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Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Morel, J.-M ; Takens, F ; Teissier, B

Lecture notes in mathematics, 2007, Vol.1907 [Periódico revisado por pares]

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Título:
Attractivity and Bifurcation for Nonautonomous Dynamical Systems
Autor: Morel, J.-M ; Takens, F ; Teissier, B
Assuntos: Bifurcation theory ; Differentiable dynamical systems ; Differential equations, Linear ; Dynamical Systems and Ergodic Theory ; Exact sciences and technology ; General mathematics ; General, history and biography ; Mathematics ; Mathematics and Statistics ; Ordinary Differential Equations ; Sciences and techniques of general use
É parte de: Lecture notes in mathematics, 2007, Vol.1907
Descrição: Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions.
Títulos relacionados: Lecture Notes in Mathematics
Editor: Berlin, Heidelberg: Springer Berlin / Heidelberg
Formato: 221
Idioma: Inglês

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