Editorial Special Issues

Hamiltonian lattice dynamics

  • Received: 30 September 2019 Accepted: 01 October 2019 Published: 21 October 2019
  • Hamiltonian lattice dynamics is a very active and relevant field of research. In this Special Issue, by means of some recent results by leading experts in the field, we tried to illustrate how broad and rich it can be, and how it can be seen as excellent playground for Mathematics in Engineering.

    Citation: Simone Paleari, Tiziano Penati. Hamiltonian lattice dynamics[J]. Mathematics in Engineering, 2019, 1(4): 881-887. doi: 10.3934/mine.2019.4.881

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  • Hamiltonian lattice dynamics is a very active and relevant field of research. In this Special Issue, by means of some recent results by leading experts in the field, we tried to illustrate how broad and rich it can be, and how it can be seen as excellent playground for Mathematics in Engineering.


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    [1] Chong C, Foehr A, Charalampidis EG, et al. (2019) Breathers and other time-periodic solutions in an array of cantilevers decorated with magnets. Mathematics in Engineering 1: 489-507.
    [2] Christodoulidi H, Efthymiopoulos C (2019) Stages of dynamics in the fermi-pasta-ulam system as probed by the first toda integral. Mathematics in Engineering 1: 359-377.
    [3] Danieli C, Manda BM, Mithun T, et al. (2019) Computational efficiency of numerical integration methods for the tangent dynamics of many-body hamiltonian systems in one and two spatial dimensions. Mathematics in Engineering 1: 447-488.
    [4] Fermi E, Pasta J, Ulam S (1955) Studies of nonlinear problems. Los Alamos document LA-1940.
    [5] Giardetti N, Shapiro A, Windle S, et al. (2019) Metastability of solitary waves in diatomic fput lattices. Mathematics in Engineering 1: 419-433.
    [6] Herrmann M, Matthies K (2019) Solitary waves in atomic chains and peridynamical media. Mathematics in Engineering 1: 281-308.
    [7] Kevrekidis PG (2019) Instabilities via negative krein signature in a weakly non-hamiltonian dnls model. Mathematics in Engineering 1: 378-390.
    [8] Macías-Díaz JE, Bountis A, Christodoulidi H (2019) Energy transmission in hamiltonian systems of globally interacting particles with klein-gordon on-site potentials. Mathematics in Engineering 1: 343-358. doi: 10.3934/mine.2019.2.343
    [9] Pistone L, Chibbaro S, Bustamante MD, et al. (2019) Universal route to thermalization in weaklynonlinear one-dimensional chains. Mathematics in Engineering 1: 672-698.
    [10] Vélez José AP, Panayotaros P, et al. (2019) Wannier functions and discrete nls equations for nematicons. Mathematics in Engineering 1: 309-326.
    [11] Wattis JAD, (2019) Asymptotic approximations to travelling waves in the diatomic fermi-pastaulam lattice. Mathematics in Engineering 1: 327-342.
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  • © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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