RT info:eu-repo/semantics/article
T1 Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations
A1 Dueñas Pamplona, Jesús
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
K1 Matemáticas
K1 Álgebra
K1 Ecuaciones diferenciales
K1 Nonautonomous dynamical systems
K1 D-concave scalar ODEs
K1 Bifurcation theory
K1 Minimal sets
K1 Sistemas dinámicos no autónomos
K1 EDO escalares D-cóncavas
K1 Teoría de la bifurcación
K1 Conjuntos mínimos
K1 12 Matemáticas
AB Two one-parametric bifurcation problems for scalar nonautonomous ordinary differential equations are analyzed assuming the coercivity of the time-dependent function determining the equation and the concavity of its derivative with respect to the state variable. The skewproduct formalism leads to the analysis of the number and properties of the minimal sets and of the shape of the global attractor, whose abrupt variations determine the occurrence of local saddle-node, local transcritical and global pitchfork bifurcation points of minimal sets and of discontinuity points of the global attractor.
PB Elsevier
SN 0022-0396
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/58921
UL https://uvadoc.uva.es/handle/10324/58921
LA eng
NO Journal of Differential Equations, 2023, vol. 361, p. 138-182
NO Producción Científica
DS UVaDOC
RD 08-may-2024