Artículo
Moving discrete breathers in a β-FPU lattice revisited
Autor/es | Duran, Henry
Cuevas-Maraver, Jesús Kevrekidis, Panayotis G. Vainchtein, Anna |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 2022-08 |
Fecha de depósito | 2022-12-20 |
Publicado en |
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Resumen | In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in -FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of ... In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in -FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of velocities, that allows us to systematically construct breathers traveling more than one lattice site per period. On the stability side, we explore the stability spectrum of the obtained waveforms via Floquet analysis and connect it to the energy-frequency bifurcation diagrams. We illustrate in this context examples of the energy being a multivalued function of the frequency, showcasing the coexistence of different moving breathers at the same frequency. Finally, we probe the moving breather dynamics and observe how the associated instabilities change their speed, typically slowing them down over long-time simulations. |
Agencias financiadoras | EU (FEDER program 2014–2020) and Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía under the project P18-RT-3480 EU (FEDER program 2014–2020) and Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía under the project US-1380977 MICINN and AEI PID2019-110430GB-C21 MICINN and AEI PID2020-112620GB-I00 |
Identificador del proyecto | P18-RT-3480
US-1380977 PID2019-110430GB-C21 PID2020-112620GB-I00 |
Cita | Duran, H., Cuevas-Maraver, J., Kevrekidis, P.G. y Vainchtein, A. (2022). Moving discrete breathers in a β-FPU lattice revisited. Communications in Nonlinear Science and Numerical Simulation, 111, 106435. https://doi.org/10.1016/j.cnsns.2022.106435. |
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