Finite-time attractivity and bifurcation for nonautonomous differential equations (Q609435)
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scientific article; zbMATH DE number 5821548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-time attractivity and bifurcation for nonautonomous differential equations |
scientific article; zbMATH DE number 5821548 |
Statements
Finite-time attractivity and bifurcation for nonautonomous differential equations (English)
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30 November 2010
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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.
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attractor
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dichotomy
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dichotomy spectrum
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finite-time dynamics
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nonautonomous differential equation
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nonautonomous bifurcation
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pitchfork bifurcation
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repeller
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transcritical bifurcation
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0.9395299
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0.93159014
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0.92157036
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0.91998315
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0.91659296
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0.91330975
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