A new paradigm in the logistic and similar maps: time stepping schemes

J. Alberto Conejero, Òscar Garibo-i-Orts,Carlos Lizama

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas（2024）

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摘要

We propose the qualitative mathematical analysis of discrete models by replacing the classical Euler scheme of order 1 with Lubich quadrature time-stepping schemes. As the first study with this new paradigm, we compare the bifurcation diagrams for the logistic and sine maps obtained from discretizations of orders 1, 2, and 1/2.

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关键词

Dynamical systems,Bifurcation diagrams,Logistic map,Sine map,Time-stepping schemes,65D32,65P20

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