Energy transport in one-dimensional oscillator arrays with hysteretic damping

Nonlinear bandgap transmission by discrete rogue waves induced in a pendulum chain

“…Nowadays, there is another important consequence of this phenomenon, which is the capacity to reveal the types of waves that can propagate in the dispersive nonlinear lattice with a periodically driven boundary edge. Breathers have been generated in mechanical systems [1][2][3][4][5][6][7], in the Fermi-Pasta-Ulam Tsingou (FPUT) model [8][9][10], in a discrete inductance-capacitance electrical line [11], in Josephson junctions [12], and in molecular dynamics models [13]. An envelope soliton has been created in optical waveguide arrays [14][15][16] and in electrical lattices [17,18].…”