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Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations Dueñas Pamplona, Jesús Núñez Jiménez, María del Carmen Obaya, Rafael Matemáticas Álgebra Ecuaciones diferenciales Producción Científica 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. 2023-03-13 2023-03-13 2023 info:eu-repo/semantics/article Journal of Differential Equations, 2023, vol. 361, p. 138-182 0022-0396 https://uvadoc.uva.es/handle/10324/58921 10.1016/j.jde.2023.02.051 138 182 Journal of Differential Equations 361 eng https://www.sciencedirect.com/science/article/pii/S002203962300133X?via%3Dihub info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2023 The Authors Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier