Energy localization in two chaotically coupled systems

Details Energy localization in two chaotically coupled systems Energy localization in two chaotically coupled systems

2005-06-08

arxiv.org/abs/nlin/0506017v1

Phys. Rev. E 71, 036214 (2005)

Nonlinear Sciences

Chaotic Dynamics

20 pages, 15 figures

Scientific paper

10.1103/PhysRevE.71.036214

We set up and analyze a random matrix model to study energy localization and its time behavior in two chaotically coupled systems. This investigation is prompted by a recent experimental and theoretical study of Weaver and Lobkis on coupled elastomechanical systems. Our random matrix model properly describes the main features of the findings by Weaver and Lobkis. Due to its general character, our model is also applicable to similar systems in other areas of physics -- for example, to chaotically coupled quantum dots.

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