Resultats globals: 4 registres trobats en 0.04 segons.
Documents de recerca, 4 registres trobats
Documents de recerca 4 registres trobats  
1.
31 p, 290.6 KB Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians / Bounemoura, Abed ; Centre de Recerca Matemàtica
In this paper, we give a new construction of resonant normal forms with a small remainder for near-integrable Hamiltonians at a quasi-periodic frequency. The construction is based on the special case of a periodic frequency, a Diophantine result concerning the approximation of a vector by independent periodic vectors and a technique of composition of periodic averaging. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1132)  
2.
21 p, 233.9 KB Normal forms, stability and splitting of invariant manifolds II. Finitely differentiable Hamiltonians / Bounemoura, Abed ; Centre de Recerca Matemàtica
This paper is a sequel to ``Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians", in which we gave a new construction of resonant normal forms with an exponentially small remainder for near-integrable Gevrey Hamiltonians at a quasi-periodic frequency, using a method of periodic approximations. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1133)  
3.
42 p, 318.7 KB Generic Nekhoroshev theory without small divisors / Bounemoura, Abed ; Niederman, Laurent ; Centre de Recerca Matemàtica
In this article, we present a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 912)  
4.
19 p, 227.5 KB Generic super-exponential stability of invariant tori in Hamiltonian systems / Bounemoura, Abed ; Centre de Recerca Matemàtica
In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 916)  

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