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Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems

Abstract:

Numerical methods to determine the basin of attraction for autonomous equations focus on a bounded subset of the phase space. For non-autonomous systems, any relevant subset of the phase space, which now includes the time as one coordinate, is unbounded in t-direction. Hence, a numerical method would have to use infinitely many points. To overcome this problem, we introduce a transformation of the phase space. Restricting ourselves to exponentially asymptotically autonomous systems, we can m...

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Publication date:
2010-08-23
URN:
uuid:16e92e75-f9f7-4099-b668-cab30ff06418
Local pid:
oai:eprints.maths.ox.ac.uk:978

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