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Quasi-transversal saddle-node bifurcation on surfaces

Published online by Cambridge University Press:  19 September 2008

J. Beloqui  and
M. J. Pacifico
J. Beloqui
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, C.P. 20570, CEP 01498, S. Paulo-SP, Brasil
M. J. Pacifico
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, C.P. 68530, CEP 21910, Rio de Janeiro-RJ, Brasil
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 1 , March 1990 , pp. 63 - 88
Copyright
Copyright © Cambridge University Press 1990

References

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