Finite size effects on instabilities of discrete breathers
The authors deal with one aspect of the stability of breathers which involves the size of the system. For numerical calculations, the authors consider finite systems with standard periodic boundary conditions. They illustrate their results by considering as an example the well-known one-dimensional Klein-Gordon model which consists of anharmonic oscillators with unity mass and harmonic nearest neighbor coupling with constant \(c\). Its Hamiltonian is \[ H=\sum_n \Biggl[ \frac{P_n^2}{2}+ V(u_n)+ \frac{c}{2} (u_{n+1}- u_n)^2 \Biggr]. \]
scientific article; zbMATH DE number 1374388