Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics
arXiv:chao-dyn/9712012 · doi:10.1103/PhysRevE.58.369
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.
7 pages and 5 figures, submitted to Phys.Rev.E