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math-ph2024★ 3 cited
Periodically Forced Nonlinear Oscillatory Acoustic Vacuum
Makrina Agaoglou, Michal Feckan, Michal Pospisil +2
In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied…
math-ph2024★ 8 cited
Travelling waves in nonlinear magneto-inductive lattices
M. Agaoglou, M. Feckan, M. Pospisil +2
We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence…