@article{Chamberland1996, author = {{Marc Chamberland}}, title = {{A Continuous Extension of the $3x+1$ Problem to the Real Line}}, journal = {{Dynamics of Continuous, Discrete and Impulsive Dynamical Systems}}, year = {{1996}}, volume = {{2}}, pages = {{495--509}}, note = {{MR 97f:39031}}, }