A new paradigm in the logistic and similar maps: time stepping schemes
[EN] 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 discre...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/229558 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/229558 |
| Access Level: | acceso abierto |
| Palabra clave: | Dynamical systems Bifurcation diagrams Logistic map Sine map Time-stepping schemes |
| Sumario: | [EN] 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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