From transverse heteroclinic cycles to transverse homoclinic orbits

Flaviano Battelli; Michal Fečkan

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 3, page 295-305
  • ISSN: 0139-9918

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Battelli, Flaviano, and Fečkan, Michal. "From transverse heteroclinic cycles to transverse homoclinic orbits." Mathematica Slovaca 55.3 (2005): 295-305. <http://eudml.org/doc/32389>.

@article{Battelli2005,
author = {Battelli, Flaviano, Fečkan, Michal},
journal = {Mathematica Slovaca},
keywords = {homoclinic orbit; exponential dichotomy; transversality},
language = {eng},
number = {3},
pages = {295-305},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {From transverse heteroclinic cycles to transverse homoclinic orbits},
url = {http://eudml.org/doc/32389},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Battelli, Flaviano
AU - Fečkan, Michal
TI - From transverse heteroclinic cycles to transverse homoclinic orbits
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 3
SP - 295
EP - 305
LA - eng
KW - homoclinic orbit; exponential dichotomy; transversality
UR - http://eudml.org/doc/32389
ER -

References

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  1. BATTELLI F.-FEČKAN M., Some remarks on the Melnikov function, Electon. J. Differentiаl Equаtions 13 (2002), 1-29. Zbl1002.34034MR1884982
  2. BATTELLI F.-FEČKAN M., Subharmonic solutions in singular systems, J. Differential Equаtions 132 (1996), 21-47. (1996) Zbl0887.34029MR1418498
  3. COPPEL W. A., Dichotomies in Stability Theory, Lecture Notes in Mаth. 629, Springer-Verlаg, New York, 1978. (1978) Zbl0376.34001MR0481196
  4. GUCKENHEIMER J.-HOLMES P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Spiinger-Verlаg, New York, 1983. (1983) Zbl0515.34001MR0709768
  5. PALMER K. J., Exponential dichotomies and transversal homoclinic points, J. Differentiаl Equаtions 55 (1984), 225-256. (1984) Zbl0508.58035MR0764125
  6. PALIS J. P.-de MELO W., Geometric Theory of Dynamical Systems: An Introduction, Springer-Verlag, Nеw York, 1982. (1982) MR0669541
  7. SMALE S., Differentiable dynamical systems, Bull. Amеr. Math. Soc. 73 (1967), 747-817. (1967) Zbl0202.55202MR0228014

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