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Some Applications of the Poincaré-Bendixson Theorem

Robert Roussarie
2021
Pré-publication, Document de travail hal-03107562v2
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Existence of a traveling wave solution in a free interface problem with fractional order kinetics

Claude-Michel Brauner , Robert Roussarie , Peipei Shang , Linwan Zhang
Journal of Differential Equations, 2021, 281, pp.105-147. ⟨10.1016/j.jde.2021.01.034⟩
Article dans une revue hal-02979187v1

Analysis of a slow–fast system near a cusp singularity

H. Jardón-Kojakhmetov , Henk W. Broer , Robert Roussarie
Journal of Differential Equations, 2016, 260 (4), pp.3785-3843. ⟨10.1016/j.jde.2015.10.045⟩
Article dans une revue hal-01413158v1

Bifurcations of planar vector fields

Jean-Pierre Françoise , Robert Roussarie
Springer-Verlag, 1455, 1990, Lecture Notes in Mathematics, 978-3-540-53509-6
Ouvrages hal-01407376v1

A topological study of planar vector field singularities

Robert Roussarie
Discrete and Continuous Dynamical Systems - Series A, 2020, 40 (9), pp.5217-5245. ⟨10.3934/dcds.2020226⟩
Article dans une revue hal-03026336v1

Some Applications of the Poincaré–Bendixson Theorem

Robert Roussarie
Qualitative Theory of Dynamical Systems, 2021, 20, pp.64. ⟨10.1007/s12346-021-00506-5⟩
Article dans une revue hal-03303255v1

Canard Cycles: from Birth to Transition

Peter de Maesschalck , Freddy Dumortier , Robert Roussarie
Springer International Publishing, 73, 2021, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 978-3-030-79232-9. ⟨10.1007/978-3-030-79233-6⟩
Ouvrages hal-03476667v1
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On singularities of minimum time control-affine systems

Jean-Baptiste Caillau , Jacques Fejoz , Michaël Orieux , Robert Roussarie
SIAM Journal on Control and Optimization, 2022, 60 (2), pp.1143-1162. ⟨10.1137/20M1366861⟩
Article dans une revue hal-01718345v2
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A TOPOLOGICAL STUDY OF PLANAR VECTOR FIELD SINGULARITIES A tribute to Ivar Bendixson

Robert Roussarie
2019
Pré-publication, Document de travail hal-01983440v1