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 such as 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 behavior.
- Received 12 December 1997
DOI:https://doi.org/10.1103/PhysRevE.58.369
©1998 American Physical Society