Chaotic breathers of two types in a two-dimensional Morse lattice with an on-site harmonic potential

• Published in: Physica. D Vol. 225; no. 2; pp. 184 - 196
• Main Authors: Ikeda, Kousuke, Doi, Yusuke, Feng, Bao-Feng, Kawahara, Takuji
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.01.2007; Elsevier
• Subjects: Chaotic breather; Discrete breather; Exact sciences and technology; Morse potential; Physics; Two-dimensional lattice; Chaotic breather; Morse potential; Discrete breather; Two-dimensional lattice; Two dimension network; Thermalization; Disturbances; Harmonic potential; Nonlinearity; Non linear phenomenon
• ISSN: 0167-2789; 1872-8022
• DOI: 10.1016/j.physd.2006.10.017

Chaotic breathers of two types are generated in two-dimensional Morse lattices with on-site harmonic potentials. In both a triangular and a square configuration, initial highest-frequency ( π -mode) disturbances evolve into chaotic breathers. Depending on the magnitude of the parameters in the Morse potential, either quasi-one-dimensional localized chaotic breathers or two-dimensional localized (bell-shaped) ones are numerically observed when the on-site harmonic potential becomes significant. Both types of chaotic breather move irregularly within the lattice, and finally decay out into a thermalization state after a fairly long time. Quasi-one-dimensional localized chaotic breathers are favored as the strength of nonlinearity increases and they decay faster than two-dimensional localized ones.