Search Results - "Bambusi, D."

Reducibility of 1-d Schrödinger Equation with Time Quasiperiodic Unbounded Perturbations, II by Bambusi, D.

“…We study the Schrödinger equation on R with a potential behaving as x 2 l at infinity, l ∈ [ 1 , + ∞ ) and with a small time quasiperiodic perturbation. We…”
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Almost Global Existence for Some Hamiltonian PDEs with Small Cauchy Data on General Tori by Bambusi, D., Feola, R., Montalto, R.

“…In this paper we prove a result of almost global existence for some abstract nonlinear PDEs on flat tori and apply it to some concrete equations, namely a…”
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Freezing of Energy of a Soliton in an External Potential by Bambusi, D., Maspero, A.

“…In this paper we study the dynamics of a soliton in the generalized NLS with a small external potential ϵV of Schwartz class. We prove that there exists an…”
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Birkhoff normal form for partial differential equations with tame modulus by Bambusi, D., Grébert, B.

“…We prove an abstract Birkhoff normal form theorem for Hamiltonian partial differential equations (PDEs). The theorem applies to semilinear equations with…”
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An Averaging Theorem for FPU in the Thermodynamic Limit by Maiocchi, A., Bambusi, D., Carati, A.

“…Consider an FPU chain composed of N ≫ 1 particles, and endow the phase space with the Gibbs measure corresponding to a small temperature β - 1 . Given a fixed…”
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Absolute Continuity of the Spectrum of Coupled Identical Systems on 1D Lattices by Langella, B., Bambusi, D.

“…We prove that the spectrum of the discrete Schrödinger operator on ℓ 2 ( ℤ 2 ) 1 ( ψ n , m ) ↦ − ( ψ n + 1 , m + ψ n − 1 , m + ψ n , m + 1 + ψ n , m − 1 ) + V…”
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Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds by Bambusi, D., Delort, J.-M., Grébert, B., Szeftel, J.

“…This paper is devoted to the proof of almost global existence results for Klein‐Gordon equations on Zoll manifolds (e.g., spheres of arbitrary dimension) with…”
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Families of Periodic Solutions of Resonant PDEs by Bambusi, D., Paleari, S.

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Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU by Bambusi, D., Maspero, A.

“…In this paper we study the Birkhoff coordinates (Cartesian action angle coordinates) of the Toda lattice with periodic boundary condition in the limit where…”
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A Reversible Nekhoroshev Theorem for Persistence of Invariant Tori in Systems with Symmetry by Bambusi, D.

“…We prove a variant of a theorem by Nekhoroshev on persistence of invariant tori in systems with symmetry. The new proof applies to reversible non Hamiltonian…”
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A property of exponential stability in nonlinear wave equations near the fundamental linear mode by Bambusi, D., Nekhoroshev, N.N.

“…We consider the nonlinear wave equation u tt − c 2 u xx = ϵψ( u), u( t,0) = u( t, π) = 0, (∗) where ψ is an analytic function satisfying ψ(0) = 0 and ψ′(00) ≠…”
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Birkhoff normal form for some nonlinear PDEs by BAMBUSI, Dario

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Degenerate KAM theory for partial differential equations by Bambusi, D., Berti, M., Magistrelli, E.

“…This paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensional Hamiltonian systems, depending on one parameter only…”
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Asymptotic Behavior of an Elastic Satellite with Internal Friction by Haus, E., Bambusi, D.

“…We study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a pointlike planet. The main result is…”
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Dynamics of periodic Toda chains with a large number of particles by Bambusi, D., Kappeler, T., Paul, T.

“…For periodic Toda chains with a large number N of particles we consider states which are N−2-close to the equilibrium and constructed by discretizing any given…”
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Normal form and exponential stability for some nonlinear string equations by Paleari, S., Bambusi, D., Cacciatori, S.

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Long Time Stability in Perturbations of Completely Resonant PDE's by Bambusi, D, Nekhoroshev, N N

“…In this paper we will present some results concerning long time stability in nonlinear perturbations of resonant linear PDE's with discrete spectrum. In…”
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Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems by BAMBUSI, D, GIORGILLI, A

“…A canonical perturbation theory is developed for a physically interesting class of infinite-dimensional systems. Stability is proven up to exponentially large…”
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Invariant tori for commuting Hamiltonian PDEs by Bambusi, D., Bardelle, C.

“…We generalize to some PDEs a theorem by Eliasson and Nekhoroshev on the persistence of invariant tori in Hamiltonian systems with r integrals of motion and n…”
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On metastability in FPU by BAMBUSI, Dario, PONNO, Antonio

“…We present an analytical study of the Fermi–Pasta–Ulam (FPU) α–model with periodic boundary conditions. We analyze the dynamics corresponding to initial data…”
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