Hacınlıyan, Avadis; Fırat, F. Gülay; Özel, R. Mert Chaotic behavior in a class of one-dimensional maps. (English) Zbl 0827.58038 Turk. J. Math. 16, No. 3, 210-217 (1992). Summary: In this work, mechanisms of transition into chaotic behavior in a slightly generalized form of the Verhulst map, \(x_{n + 1} = \lambda x^\alpha_n (1 - x_n)^\beta\), \(0 \leq x_n \leq 1\), \(\alpha > 0\), \(\beta > 0\), \(\lambda > 0\) are numerically studied. Transition to chaos via both the period doubling and intermittency routes are observed. The invariant distribution is studied, the nature of an observed attractor is clarified. MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 37E99 Low-dimensional dynamical systems Keywords:one-dimensional maps; Verhulst map; period doubling; intermittency PDFBibTeX XMLCite \textit{A. Hacınlıyan} et al., Turk. J. Math. 16, No. 3, 210--217 (1992; Zbl 0827.58038)