Mapping densities in a noisy state space
Chaotic Dynamics
2016-12-07 v1
Abstract
Weak noise smooths out fractals in a chaotic state space and introduces a maximum attainable resolution to its structure. The balance of noise and deterministic stretching/contraction in each neighborhood introduces local invariants of the dynamics that can be used to partition the state space. We study the local discrete-time evolution of a density in a two-dimensional hyperbolic state space, and use the asymptotic eigenfunctions for the noisy dynamics to formulate a new state space partition algorithm.
Cite
@article{arxiv.1303.0951,
title = {Mapping densities in a noisy state space},
author = {Domenico Lippolis},
journal= {arXiv preprint arXiv:1303.0951},
year = {2016}
}
Comments
4 pages, 2 figures, submitted to NOLTA 2013