2004/08/19 by Ramaswamy Jaganathan, Sudeshna Sinha · 2 citations
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1007/bf02704567
17 pages, 19 figures
arxiv created 2004/08/19 · arxiv updated 2009/12/01
A scheme of q-deformation of nonlinear maps is introduced. As a specific example, a q-deformation procedure related to the Tsallis q-exponential function is applied to the logistic map. Compared to the canonical logistic map, the resulting family of q-logistic maps is shown to have a wider spectrum of interesting behaviours, including the co-existence of attractors -- a phenomenon rare in one dimensional maps.