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Title of article :
Demonstration of the stability or instability of multibreathers at low coupling
Author/Authors :
Archilla، نويسنده , , J.F.R. and Cuevas، نويسنده , , J. and Sلnchez-Rey، نويسنده , , B. and Alvarez، نويسنده , , A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
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Abstract :
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation of the Floquet multipliers or on the weak nonlinearity approximation leading to discrete nonlinear Schrödinger equations. Here we present a set of multibreather stability theorems (MST) that provides a simple method to determine multibreathers stability in Klein–Gordon systems. These theorems are based in the application of degenerate perturbation theory to Aubry’s band theory. We illustrate them with several examples.
Keywords :
Discrete breathers , Multibreathers , Intrinsic localized modes
Journal title :
Physica D Nonlinear Phenomena
Serial Year :
Link To Document :