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Finite-time attractivity and bifurcation for nonautonomous differential equations. (English) Zbl 1213.34070
The aim of the paper is to introduce nonautonomous and finite-time versions of central concepts from the theory of dynamical systems such as attractivity and bifurcation. The discussion includes an appropriate spectral theory for linear systems as well as finite-time analogues of the well-known transcritical and pitchfork bifurcations. The introduced notions are illustrated by several examples.
MSC:
34D45Attractors
34D09Dichotomy, trichotomy
37B55Nonautonomous dynamical systems
37G35Attractors and their bifurcations
34C23Bifurcation (ODE)
References:
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