Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics
D. Pingel, P. Schmelcher, F. K. Diakonos
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.
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