AN IRREVERSIBLE PROCESS REPRESENTED BY A REVERSIBLE ONE
2008 ◽
Vol 18
(07)
◽
pp. 2059-2061
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Keyword(s):
Chaotic maps on an interval are irreversible in the sense that trajectories of points cannot be reversed. Furthermore, even when one considers trajectories of probabilities or probability density functions (pdf) generated by the chaotic map, the processes are irreversible. In this note we consider the following question: let τ be a chaotic map which takes a pdf f0 to a pdf f1. Does there exist a reversible process that accomplishes the same thing. For example, can we construct a differential equation which takes f0 to f1 and then, on reversal of time, f1 to f0. We present an example which answers this question in the affirmative.
2004 ◽
Vol 2004
(2)
◽
pp. 137-141
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2017 ◽
Vol 2
(1)
◽
pp. 213-224
◽
Keyword(s):
2021 ◽
Vol 502
(2)
◽
pp. 1768-1784
2015 ◽
Vol 34
(6)
◽
pp. 1-13
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