2026-05-05T19:35:28Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/589232023-03-13T20:00:30Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Campos, Juan Núñez Jiménez, María del Carmen Obaya, Rafael 2023-03-13T14:03:50Z 2023-03-13T14:03:50Z 2023 Journal of Differential Equations, 2023, vol. 361, p. 248-287 0022-0396 https://uvadoc.uva.es/handle/10324/58923 10.1016/j.jde.2023.02.060 248 287 Journal of Differential Equations 361 Producción Científica The paper analyzes the structure and the inner long-term dynamics of the invariant compact sets for the skewproduct flow induced by a family of time-dependent ordinary differential equations of nonhomogeneous linear dissipative type. The main assumptions are made on the dissipative term and on the homogeneous linear term of the equations. The rich casuistic includes the uniform stability of the invariant compact sets, as well as the presence of Li-Yorke chaos and Auslander-Yorke chaos inside the attractor. MINECO-Feder (RTI2018-098850-B-I00) Junta de Andalucía (PY18-RT-2422 y B-FQM-580-UGR20) Ministerio de Ciencia e Innovación (PID2021-125446NB-100) Universidad de Valladolid (PIP-TCESC-2020) application/pdf eng Elsevier info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2023 The Authors Attribution-NonCommercial-NoDerivatives 4.0 Internacional Matemáticas Ecuaciones diferenciales Nonautonomous ordinary differential equations Dissipativity and global attractor Chaotic dynamics Ecuaciones diferenciales ordinarias no autónomas Disipatividad y atractor global Dinámica caótica 12 Matemáticas 1202.07 Ecuaciones en Diferencias Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://www.sciencedirect.com/science/article/pii/S0022039623001420?via%3Dihub SI