Ergodic Theory and Dynamical Systems

Table of Contents - 01 March 1990 - Volume 10, Issue 01  

Research Article

Quasi-transversal saddle-node bifurcation on surfaces

J. Beloquia1† and M. J. Pacificoa2†

a1 Instituto de Matemática e Estatística, Universidade de São Paulo, C.P. 20570, CEP 01498, S. Paulo-SP, Brasil

a2 Instituto de Matemática, Universidade Federal do Rio de Janeiro, C.P. 68530, CEP 21910, Rio de Janeiro-RJ, Brasil

Abstract

In this paper we give a complete set of invariants (moduli) for mild and strong semilocal equivalence for certain two parameter families of diffeomorphisms on surfaces. These families exhibit a quasi-transversal saddle-connection between a saddle-node and a hyperbolic periodic point.

(Received June 28 1988)

(Revised March 09 1989)

Footnotes

† Partially supported by CNPq-Brasil. This paper was prepared mainly at the Instituto de Matemática, Universidade Federal do Rio de Janeiro, to whom the first author acknowledges hospitality.