A. Delshams

activity

20102026

most citedExamples of integrable and non-integrable systems on singular symplectic manifolds

40 citations · 127 across the 23 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.DS2013★ 2 cited

Instability of high dimensional Hamiltonian Systems: Multiple resonances do not impede diffusion

Amadeu Delshams, Rafael de la Llave, Tere M. Seara

We consider models given by Hamiltonians of the form $H (I, ϕ, p, q, t; ε) = h (I) + j = 1 \sum n \pm (\frac{1}{2} p_{j}^{2} + V_{j} (q_{j})) + εQ (I, ϕ, p, q, t; ε)$ where $I, ϕ$ are d-dimensional ac…

math.DS2013★ 2 cited

Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies

Amadeu Delshams, Marina Gonchenko, Pere Gutierrez

We study the splitting of invariant manifolds of whiskered tori with two or three frequencies in nearly-integrable Hamiltonian systems. We consider 2-dimensional tori with a freque…