Intrinsically localized chaos in discrete nonlinear extended systems

Details Intrinsically localized chaos in discrete nonlinear extended systems Intrinsically localized chaos in discrete nonlinear extended systems

1999-01-28

arxiv.org/abs/chao-dyn/9901030v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures, to appear in Europhysics Letters

Scientific paper

10.1209/epl/i1999-00186-5

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 it also extends 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.

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