Zobrazeno 1 - 10
of 231
pro vyhledávání: '"Cuevas-Maraver J"'
In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation. In particular, we modify the order $\beta$ of the temporal derivative
Externí odkaz:
http://arxiv.org/abs/2411.18600
Autor:
Chen, Q. Y., Rapti, Z., Drossinos, Y., Cuevas-Maraver, J., Kevrekidis, G. A., Kevrekidis, P. G.
Practical parameter identifiability in ODE-based epidemiological models is a known issue, yet one that merits further study. It is essentially ubiquitous due to noise and errors in real data. In this study, to avoid uncertainty stemming from data of
Externí odkaz:
http://arxiv.org/abs/2406.17827
In the present chapter, we explore the possibility of a Frenkel-Kontorova (discrete sine-Gordon) model to bear interactions that decay algebraically with space, inspired by the continuum limit of the corresponding fractional derivative. In such a set
Externí odkaz:
http://arxiv.org/abs/2311.01809
Autor:
Charalampidis, E. G., James, G., Cuevas-Maraver, J., Hennig, D., Karachalios, N. I., Kevrekidis, P. G.
In the present work we explore the potential of models of the discrete nonlinear Schr\"odinger (DNLS) type to support spatially localized and temporally quasiperiodic solutions on top of a finite background. Such solutions are rigorously shown to exi
Externí odkaz:
http://arxiv.org/abs/2306.08072
Deflation is an efficient numerical technique for identifying new branches of steady state solutions to nonlinear partial differential equations. Here, we demonstrate how to extend deflation to discover new periodic orbits in nonlinear dynamical latt
Externí odkaz:
http://arxiv.org/abs/2305.17571
We explore the inclusion of vaccination in compartmental epidemiological models concerning the delta and omicron variants of the SARS-CoV-2 virus that caused the COVID-19 pandemic. We expand on our earlier compartmental-model work by incorporating va
Externí odkaz:
http://arxiv.org/abs/2304.10656
We study systematically the scattering of solitons on localized impurities in the discrete nonlinear Schr\"odinger (DNLS) equation with a saturable nonlinearity. We show that, apart from the generic scenario of the outcome of the scattering process,
Externí odkaz:
http://arxiv.org/abs/2210.09450
We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges. Upon analyzing the linear band structure of the model, we identify pa
Externí odkaz:
http://arxiv.org/abs/2207.13968
Autor:
Rapti, Z., Cuevas-Maraver, J., Kontou, E., Liu, S., Drossinos, Y., Kevrekidis, P. G., Kevrekidis, G. A., Barmann, M., Chen, Q. -Y.
Metapopulation models have been a popular tool for the study of epidemic spread over a network of highly populated nodes (cities, provinces, countries) and have been extensively used in the context of the ongoing COVID-19 pandemic. In the present wor
Externí odkaz:
http://arxiv.org/abs/2207.01958
Publikováno v:
Phys. Rev. E 107, 034217 (2023)
In the present work we explore the concept of solitary wave billiards. I.e., instead of a point particle, we examine a solitary wave in an enclosed region and explore its collision with the boundaries and the resulting trajectories in cases which for
Externí odkaz:
http://arxiv.org/abs/2203.09489