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, ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

The Wiener series provides a representation for many nonlinear systems with respect to Brownian motion inputs. In this paper the Wiener theory is extended to a wide class of stochastic inputs ...