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A q-deformed nonlinear map

Ramaswamy Jaganathan·Sudeshna Sinha
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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.

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Ramaswamy Jaganathan, Sudeshna Sinha. 2004-08-19. A q-deformed nonlinear map. https://doi.org/10.1007/bf02704567

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