Letfbe an exact area-preserving monotone twist diffeomorphism of the infinite cylinder andPω,f(ξ) be the associated Peierls barrier

Compute the Fourier transform of the response function χ(ω).. Analyse the poles of this function e (for the

In this paper we make explicit the system of differential equations satisfied by R -circles, and use these equations to prove our main theorem (Theorem 7.1) that a

Université Denis Diderot 2012-2013.. Mathématiques M1

Alladi (Alladi, 1987) proved an Erd˝os–Kac theorem for integers without large prime factors... We follow closely the proofs of Propositions 2 and 3, making appropri-

In this paper, we show that the simplicity of this group is equivalent to the following fragmentation property in the group of compactly suppor- ted, area preserving diffeomorphisms

Key words: Symplectic dynamics, twist maps, Aubry-Mather theory, Green bundles, Greene criterion, Lyapunov exponents, invariant curves, instability zone.. 2010 Mathematics

The way we use the Green bundles in our article is different: the two Green bundles will bound the “derivative” below and above (this derivative is in fact the accumulation points

In this paper we investigate area preserving diffeomorphisms of R 2 and the existence of periodic points with prescribed rotation number around a given fixed point.. A