Stability of non-time-reversible phonobreathers

Abstract

Non-time reversible phonobreathers are non-linear waves that can transport energy in coupled oscillator chains by means of a phase-torsion mechanism. In this paper, the stability properties of these structures have been considered. It has been performed an analytical study for low-coupling solutions based upon the so called {\em multibreather stability theorem} previously developed by some of the authors [Physica D {\bf 180} 235]. A numerical analysis confirms the analytical predictions and gives a detailed picture of the existence and stability properties for arbitrary frequency and coupling.

J. Phys. A.:Math. and Theor. In Press (2010)

References in corpus (5)

• Two-dimensional discrete solitons in rotating lattices
• Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
• Multibreather and vortex breather stability in Klein--Gordon lattices: Equivalence between two different approaches
• q-breathers in Discrete Nonlinear Schroedinger lattices
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Cited by in corpus (6)

• PT-Symmetric Dimer of Coupled Nonlinear Oscillators
• Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors
• Energy criterion for the spectral stability of discrete breathers
• Multibreather and vortex breather stability in Klein--Gordon lattices: Equivalence between two different approaches
• Josephson tunneling of dark solitons in a double-well potential
• Discrete breathers in ${\varphi }^4$ and related models