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

TL;DR

This paper introduces a universal mechanism for generating low-frequency discrete breathers in long-range systems without on-site potential, supported by theoretical analysis and numerical demonstrations.

Contribution

It presents a novel, universal mechanism for low-frequency discrete breathers in long-range systems, independent of boundary conditions and coupling details.

Findings

Discrete breathers can be excited without on-site potential.

The mechanism is applicable across various boundary conditions and system topologies.

Numerical stability analysis confirms the existence of these breathers.

Abstract

We propose a new mechanism of long-range coupling to excite low-frequency discrete breathers without the on-site potential. This mechanism is universal in long-range systems irrespective of the spatial boundary conditions, of topology of the inner degree of freedom, and of precise forms of the coupling functions. The limit of large population is theoretically discussed for the periodic boundary condition. Existence of discrete breathers is numerically demonstrated with stability analysis.