34 citations · 93 across the 6 of their papers we have counts for
4 papers · 1 filter
On the stability of tetrahedral relative equilibria in the positively curved 4-body problem
Florin Diacu, Regina Martinez, Ernesto Perez-Chavela +1
We consider the motion of point masses given by a natural extension of Newtonian gravitation to spaces of constant positive curvature. Our goal is to explore the spectral stability…
Computer Assisted Proof for Normally Hyperbolic Invariant Manifolds
Maciej J. Capinski, Carles Simo
We present a topological proof of the existence of a normally hyperbolic invariant manifold for maps. In our approach we do not require that the map is a perturbation of some other…
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems
Anatoly Neishtadt, Carles Simó, Dmitri Treschev +1
We consider a 2 d.o.f. Hamiltonian system with one degree of freedom corresponding to fast motion and the other corresponding to slow motion. The ratio of the time derivatives of s…
Random versus deterministic exponents in a rich family of diffeomorphisms
Francois Ledrappier, Michael Shub, Carles Simo +1
We study, both numerically and theoretically, the relationship between the random Lyapunov exponent of a family of area preserving diffeomorphisms of the 2-sphere and the mean of t…