Intrinsically localized chaos in discrete nonlinear extended systems

Citation
Pj. Martinez et al., Intrinsically localized chaos in discrete nonlinear extended systems, EUROPH LETT, 45(4), 1999, pp. 444-449
Citations number
23
Categorie Soggetti
Physics
Journal title
EUROPHYSICS LETTERS
ISSN journal
02955075 → ACNP
Volume
45
Issue
4
Year of publication
1999
Pages
444 - 449
Database
ISI
SICI code
0295-5075(19990215)45:4<444:ILCIDN>2.0.ZU;2-8
Abstract
The phenomenon of intrinsic localization in discrete nonlinear extended sys tems,i.e. the (generic) existence of discrete breathers, is shown to be not restricted to periodic solutions but to also extend to more complex (chaot ic) dynamical behaviour. We illustrate this with two different forced and d amped systems exhibiting this type of solutions: In an anisotropic Josephso n junction ladder, we obtain intrinsically localized chaotic solutions by f ollowing periodic rotobreather solutions through a cascade of period-doubli ng bifurcations. In an array of forced and damped van der Pol oscillators, they are obtained by numerical continuation (path-following) methods from t he uncoupled limit, where its existence is trivially ascertained, following the ideas of the anticontinuum limit.