonomous dynamical systems in arbitrary dimensions.SIAM J. Math. Anal. 23 (1992), 702-721. MR 1158829 |
| Reference:
|
[4] GRUENDLER J.: Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations.J. Differential Equations 122 (1995), 1-26. Zbl 0840.34045, MR 1356127 |
| Reference:
|
[5] GRUENDLER J.: The existence of transverse homoclinic solutions for higher order equations.J. Differential Equations 130 (1996), 307-320. Zbl 0863.34052, MR 1410890 |
| Reference:
|
[6] PALMER K. J.: Exponential dichotomies and transversal homoclinic points.J. Differential Equations 55 (1984), 225-256. Zbl 0508.58035, MR 0764125 |
| . |
