Construction of the discrete breathers and a simple physical interpretation of their existence

2007/11/29 by G. M. Chechin, Chechin, G. M., G. S. Dzhelauhova +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.0711.4842

openalex publication_date 2007/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a simple numerical method for the discrete breather construction based on the idea of the pair synchronization of the particles involved in the breather vibration. It can be used for obtaining exact breather solutions in nonlinear Hamiltonian lattices of different types. We illustrate the above method using chains of the coupled Duffng oscillators. With some additional approximation, the pair synchronization method leads to a very simple physical interpretation of the existence of the exact breathers as strictly time-periodic and spatially localized dynamical objects.

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