[PDF] Top 20 A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi--integrable systems.

... for the a priori unstable ones for two reasons: first, the diffusion slows down at least exponentially with the perturbing parameter ε; second, the hyperbolic structures ... Voir le document complet

... Variation of the diffusion coefficient as a function of ǫ for four sets of N = 100 initial ...conditions. The geometrical diffusion coefficient µ defined in ... Voir le document complet

... section of ( 3 ) for  = 0.01 (left panel) and  = 0.4 (right panel). On the right panel we see that the region of the phase space with I2 ∈ [0, 1] is characterized by the ... Voir le document complet

... 3.2. Diffusion mechanisms In the light of these results, we hereinafter discuss the dif- fusion mechanisms of these ...on the specie. In fcc systems, three ... Voir le document complet

... consider the restriction to a finite set of indices (Mi,j) −N≤i,j≤N , which is equivalent to imposing homogeneous Dirichlet boundary conditions at x = −Nδx and x = N ...(in the limit N ... Voir le document complet

... be the quotient map, the most obvious set to look at is ...control the ratio |∂π(A)| |π(A)| . Part of the problem is that some points in π(A) may have many ... Voir le document complet

... As a next step, we consider the existence theory and the asymptotic decay towards the stationary state for Equation ...(12). The simultaneous presence of a nonlinearity ... Voir le document complet

... impact the effectiveness of a smoke management system: air from the lower (cold) layer can mix with the smoke in the upper layer as it is being exhausted by the ... Voir le document complet

... While the groups Isom ( H ) and Isom (H) exhibit strong geometric differences, the proof of the Steinhaus property is the same for both groups and rely on the use of ... Voir le document complet

... as a hypersurface in Minkowski space R n,1 , then ( E, h) is simply the restriction of the tangent bundle T R n,1 and ∇ RH is induced by the flat connection on Minkowki space ; ... Voir le document complet

... shows the state variables u and τ and their sensitivities u a and τ a at the final time T ...Since the state is a quite classical problem, it is not surprising that all ... Voir le document complet

... +∞, the limit of I 2k,n (h) when h goes to zero is ...Perspectives In this article we focus on a class of system defining in ...that the zeros of Abelian integrals ... Voir le document complet

... of linear integrable systems describe the local dynamics of perturbations of non-linear in- tegrable ...systems. The second reason is that it encompasses ... Voir le document complet

... Introduction In his 1968 article [12], Stoker asks the following question: if P is a convex polyhedron, then is it true that the internal angles of its faces are determined by ... Voir le document complet

... how the chemical effect suppresses soot formation, when CO 2 is added to a laminar diffusion ...flame. The paper focuses on the fuel side addition, ...to the fuel stream. 2 ... Voir le document complet

... propagation in hyperbolic metamaterials is described by the Maxwell equations with a frequency- dependent tensor of dielectric permittivity, whose eigenvalues are of different ... Voir le document complet

... on a form ω is defined as ∆ ≃ dδ + δd where δ is the adjoint of the differentiation operator d ...ω of degree 0 corresponds to the case of a scalar field, and ω ... Voir le document complet

... distributions of reflected diffusions in polyhedral domains. For diffusions in R m there are two basic approaches for computation of invariant distributions: PDE methods and Monte- ... Voir le document complet

... Introduction The (unstable) horocycle flow on the unit tangent bundle of compact hyper- bolic surfaces is uniquely ...that the Liou- ville measure is the unique invariant measure ... Voir le document complet

... from the experimental signal would be relatively easily solvable and it is hoped that the macroscopic model parameters can give useful in- sights into the underlying tissue ...example, ... Voir le document complet