Discrete breathers in a two-dimensional spring-mass lattice

DOI10.1088/1751-8113/42/35/355207zbMath1283.82004OpenAlexW2031583614MaRDI QIDQ3648934

Xiang Yi, Hadi Susanto, Jonathan A. D. Wattis, Linda J. Cummings

Publication date: 1 December 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8e761a64c0472d925c2907f9eb0d03edd4414a3c

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

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Quasi-stable localized excitations in the \(\beta\)-Fermi Pasta Ulam Tsingou system ⋮ Localized Excitations and Anisotropic Directional Ordering in a Two-Dimensional Morse Lattice Model of Cuprate Layers ⋮ Discrete breathers in a \(\beta\)-FPUT square lattice from in-band external driving ⋮ Asymptotic analysis of breather modes in a two-dimensional mechanical lattice ⋮ Stationary breather model in a two-dimensional hexagonal spring-mass lattice ⋮ Justification of the KP-II approximation in dynamics of two-dimensional FPU systems ⋮ Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction

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