Fermi-Pasta-Ulam phenomenon for generic initial data
نویسندگان
چکیده
منابع مشابه
The Fermi-Pasta-Ulam problem(∗)
The Fermi-Pasta-Ulam model is a system of N+2 equal particles on a line with mutual interactions between adjacent particles, provided by a potential of the form V (r) = r/2 + αr/3 + βr/4; certain boundary conditions are also assigned, typically with the two extreme particles fixed. For α = β = 0 the system is a linear one, and by a familiar linear transformation it can be reduced to a system of...
متن کاملTHE FERMI-PASTA-ULAM LATTICE Background The Fermi-Pasta-Ulam lattice is named after the experiments
The Fermi-Pasta-Ulam lattice is named after the experiments performed by Enrico Fermi, John Pasta, and Stanislaw Ulam in 1954-5 on the Los Alamos MANIAC computer, one of the first electronic computers. As reported in Ulam’s autobiography [Uh], Fermi immediately suggested using the new machine for theoretical work, and it was decided to start by studying the vibrations of a string under the infl...
متن کاملThe Lorenz–Fermi–Pasta–Ulam experiment
We consider a chain of Lorenz ’63 systems connected through a local, nearest-neighbour coupling. We refer to the resulting system as the Lorenz–Fermi–Pasta–Ulam lattice because of its similarity to the celebrated experiment conducted by Fermi, Pasta and Ulam. At large coupling strengths, the systems synchronize to a global, chaotic orbit of the Lorenz attractor. For smaller coupling, the synchr...
متن کاملThe Fermi-Pasta-Ulam problem revisited
The Fermi-Pasta-Ulam α-model of harmonic oscillators with cubic anharmonic interactions is studied from a statistical mechanical point of view. Systems of N = 32 to 128 oscillators appear to be large enough to suggest statistical mechanical behavior. A key element has been a comparison of the maximum Lyapounov coefficient λmax of the FPU α-model and that of the Toda lattice. For generic initial...
متن کاملDiscrete breathers in Fermi-Pasta-Ulam lattices.
We study the properties of spatially localized and time-periodic excitations--discrete breathers--in Fermi-Pasta-Ulam (FPU) chains. We provide a detailed analysis of their spatial profiles and stability properties. We especially demonstrate that the Page mode is linearly stable for symmetric FPU potentials. A resonant interaction between a localized and delocalized perturbations causes weak but...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.76.022104