Breathers in oscillator chains with Hertzian interactions

DOI10.1016/j.physd.2013.01.017zbMath1278.37053arXiv1111.1857OpenAlexW1984972737MaRDI QIDQ387338

Jesús Cuevas, Panayotis G. Kevrekidis, Guillaume James

Publication date: 23 December 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1857

zbMATH Keywords

discrete breatherdirection-reversing wavediscrete \(p\)-Schrödinger equationHamiltonian latticeHertzian contactsurface mode

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (23)

Breathers in a locally resonant granular chain with precompression ⋮ Quasi-periodic breathers in Newton’s cradle ⋮ Gaussian solitary waves for the logarithmic-BBM and the logarithmic-TRLW equations ⋮ Traveling waves for the mass in mass model of granular chains ⋮ Travelling breathers and solitary waves in strongly nonlinear lattices ⋮ Quasiperiodic granular chains and Hofstadter butterflies ⋮ Existence of exponentially and superexponentially spatially localized breather solutions for nonlinear klein–gordon lattices in ℤ^d, d ≥ 1 ⋮ Periodic traveling waves in diatomic granular chains ⋮ Periodic travelling waves and compactons in granular chains ⋮ Breather Solutions of the Discrete p-Schrödinger Equation ⋮ Supersonic Kinks in Coulomb Lattices ⋮ Quasi-periodic breathers in granular chains with Hertzian contact potential ⋮ Primary wave transmission in the hexagonally packed, damped granular crystal with a spatially varying cross section ⋮ Wave propagation in a strongly nonlinear locally resonant granular crystal ⋮ Vibratory control of a linear system by addition of a chain of nonlinear oscillators ⋮ Nonlinear elastic wave propagation in a phononic material with periodic solid-solid contact interface ⋮ Long time stability of small-amplitude breathers in a mixed FPU-KG model ⋮ Breather arrest in a chain of damped oscillators with Hertzian contact ⋮ Solitary waves in mass-in-mass lattices ⋮ Unidirectional energy transport in the symmetric system of non-linearly coupled oscillators and oscillatory chains ⋮ Discrete breathers and discrete oscillating kink solution in the mass-in-mass chain in the state of acoustic vacuum ⋮ Stationary rarefaction waves in discrete materials with strain-softening behavior ⋮ Linear and nonlinear dynamics of isospectral granular chains

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