Advances in Radio Science
Advances in Radio Science
ARS
Articles | Volume 14
Articles | Volume 14
https://doi.org/10.5194/ars-14-51-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/ars-14-51-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 14
28 Sep 2016
 | 28 Sep 2016

Adapting the range of validity for the Carleman linearization

Harry Weber and Wolfgang Mathis

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Latest update: 01 May 2024
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Short summary
In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations which cannot be solved in general. Therefore, the infinite dimensional system has to be approximated by a finite one. The idea of this contribution is to use a Taylor series for the approximation of the infinite system.
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