Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
Analytical solutions to the chaotic and ergodic motion of a certain class of one-dimensional dissipative and discrete dynamical systems are derived. This allows us to obtain exact expressions for physical properties like the time correlation function. We illustrate our solutions by means of a few examples for which conventional numerical trajectory calculations fail to predict the correct behaviour.
Cite
@article{arxiv.chao-dyn/9712012,
title = {Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics},
author = {D. Pingel and P. Schmelcher and F. K. Diakonos},
journal= {arXiv preprint arXiv:chao-dyn/9712012},
year = {2009}
}
Comments
7 pages and 5 figures, submitted to Phys.Rev.E