Low-frequency discrete breathers in long-range systems without on-site potential

Physical Review. E
Yoshiyuki Y Yamaguchi, Yusuke Doi

Abstract

A mechanism of long-range couplings is proposed to realize low-frequency discrete breathers without on-site potentials. The realization of such discrete breathers requires a gap below the band of linear eigenfrequencies. Under the periodic boundary condition of a one-dimensional lattice and the limit of large population, we show theoretically that the long-range couplings universally open the gap below the band irrespective of the coupling functions, while the short-range couplings cannot. The existence of the low-frequency discrete breathers, spatial localization, and stability are numerically analyzed from long range to short range.

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Citations

Dec 18, 2020·Physical Review. E·Carlos Lawrence GninzanlongClément Tchawoua

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