On the creation of homoclinic points

Ricardo Mañé

Publications Mathématiques de l'IHÉS (1987)

  • Volume: 66, page 139-159
  • ISSN: 0073-8301

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Mañé, Ricardo. "On the creation of homoclinic points." Publications Mathématiques de l'IHÉS 66 (1987): 139-159. <http://eudml.org/doc/104025>.

@article{Mañé1987,
author = {Mañé, Ricardo},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {almost homoclinic points; hyperbolic fixed point; hyperbolic set},
language = {eng},
pages = {139-159},
publisher = {Institut des Hautes Études Scientifiques},
title = {On the creation of homoclinic points},
url = {http://eudml.org/doc/104025},
volume = {66},
year = {1987},
}

TY - JOUR
AU - Mañé, Ricardo
TI - On the creation of homoclinic points
JO - Publications Mathématiques de l'IHÉS
PY - 1987
PB - Institut des Hautes Études Scientifiques
VL - 66
SP - 139
EP - 159
LA - eng
KW - almost homoclinic points; hyperbolic fixed point; hyperbolic set
UR - http://eudml.org/doc/104025
ER -

References

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  1. [1] M. HIRSCH, J. PALIS, C. PUGH, M. SHUB, Neighborhoods of hyperbolic sets, Invent. Math., 9 (1970), 121-134. Zbl0191.21701MR41 #7232
  2. [2] D. PIXTON, Planar homoclinic points, Journal of Differential Equations, 44 (1982), 365-382. Zbl0506.58029MR83h:58077
  3. [3] C. ROBINSON, Closing stable and unstable manifolds on the two-sphere, Proc. Amer. Math. Soc., 41 (1973), 299-303. Zbl0275.58013MR47 #9674
  4. [4] S. SMALE, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology, 63-70, Princeton, Univ. Press, 1965. Zbl0142.41103MR31 #6244
  5. [5] F. TAKENS, Homoclinic points in conservative systems, Invent. Math., 18 (1972), 267-292. Zbl0247.58007MR48 #9768

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