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Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics

D. Pingel·P. Schmelcher·F. K. Diakonos
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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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D. Pingel, P. Schmelcher, F. K. Diakonos. 1997-12-12. Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics. https://doi.org/10.1103/physreve.58.369

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