A few salient features of dissipative solitons in crystal-like lattices of active units

• Published in: Chaos, solitons and fractals Vol. 150; p. 111179
• Main Authors: Chetverikov, A.P., Ebeling, W., del Rio, E., Sergeev, K.S., Velarde, M.G.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-09-2021
• Subjects: Ensembles; Morse potential; Nonlinear waves; Particles; Solitons; Nonlinear waves; Morse potential; Ensembles; Particles; Solitons
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2021.111179

•Stationary states of 2D lattices of active units are translational mode (uniform and with defects)•Metastable states in 2D lattices of active units always transforms to translational mode•Noise impact determines the processes occurring with metastable states in 2D lattices of active units
A few salient soliton-like wave evolutionary features of one- and two-dimensional lattices of interacting active units are provided here. In the latter case, particular attention is given to the crystal-like triangular lattice. On the one hand, the units are coupled with nearest neighbors anharmonic forces (Morse potential). On the other hand the units are endowed with the possibility of an input-output energy balance that permits evolution to a steady state and the appearance of metastable states which on occasion can be quite long lasting. The lifetimes of such metastable states depend on the lattice parameter values and the wave front width. Eventually, all metastable states evolve to steady translational modes especially under influence of noise.