Article
Energy Criterion for the Spectral Stability of Discrete Breathers
Author/s | Kevrekidis, Panayotis G.
Cuevas-Maraver, Jesús Pelinovsky, Dmitry E. |
Editor | Romero Romero, Francisco |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2016 |
Deposit Date | 2016-09-08 |
Published in |
|
Abstract | Discrete breathers are ubiquitous structures in nonlinear anharmonic models ranging from the prototypical example of the Fermi-Pasta-Ulam model to Klein-Gordon nonlinear lattices, among many others. We propose a general ... Discrete breathers are ubiquitous structures in nonlinear anharmonic models ranging from the prototypical example of the Fermi-Pasta-Ulam model to Klein-Gordon nonlinear lattices, among many others. We propose a general criterion for the emergence of instabilities of discrete breathers analogous to the well-established Vakhitov-Kolokolov criterion for solitary waves. The criterion involves the change of monotonicity of the discrete breather’s energy as a function of the breather frequency. Our analysis suggests and numerical results corroborate that breathers with increasing (decreasing) energy-frequency dependence are generically unstable in soft (hard) nonlinear potentials. |
Citation | Kevrekidis, P.G., Cuevas-Maraver, J. y Pelinovsky, D.E. (2016). Energy Criterion for the Spectral Stability of Discrete Breathers. Physical Review Letters, 117 (9), 094101-. |
Files | Size | Format | View | Description |
---|---|---|---|---|
PRL_cuevas_2016_energy.pdf | 280.2Kb | [PDF] | View/ | |