16 citations · 17 across the 5 of their papers we have counts for
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math.DS2015★ 16 cited
Analysis of a slow-fast system near a cusp singularity
H. Jardón-Kojakhmetov, Henk W. Broer, R. Roussarie
This paper studies a slow-fast system whose principal characteristic is that the slow manifold is given by the critical set of the cusp catastrophe. Our analysis consists of two ma…
math.DS2015
Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems
Robert Roussarie, Christiane Rousseau
In this paper we introduce new methods to prove the finite cyclicity of some graphics through a triple nilpotent point of saddle or elliptic type surrounding a center. After applyi…