RT info:eu-repo/semantics/article
T1 Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations
A1 Campos, Juan
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
K1 Matemáticas
K1 Ecuaciones diferenciales
K1 Nonautonomous ordinary differential equations
K1 Dissipativity and global attractor
K1 Chaotic dynamics
K1 Ecuaciones diferenciales ordinarias no autónomas
K1 Disipatividad y atractor global
K1 Dinámica caótica
K1 12 Matemáticas
K1 1202.07 Ecuaciones en Diferencias
AB 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.
PB Elsevier
SN 0022-0396
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/58923
UL https://uvadoc.uva.es/handle/10324/58923
LA eng
NO Journal of Differential Equations, 2023, vol. 361, p. 248-287
NO Producción Científica
DS UVaDOC
RD 17-jul-2024