Nonlinear vibrations in lattice systems represent a fascinating departure from conventional harmonic behaviour, where the classical linear superposition principle is supplanted by complex dynamics ...
Applicable Analysis and Discrete Mathematics, Vol. 9, No. 2 (October 2015), pp. 245-270 (26 pages) Our aim is to investigate the global asymptotic behavior, the existence of invariant intervals, ...
The discrete nonlinear Schrödinger equation (DNLS) is a fundamental mathematical model that describes the evolution of wave amplitudes in lattice systems where the interplay between dispersion and ...
SIAM Journal on Applied Mathematics, Vol. 64, No. 5 (Jun. - Jul., 2004), pp. 1526-1549 (24 pages) Charge transport in semiconductor superlattices can be described through a discrete drift-diffusion ...
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