2000/05/19 by Mark Haskins, M. Haskins, Haskins, M. +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0005041
15 pages, 6 figures
arxiv created 2000/05/19 · openalex publication_date 2000/05/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Qualitative information about breather initial profiles in the weak coupling limit of a chain of identical one-dimensional anharmonic oscillators is found by studying the linearized equations of motion at a one-site breather. In particular, information is found about how the breather initial profile depends on its period T. Numerical work shows two different kinds of breathers to exist and to occur in alternating T-bands. Genericity of certain aspects of the observed behaviour is proved.