Cai, Donghan Multiple growth paths, multiple stead states and bifurcation. (Chinese. English summary) Zbl 0912.90049 Acta Math. Sci. (Chin. Ed.) 18, No. 3, 348-354 (1998). Summary: A Cass-Koopmans model with solvable endogenous fertility is given. We prove that the multiple growth paths and multiple steady states exist when the parameters \(\alpha\) and \(\theta\) satisfy \(2\alpha> 1+\theta\) and there is only one nonzero steady state and a unique growth path when \(2\alpha\leq 1+\theta\). So the dynamical system undergoes a bifurcation when \(2\alpha= 1+\theta\). We discuss the geometric properties of the multiple growth paths and explain the economic sense of the main results. Cited in 1 Document MSC: 91B62 Economic growth models Keywords:Cass-Koopmans model; multiple growth paths; multiple steady states; dynamical system; bifurcation PDFBibTeX XMLCite \textit{D. Cai}, Acta Math. Sci. (Chin. Ed.) 18, No. 3, 348--354 (1998; Zbl 0912.90049)