Peter Giesl  Asymptotically autonomous systems
This webpage summarises the results of the project Calculating the Basin of Attraction in Asymptotically Autonomous Dynamical Systems
together with Holger Wendland (University of Oxford), May 2010January 2011. The research was supported by the EPSRC Small Grants [EP/H051627/1, EP/I000860/1].
The results are published in
 P. Giesl and H. Wendland: Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems. Nonlinear Anal. Nonlinear Anal. 74
No. 10 (2011), 31913203.

P. Giesl and H. Wendland: Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems. Nonlinear Anal. 75
No. 5 (2012), 28232840.
This webpage contains the Matlab programs to calculate the basin of attraction of an
exponentially stable zero solution. The cases covered are
 Exponentially autonomous systems, where the righthand side f(t,x) converges exponentially fast towards to g(x) as t goes to infinity, onedimensional space variable x
 Polynomially autonomous systems, where the righthand side f(t,x) converges polynomially fast towards to g(x) as t goes to infinity, onedimensional space variable x
 Exponentially autonomous systems, where the righthand side f(t,x) converges exponentially fast towards to g(x) as t goes to infinity, twodimensional space variable x
Each part consists of an explanation and the Matlab files. The examples are taken from the above mentioned publications.
 Exponentially autonomous systems

Polynomially autonomous systems, 1D
 Polynomially autonomous systems, 2D
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Page last updated 30/12/11