Journal
PHYSICS LETTERS A
Volume 338, Issue 3-5, Pages 277-287Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2005.02.042
Keywords
nonlinear dynamics; logistic map; q-deformation; Tsallis statistics
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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. (c) 2005 Elsevier B.V. All rights reserved.
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