Article
Discrete breathers in Klein–Gordon lattices. A deflation-based approach
Author/s | Martín-Vergara, Francisca
Cuevas-Maraver, Jesús ![]() ![]() ![]() ![]() ![]() ![]() ![]() Farrell, Patrick Villatoro Machuca, Francisco Román Kevrekidis, Panayotis G. |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2023-11-21 |
Deposit Date | 2024-05-10 |
Abstract | 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 ... 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 lattices. We employ our extension to identify discrete breathers, which are generic exponentially localized, time-periodic solutions of such lattices. We compare different approaches to using deflation for periodic orbits, including ones based on Fourier decomposition of the solution, as well as ones based on the solution’s energy density profile. We demonstrate the ability of the method to obtain a wide variety of multibreather solutions without prior knowledge about their spatial profile. |
Funding agencies | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | PID2020-112620GB-I00
![]() |
Files | Size | Format | View | Description |
---|---|---|---|---|
C_cuevas-maraver_2023_discrete.pdf | 1.891Mb | ![]() | This document is not available in full text until 2025-11-25 . For more information contact idus@us.es. | |
This item appears in the following collection(s)
This document is protected by intellectual and industrial property rights. Without prejudice to existing legal exemptions, its reproduction, distribution, public communication or transformation is prohibited without the authorization of the rights holder, unless otherwise indicated.