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 -perturbations of Hopf's bifurcation points and homoclinic tangencies
Author(s):
J.
C.
Martín;
L.
Mora
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1241-1245.
MSC (1991):
Primary 58F12, 58F13;
Secondary 58F14, 58F15
Posted:
August 3, 1999
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Abstract:
In this note we show that a diffeomorphism which has a Hopf's bifurcation point, can be  perturbed around the bifurcation point in order to get a diffeomorphism which exhibits homoclinic tangencies. In the  case this is not possible because of the typical unfolding of a Hopf's bifurcation point.
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Additional Information:
J.
C.
Martín
Affiliation:
Departamento de Matemática, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1086--A, Venezuela
Email:
jmartin@usb.ve
L.
Mora
Affiliation:
Departamento de Matemática, Instituto Venezolano de Investigaciones Científicas, Apartado Postal 21827, Caracas 1020-A, Venezuela
Email:
lmora@cauchy.ivic.ve
DOI:
10.1090/S0002-9939-99-05106-0
PII:
S 0002-9939(99)05106-0
Received by editor(s):
November 10, 1997
Received by editor(s) in revised form:
June 4, 1998
Posted:
August 3, 1999
Communicated by:
Mary Rees
Copyright of article:
Copyright
2000,
American Mathematical Society
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