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Finite-time attractivity and bifurcation for nonautonomous differential equations

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Abstract

The aim of this article 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 bifurcation.

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Authors and Affiliations

  1. Department of Mathematics, Imperial College, London, SW7 2AZ, UK

    Martin Rasmussen

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  1. Martin Rasmussen
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Correspondence to Martin Rasmussen.

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This work is dedicated to the memory of my supervisor Professor Bernd Aulbach

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Rasmussen, M. Finite-time attractivity and bifurcation for nonautonomous differential equations. Differ Equ Dyn Syst 18, 57–78 (2010). https://doi.org/10.1007/s12591-010-0009-7

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