Hamiltonian lattice dynamics

Simone Paleari; Tiziano Penati

doi:10.3934/mine.2019.4.881

Mathematics in Engineering, 2019, 1(4): 881-887. doi: 10.3934/mine.2019.4.881. Editorial Special Issues

Export file:

Format

RIS(for EndNote,Reference Manager,ProCite)
BibTex
Text

Content

Citation Only
Citation and Abstract

Hamiltonian lattice dynamics

Simone Paleari, Tiziano Penati

1 Università degli Studi di Milano, Dipartimento di Matematica, 20133 Milano, Italy
2 GNFM Gruppo Nazionale di Fisica Matematica, INDAM Istituto Nazionale di Alta Matematica, Roma, Italy

^†This contribution is part of the Special Issue: Hamiltonian Lattice Dynamics
Guest Editors: Simone Paleari; Tiziano Penati
Link: http://www.aimspress.com/newsinfo/1165.html

Received: , Accepted: , Published:

Special Issues: Hamiltonian Lattice Dynamics

Abstract Full Text(HTML) Figure/Table Related pages

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.

Figure/Table

Supplementary

Article Metrics

Keywords: Hamiltonian lattices

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

References:

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.
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.

show all references

Reader Comments

your name: * your email: *

Download full text in PDF

Associated material

Metrics