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Special Issue: Hamiltonian Lattice Dynamics

Guest Editors

Dr. Simone Paleari
Dipartimento di Matematica - Universita degli Studi di Milano Via Saldini, 50 - 20133 Milano (I)
Email: simone.paleari@unimi.it


Dr. Tiziano Penati
Dipartimento di Matematica - Universita degli Studi di Milano Via Saldini, 50 - 20133 Milano (I)
Email: tiziano.penati@unimi.it

Published Papers(11)

Editorial
Hamiltonian lattice dynamics
Simone Paleari,  Tiziano Penati
2019, Volume 1, Issue 4: 881-887. doi: 10.3934/mine.2019.4.881
Abstract HTML PDF Cited (4) Viewed (3656)
Research article
Solitary waves in atomic chains and peridynamical media
Michael Herrmann,  Karsten Matthies
2019, Volume 1, Issue 2: 281-308. doi: 10.3934/mine.2019.2.281
Abstract HTML PDF Cited (4) Viewed (4354)
Research article
Wannier functions and discrete NLS equations for nematicons
José Antonio Vélez-Pérez,  Panayotis Panayotaros
2019, Volume 1, Issue 2: 309-326. doi: 10.3934/mine.2019.2.309
Abstract HTML PDF Cited (2) Viewed (4836)
Research article
Asymptotic approximations to travelling waves in the diatomic Fermi-Pasta-Ulam lattice
Jonathan A. D. Wattis
2019, Volume 1, Issue 2: 327-342. doi: 10.3934/mine.2019.2.327
Abstract HTML PDF Cited (6) Viewed (5267)
Research article
Energy transmission in Hamiltonian systems of globally interacting particles with Klein-Gordon on-site potentials
Jorge E. Macías-Díaz,  Anastasios Bountis,  Helen Christodoulidi
2019, Volume 1, Issue 2: 343-358. doi: 10.3934/mine.2019.2.343
Abstract HTML PDF Cited (4) Viewed (5396)
Research article
Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral
Helen Christodoulidi,  Christos Efthymiopoulos
2019, Volume 1, Issue 2: 359-377. doi: 10.3934/mine.2019.2.359
Abstract HTML PDF Cited (7) Viewed (5627)
Research article
Instabilities via negative Krein signature in a weakly non-Hamiltonian DNLS model
Panayotis G. Kevrekidis
2019, Volume 1, Issue 2: 378-390. doi: 10.3934/mine.2019.2.378
Abstract HTML PDF Cited (1) Viewed (5189)
Research article
Metastability of solitary waves in diatomic FPUT lattices
Nickolas Giardetti,  Amy Shapiro,  Stephen Windle,  J. Douglas Wright
2019, Volume 1, Issue 3: 419-433. doi: 10.3934/mine.2019.3.419
Abstract HTML PDF Cited (12) Viewed (6517)
Research article
Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions
Carlo Danieli,  Bertin Many Manda,  Thudiyangal Mithun,  Charalampos Skokos
2019, Volume 1, Issue 3: 447-488. doi: 10.3934/mine.2019.3.447
Abstract HTML PDF Cited (26) Viewed (8240)
Research article
Breathers and other time-periodic solutions in an array of cantilevers decorated with magnets
Christopher Chong,  Andre Foehr,  Efstathios G. Charalampidis,  Panayotis G. Kevrekidis,  Chiara Daraio
2019, Volume 1, Issue 3: 489-507. doi: 10.3934/mine.2019.3.489
Abstract HTML PDF Cited (3) Viewed (6115)
Research article
Universal route to thermalization in weakly-nonlinear one-dimensional chains
Lorenzo Pistone,  Sergio Chibbaro,  Miguel D. Bustamante,  Yuri V. Lvov,  Miguel Onorato
2019, Volume 1, Issue 4: 672-698. doi: 10.3934/mine.2019.4.672
Abstract HTML PDF Cited (27) Viewed (6413)
Mathematics in Engineering
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