On Peixoto's Conjecture for Flows on Non-orientable 2-Manifolds

dc.creatorGutierrez, Carlos
dc.creatorPires, Benito
dc.date2003-12-02
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:35:50Z
dc.date.available2026-07-07T06:35:50Z
dc.descriptionLet M be a non-orientable compact 2-manifold of genus 4. Then there exists a family of quasi-minimal, Kupka-Smale smooth vector fields X_r in M, depending smoothly on 0<=r<e, such that, for some flow box V in M of X_0, and for all 0<=r,v<e, (1) X_r restricted to V is a flow box; (2) If r is not equal to v, X_r is a C^\infty--twist perturbation of X_v localized in V; (3) X_r and X_v are topologically equivalent.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0312058
dc.identifierhttp://arxiv.org/abs/math/0312058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99915
dc.subjectDynamical Systems
dc.subject37C20, 37E05(primary); 37E35, 37C10, 37C15(secondary)
dc.titleOn Peixoto's Conjecture for Flows on Non-orientable 2-Manifolds
dc.typetext

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