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1.
16 p, 331.6 KB Canard cycles with three breaking mechanisms / Caubergh, Magdalena (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Roussarie, Robert (Université de Bourgogne)
This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.
Cham, Switzerland: Springer, 2016 (Springer Proceedings in Mathematics & Statistics ; 157) - 10.1007/978-3-319-31323-8_4
Mathematical Sciences with Multidisciplinary Applications, 2016, p. 61-77  
2.
26 p, 206.5 KB Smoothness property for bifurcation diagrams / Roussarie, Robert
Strata of bifurcation sets related to the nature of the singular points or to connections between hyperbolic saddles in smooth families of planar vector fields, are smoothly equivalent to sub-analytic sets. [...]
1997 - 10.5565/PUBLMAT_41197_15
Publicacions matemàtiques, V. 41 n. 1 (1997) p. 243-268  

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