Using the Logistic Map as Compared to the Cubic Map to Show the Convergence and the Relaxation of the Period–1 Fixed Point
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Date
2022-07
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Hindawi
Abstract
point of a system, speci cally, the period—1 xed point. e study has shown that the period—1 xed point of a logistic map
as a recurrence has its convergence at a transcritical bifurcation having its power-law t with exponent − 1 when 1
and 0. e cubic map shows its convergence to the xed point at a pitchfork bifurcation decaying at a power law with
exponent − (1/2) 1 and 0. However, the system shows their relaxation time at the same power law with exponents
and z − 1.
Description
This article is published by Hindawi 2022 and is also available at https://doi.org/10.1155/2022/1255614
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Citation
Hindawi International Journal of Mathematics and Mathematical Sciences Volume 2022, Article ID 1255614, 7 pages