Intrinsically localized chaos in discrete nonlinear extended systems

, , and

1999 EDP Sciences
, , Citation P. J. Martínez et al 1999 EPL 45 444 DOI 10.1209/epl/i1999-00186-5

0295-5075/45/4/444

Abstract

The phenomenon of intrinsic localization in discrete nonlinear extended systems, i.e. the (generic) existence of discrete breathers, is shown to be not restricted to periodic solutions but to also extend to more complex (chaotic) dynamical behaviour. We illustrate this with two different forced and damped systems exhibiting this type of solutions: In an anisotropic Josephson junction ladder, we obtain intrinsically localized chaotic solutions by following periodic rotobreather solutions through a cascade of period-doubling bifurcations. In an array of forced and damped van der Pol oscillators, they are obtained by numerical continuation (path-following) methods from the uncoupled limit, where its existence is trivially ascertained, following the ideas of the anticontinuum limit.

Export citation and abstract BibTeX RIS

10.1209/epl/i1999-00186-5