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• W3100532956 endingPage "20170192" @default.
• W3100532956 startingPage "20170192" @default.
• W3100532956 abstract "In this work, we revisit a criterion, originally proposed in [Nonlinearity {bf 17}, 207 (2004)], for the stability of solitary traveling waves in Hamiltonian, infinite-dimensional lattice dynamical systems. We discuss the implications of this criterion from the point of view of stability theory, both at the level of the spectral analysis of the advance-delay differential equations in the co-traveling frame, as well as at that of the Floquet problem arising when considering the traveling wave as a periodic orbit modulo a shift. We establish the correspondence of these perspectives for the pertinent eigenvalue and Floquet multiplier and provide explicit expressions for their dependence on the velocity of the traveling wave in the vicinity of the critical point. Numerical results are used to corroborate the relevant predictions in two different models, where the stability may change twice. Some extensions, generalizations and future directions of this investigation are also discussed." @default.
• W3100532956 created "2020-11-23" @default.
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• W3100532956 date "2018-03-05" @default.
• W3100532956 modified "2023-10-16" @default.
• W3100532956 title "An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices" @default.
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• W3100532956 doi "https://doi.org/10.1098/rsta.2017.0192" @default.
• W3100532956 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5869612" @default.
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