Discrete breathers and nonlinear normal modes in monoatomic chains

Abstract

We consider a relation between discrete breathers (DBs) and nonlinear normal modes in some nonlinear monoatomic chains. The dependence of the breathers’ stability on the strength of interparticle interaction in the K 4 chain (the chain with uniform on-site and intersite potentials of the fourth order) is investigated. A general method for constructing DBs which provides the pair synchronization between the individual particles’ vibrations is discussed. Many-frequency breathers as DBs of a new type and quasibreathers [introduced in Physical Review E 74 (2006) 036608] are analyzed.