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Finite-time attractivity and bifurcation for nonautonomous differential equations

  • Martin RasmussenEmail author
Original Research

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.

Keywords

Attractor dichotomy dichotomy spectrum finite-time dynamics nonautonomous differential equation nonautonomous bifurcation pitchfork bifurcation repeller transcritical bifurcation 

Mathematics Subject Classification (2000)

34A30 34D09 34D45 37B55 37G34 

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Copyright information

© Foundation for Scientific Research and Technological Innovation 2010

Authors and Affiliations

  1. 1.Department of MathematicsImperial CollegeLondonUK

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