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Zbl 0802.58036
Pacifico, M.J.; Rovella, A.
Unfolding contracting singular cycles. (English)
[J] Ann. Sci. Éc. Norm. Supér. (4) 26, No. 6, 691-700 (1993). ISSN 0012-9593

The authors' abstract: ``We show that if we start with a Morse-Smale vector field and move through a generic one-parameter family of vector fields to a contracting singular cycle and beyond, we reach a region filled up mostly with hyperbolic flows: the Lebesgue measure of parameter values corresponding to non-Axiom $A$ flows is zero''.
[C.Chicone (Columbia)]

MSC 2000:: *37D15 Morse-Smale systems
37D99 Dynamical systems with hyperbolic behavior

Keywords: Morse-Smale vector field; singular cycle; hyperbolic flows

Cited in: Zbl 0942.37039 Zbl 0903.34024

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