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Energy Criterion for the Spectral Stability of Discrete Breathers

Opened Access Energy Criterion for the Spectral Stability of Discrete Breathers

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Autor: Kevrekidis, Panayotis G.
Cuevas-Maraver, Jesús
Pelinovsky, Dmitry E.
Coordinador/Director: Francisco Romero Romero
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2016
Publicado en: Physical Review Letters, 117 (9), 094101-.
Tipo de documento: Artículo
Resumen: 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.
Cita: 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-.
Tamaño: 280.2Kb
Formato: PDF

URI: http://hdl.handle.net/11441/44829

DOI: 10.1103/PhysRevLett.117.094101

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