60 citations · 300 across the 30 of their papers we have counts for
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math.NA2021★ 1 cited
Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation
Maikel M. Bosschaert, Yuri A. Kuznetsov
This paper provides for the first time correct third-order homoclinic predictors in -dimensional ODEs near a generic Bogdanov-Takens bifurcation point. To achieve this, higher-o…
math.DS2021★ 2 cited
Bifurcations of heteroclinic contours in two-parameter planar systems: Overview and explicit examples
Yuri A. Kuznetsov, Joost Hooyman
Smooth planar vector fields containing two hyperbolic saddles may possess contours formed by heteroclinic connections between these saddles. We present an overview of the bifurcati…