80 citations · 84 across the 6 of their papers we have counts for
9 papers
Elliptic fixed points with an invariant foliation: Some facts and more questions
Alain Chenciner, David Sauzin, Shanzhong Sun +1
We address the following question: let F:(R^2,0)->(R^2,0) be an analytic local diffeomorphism defined in the neighborhood of the non resonant elliptic fixed point 0 and let Φbe a f…
Non-avoided crossings for n-body balanced configurations in R^3 near a central configuration
Alain Chenciner
The balanced configurations are those n-body configurations which admit a relative equilibrium motion in a Euclidean space E of high enough dimension 2p. They are characterized by…
Between two moments
Alain Chenciner, Bernard Leclerc
In this short note, we draw attention to a relation between two Horn polytopes which is proved in [Chenciner-Jiménez Pérez] as the result on the one side of a deep combinatorial re…
The Lagrange reduction of the N-body problem, a survey
Alain Chenciner
In his fondamental "Essay on the 3-body problem", Lagrange, well before Jacobi's "reduction of the node", carries out the first complete reduction of symetries. Discovering the so-…
Angular momentum and Horn's problem
Alain Chenciner, Hugo Jimenez Perez
We prove a conjecture made by the first author: given an n-body central configuration X_0 in the euclidean space R^{2p}, let Im F be the set of ordered real p-tuples {ν_1,ν_2,...,ν…
The angular momentum of a relative equilibrium
Alain Chenciner
There are two main reasons why relative equilibria of N point masses under the influence of Newton attraction are mathematically more interesting to study when space dimension is a…