The bifurcation structure of a one parameter dependent piecewise linear population model is described. An explicit formula is given for the density of the unique invariant absolutely continuous probability measure mub for each parameter value b. The continuity of the map b --> mub is established.
@article{urn:eudml:doc:39007, title = {On invariant measures for the tend map.}, journal = {Stochastica}, volume = {12}, year = {1988}, pages = {251-255}, zbl = {0703.58027}, mrnumber = {MR1024765}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39007} }
Bofill, Francesc. On invariant measures for the tend map.. Stochastica, Tome 12 (1988) pp. 251-255. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39007/