A topological version of a theorem of Mather on shadowing in monotone twist maps
Automorphism Groups of Second Order Differential Equations.
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts.
Birational canonical transformations and classical solutions of the sixth Painlevé equation
Center Manifolds are not C...
Décompositions en cascades des systèmes automatiques et feuilletages invariants
Dédoublement de courbes invariantes sur le cylindre : petits diviseurs
Diffeomorphisms with Invariant Line Bundles.
Dynamics of symmetric holomorphic maps on projective spaces.
We consider complex dynamics of a critically finite holomorphic map from Pk to Pk, which has symmetries associated with the symmetric group Sk+2 acting on Pk, for each k ≥1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.
Effective algebraic geometry and normal forms of reversible mappings.
We present a new method to compute normal forms, applied to the germs of reversible mappings. We translate the classification problem of these germs to the theory of ideals in the space of the coefficients of their jets. Integral factorization coupled with Gröbner basis constructionjs the key factor that makes the process efficient. We also show that a language with typed objects like AXIOM is very convenient to solve these kinds of problems.
Ermakov's superintegrable toy and nonlocal symmetries.
Existence et non existence de tores invariants par des difféomorphismes symplectiques
Global theory of ordinary linear homogeneous differential equations in the real domain - II.
Group Actions on Strongly Monotone Dynamical Systems.
Group analysis methods for construction and investigation of the bifurcation equation
Heteroclinic cycles emanating from local bifurcations.
Inégalités a priori pour des tores lagrangiens invariants par des difféomorphismes symplectiques
Interactions entre bifurcation par brisure partielle de symétrie sphérique
Invariance of Poincaré-Lyapunov polynomials under the group of rotations.
Involutive distributions, invariant manifolds, and defining equations.