Scarring by homoclinic and heteroclinic orbits
Chaotic Dynamics
2009-11-11 v1
Abstract
In addition to the well known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated closed circuits in phase space are properly quantized, thus introducing strong quantum correlations. The corresponding quantization rules are also established. This opens the door for developing computationally tractable methods to calculate eigenstates of chaotic systems.
Keywords
Cite
@article{arxiv.nlin/0606034,
title = {Scarring by homoclinic and heteroclinic orbits},
author = {D. A. Wisniacki and E. Vergini and R. M. Benito and F. Borondo},
journal= {arXiv preprint arXiv:nlin/0606034},
year = {2009}
}
Comments
5 pages, 4 figures