Boundary effects on the dynamics of chains of coupled oscillators

DOI10.1088/0951-7715/22/4/013zbMath1158.37310arXiv0802.2211OpenAlexW2071315690MaRDI QIDQ3623250

Tiziano Penati, Andrea Carati, Dario Bambusi

Publication date: 16 April 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2211

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Lattice dynamics; integrable lattice equations (37K60)

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NONLINEAR WAVES IN NEWTON'S CRADLE AND THE DISCRETE p-SCHRÖDINGER EQUATION ⋮ Numerical studies on boundary effects on the FPU paradox ⋮ Exponentially long stability times for a nonlinear lattice in the thermodynamic limit ⋮ Freezing of the optical-branch energy in a diatomic FPU chain ⋮ Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein–Gordon lattices ⋮ An extensive resonant normal form for an arbitrary large Klein-Gordon model

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