A q-deformed nonlinear map
Chaotic Dynamics
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.nlin/0408034,
title = {A q-deformed nonlinear map},
author = {Ramaswamy Jaganathan and Sudeshna Sinha},
journal= {arXiv preprint arXiv:nlin/0408034},
year = {2009}
}
Comments
17 pages, 19 figures