A q-deformed nonlinear map

Details A q-deformed nonlinear map A q-deformed nonlinear map

2004-08-19

arxiv.org/abs/nlin/0408034v1

Nonlinear Sciences

Chaotic Dynamics

17 pages, 19 figures

Scientific paper

10.1007/BF02704567

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.

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