Bifurcation of heteroclinic orbits for diffeomorphisms
Applications of Mathematics, Tome 36 (1991) no. 5, pp. 355-367
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The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. The existence of a Melnikov-like function for the two-dimensional case is shown. Simple possibilities of the set of heteroclinic points are described for higherdimensional cases.
DOI :
10.21136/AM.1991.104472
Classification :
34C37, 37G99, 58F14, 58f30
Keywords: bifurcation phenomena; heteroclinic points; discrete dynamical systems; dynamical system; diffeomorphism
Keywords: bifurcation phenomena; heteroclinic points; discrete dynamical systems; dynamical system; diffeomorphism
@article{10_21136_AM_1991_104472,
author = {Fe\v{c}kan, Michal},
title = {Bifurcation of heteroclinic orbits for diffeomorphisms},
journal = {Applications of Mathematics},
pages = {355--367},
publisher = {mathdoc},
volume = {36},
number = {5},
year = {1991},
doi = {10.21136/AM.1991.104472},
mrnumber = {1125637},
zbl = {0748.58022},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104472/}
}
TY - JOUR AU - Fečkan, Michal TI - Bifurcation of heteroclinic orbits for diffeomorphisms JO - Applications of Mathematics PY - 1991 SP - 355 EP - 367 VL - 36 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104472/ DO - 10.21136/AM.1991.104472 LA - en ID - 10_21136_AM_1991_104472 ER -
Fečkan, Michal. Bifurcation of heteroclinic orbits for diffeomorphisms. Applications of Mathematics, Tome 36 (1991) no. 5, pp. 355-367. doi: 10.21136/AM.1991.104472
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