Titlebook: Attractivity and Bifurcation for Nonautonomous Dynamical Systems; Martin Rasmussen Book 2007 Springer-Verlag Berlin Heidelberg 2007 Nonaut

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Guillaume Flandin,Marianne J. U. Novaks intersections of attractors and repellers. In this chapter, nonautonomous generalizations of the Morse decomposition are established with respect to the notions of past and future attractivity and repulsivity. The dynamical properties of these decompositions are discussed, and nonautonomous Lyapun

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APO

Lucie Hertz-Pannier,Marion Noulhianepitchfork bifurcation, both for nonautonomous bifurcations and transitions..In this chapter, only the continuous case of ordinary differential equations is treated. For analogous results in the context of difference equations, see . [145].

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Attractivity and Bifurcation for Nonautonomous Dynamical Systems

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Hyaluronic-Acid

Guillaume Flandin,Marianne J. U. Novak the notions of past and future attractivity and repulsivity. The dynamical properties of these decompositions are discussed, and nonautonomous Lyapunov functions which are constant on the Morse sets are constructed explicitly. Furthermore, Morse decompositions of one-dimensional and linear systems are analyzed.

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Christoph Kayser,Nikos K. Logothetisthe solution, the so-called variational equation. In this chapter, methods are provided for the analysis of linear systems with respect to the notions of attractivity and repulsivity which have been introduced in Chapter 2.

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Neuroanatomy and Cortical Landmarksds goes back to . [136] and . [73]. In the sequel, the theory was extended from hyperbolic to nonhyperbolic systems, from finite to infinite dimension and from time-independent to time-dependent equations.