Volume 45, Number 4, February II 1999
|Page(s)||444 - 449|
|Published online||01 September 2002|
Intrinsically localized chaos in discrete nonlinear extended systems
Group of Theory and Simulation of Complex Systems
Departamento de Física Aplicada, CSIC-Universidad de Zaragoza E-50009 Zaragoza, Spain
2 Group of Theory and Simulation of Complex Systems Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza E-50009 Zaragoza, Spain
3 Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology - Cambridge, MA 02319, USA
Accepted: 16 December 1998
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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 45.05.+x – General theory of classical mechanics of discrete systems / 74.50.+r – Proximity effects, weak links, tunneling phenomena and Josephson effects
© EDP Sciences, 1999
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