Higher dimensional Melnikov mappings

Michal Fečkan

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 1, page 75-83
  • ISSN: 0139-9918

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Fečkan, Michal. "Higher dimensional Melnikov mappings." Mathematica Slovaca 49.1 (1999): 75-83. <http://eudml.org/doc/34488>.

@article{Fečkan1999,
author = {Fečkan, Michal},
journal = {Mathematica Slovaca},
keywords = {transversal homoclinic orbit; Melnikov mappings; periodic nonautonomous perturbations},
language = {eng},
number = {1},
pages = {75-83},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Higher dimensional Melnikov mappings},
url = {http://eudml.org/doc/34488},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Fečkan, Michal
TI - Higher dimensional Melnikov mappings
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 1
SP - 75
EP - 83
LA - eng
KW - transversal homoclinic orbit; Melnikov mappings; periodic nonautonomous perturbations
UR - http://eudml.org/doc/34488
ER -

References

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  1. BATTELLI F.-LAZZARI C., Exponential dichotomies, heteroclinic orbits, and Melnikov functions, J. Differential Equations 86 (1990), 342-366. (1990) Zbl0713.34055MR1064015
  2. FECKAN M., Note on a local invertibility, Math. Slovaca 46 (1996), 285-289. (1996) Zbl0896.58005MR1427014
  3. GRUENDLER J., Homoclinic solutions for autonomous dynamical systems in arbitrary dimensions, SIAM J. Math. Anal. 23 (1992), 702-721. (1992) MR1158829
  4. GRUENDLER J., Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations, J. Differential Equations 122 (1995), 1-26. (1995) Zbl0840.34045MR1356127
  5. GRUENDLER J., The existence of transverse homoclinic solutions for higher order equations, J. Differential Equations 130 (1996), 307-320. (1996) Zbl0863.34052MR1410890
  6. PALMER K. J., Exponential dichotomies and transversal homoclinic points, J. Differential Equations 55 (1984), 225-256. (1984) Zbl0508.58035MR0764125

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