A New Paradigm in the Logistic and Similar Maps: Time Stepping Schemes
Journal
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie a: Matematicas
ISSN
1579-1505
Date Issued
2024
Author(s)
Abstract
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. © The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid 2024.