Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Vassilis M. Rothos"'
Publikováno v:
Axioms, Vol 7, Iss 4, p 69 (2018)
In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the persistence of periodic oscillations of a reduced system.
Externí odkaz:
https://doaj.org/article/8de6207b70c243c898460e107ff675af
Publikováno v:
Wave Motion. 76:9-18
In this work we investigate a one-dimensional parity-time (PT)-symmetric magnetic metamaterial consisting of split-ring dimers having gain or loss. Employing a Melnikov analysis we study the existence of localized travelling waves, i.e. homoclinic or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3734c6a0d73cf626490aeabe5f7f945b
https://doi.org/10.1016/j.wavemoti.2017.10.003
https://doi.org/10.1016/j.wavemoti.2017.10.003
Publikováno v:
The European Physical Journal Special Topics. 225:1187-1197
In this work, we study the stability and internal modes of one-dimensional gap solitons employing the modified nonlinear Schrodinger equation with a sinusoidal potential together with the presence of a weak nonlocality. Using an analytical theory, it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb0dc3c0417f5d9694f6bd462bd9e21a
https://doi.org/10.1140/epjst/e2016-02664-1
https://doi.org/10.1140/epjst/e2016-02664-1
Autor:
Vassilis M. Rothos
Publikováno v:
The European Physical Journal Special Topics. 225:943-958
In this review we try to capture some of the recent excitement induced by a large volume of theoretical and computational studies addressing nonlinear Schrodinger models (discrete and continuous) and the localized structures that they support. We foc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd2adfd2e2879a42b19bbb3fd804e740
https://doi.org/10.1140/epjst/e2016-02648-1
https://doi.org/10.1140/epjst/e2016-02648-1
Publikováno v:
Journal of Applied Nonlinear Dynamics. 3:37-49
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9d4c73ad86fbcfe56bb67739fdb8758
https://doi.org/10.5890/jand.2014.03.004
https://doi.org/10.5890/jand.2014.03.004
Publikováno v:
Journal of Dynamics and Differential Equations. 25:795-820
In this article, damped Fermi–Pasta–Ulam-type lattices driven by extended external forces are considered. The existence and uniqueness results of periodic travelling waves of the system are presented. The existence and the stability of periodic w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32a4ec7889d1b5523643d862ae88578c
https://doi.org/10.1007/s10884-013-9316-3
https://doi.org/10.1007/s10884-013-9316-3
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2016, 260 (2), pp.1717-1746. ⟨10.1016/j.jde.2015.09.043⟩
Journal of Differential Equations, Elsevier, 2016, 260 (2), pp.1717-1746. ⟨10.1016/j.jde.2015.09.043⟩
International audience; We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and unique
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a2de70a7d88ad8731504fde6b8b5921
https://hal.archives-ouvertes.fr/hal-01343794/document
https://hal.archives-ouvertes.fr/hal-01343794/document
Autor:
Michal Fečkan, Vassilis M. Rothos
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 4:1129-1145
We address the existence and bifurcation of periodic travelling wave solutions in forced spatially discrete nonlinear Schrodinger equations with local interactions. We consider polynomial type and bounded nonlinearities. The mathematical methods are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::967c49949e78166d5d1bfd31a98bebc0
https://doi.org/10.3934/dcdss.2011.4.1129
https://doi.org/10.3934/dcdss.2011.4.1129
Autor:
Vassilis M. Rothos, Alexander Pankov
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 30:835-849
We prove the existence of periodic and solitary traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities. The approach is based on variational techniques and concentration compactness.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02eadd91a1e40644bb0886f3f3a94b3a
https://doi.org/10.3934/dcds.2011.30.835
https://doi.org/10.3934/dcds.2011.30.835
Autor:
Vassilis M. Rothos, Michal Fečkan
Publikováno v:
Applicable Analysis. 89:1387-1411
Existence and bifurcation results are derived for quasi periodic travelling waves of discrete nonlinear Schrodinger equations with nonlocal interactions and with polynomial-type potentials. Variational tools are used. Several concrete nonlocal intera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0780e81e3cc3ed323aa60a83e077117a
https://doi.org/10.1080/00036810903208130
https://doi.org/10.1080/00036810903208130