@article{AFST_1994_6_3_3_411_0,
author = {S. Sergio Plaza},
title = {Global stability of saddle-node bifurcation of a periodic orbit for vector fields},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {411--448},
year = {1994},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 3},
number = {3},
doi = {10.5802/afst.787},
mrnumber = {1313357},
zbl = {0831.58036},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.787/}
}
TY - JOUR AU - S. Sergio Plaza TI - Global stability of saddle-node bifurcation of a periodic orbit for vector fields JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1994 SP - 411 EP - 448 VL - 3 IS - 3 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.787/ DO - 10.5802/afst.787 LA - en ID - AFST_1994_6_3_3_411_0 ER -
%0 Journal Article %A S. Sergio Plaza %T Global stability of saddle-node bifurcation of a periodic orbit for vector fields %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1994 %P 411-448 %V 3 %N 3 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.787/ %R 10.5802/afst.787 %G en %F AFST_1994_6_3_3_411_0
S. Sergio Plaza. Global stability of saddle-node bifurcation of a periodic orbit for vector fields. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 3 (1994) no. 3, pp. 411-448. doi: 10.5802/afst.787
[1] ), ) and ) .- Caracterising diffeomorphisms with modulus of stability one, Lectures Notes in Math. 898 (1981), pp. 226-285. | Zbl
[2] ) and ) .- Moduli of stability for diffeomorphisms, Lectures Notes in Math. 819 (1980), pp. 315-339. | Zbl | MR
[3] ), ) and ) .- Invariant Manifolds, Lectures Notes in Math., Springer Verlag, 583 (1977). | Zbl | MR
[4] ) .- Stability of parametrized families of vector fields, Dynamical Systems and Bifurcations Theory, Eds M. I. Camacho, M. J. Pacífico & F. Takens, Pitman Research Notes in Math., Serie 160 (1987), pp. 121-213. | Zbl
[5] ) and ) .- Stability of Morse-Smale vector fields on n-manifolds with boundary, Preprint U.F.R.J., Brazil (1988). | MR
[6] ) and ) .- Families of Vector fields with finite modulus of Stability, Lectures Notes in Math. 898 (1980), pp. 212-229. | Zbl | MR
[7] ) .- Spiralling invariant manifold, J. Diff. Eq. 66 (1987), pp. 189-207. | Zbl | MR
[8] ), ) and ) .- Bifurcation and Stability of Families of Diffeomorphisms, Publ. Math. I.H.E.S. 57 (1983), pp. 5-71. | Numdam | Zbl | MR
[9] ) and ) .- Stability of Parametrized families of gradient vector fields, Annals of Math. 118 (1983), pp. 383-421. | Zbl | MR
[10] ) . - Moduli and Bifurcations, non- transversal intersections of invariant manifold of vector fields, Lectures Notes in Math. 799 (1980), pp. 368-384. | Zbl | MR
[11] ) .- Global phenomena in bifurcations of dynamical systems with simple recurrence, Jber. der. Dentsche Math. Verein 81 (1979), pp. 81-96. | Zbl | MR
[12] ) .- Normal Forms for Certain Singularities of Vector Fields, Ann. Inst. Fourier 23, n° 2 (1973), pp. 163-195. | Numdam | Zbl | MR | EuDML
[13] ) .- One parameter families of vector fields. Bifurcations near saddle connection, Ph. D. Thesis, Utrecht (1982).
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