RT info:eu-repo/semantics/article
T1 Generalized pitchfork bifurcations in D-Concave nonautonomous scalar ordinary differential equations
A1 Dueñas Pamplona, Jesús
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
K1 Nonautonomous dynamical systems
K1 D-concave scalar ODEs
K1 Bifurcation theory
K1 Global attractors
K1 Minimal sets
K1 12 Matemáticas
AB The global bifurcation diagrams for two different one-parametric perturbations (+λx and+λx2 ) of a dissipative scalar nonautonomous ordinary differential equation x′ = f (t, x)are described assuming that 0 is a constant solution, that f is recurrent in t, and that itsfirst derivative with respect to x is a strictly concave function. The use of the skewproductformalism allows us to identify bifurcations with changes in the number of minimal sets andin the shape of the global attractor. In the case of perturbation +λx, a so-called generalizedpitchfork bifurcation may arise, with the particularity of lack of an analogue in autonomousdynamics. This new bifurcation pattern is extensively investigated in this work
PB Springer
SN 1040-7294
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/65981
UL https://uvadoc.uva.es/handle/10324/65981
LA eng
NO Journal of Dynamics and Differential Equations, 2023.
NO Producción Científica
DS UVaDOC
RD 24-nov-2024