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Journal Articles Journal of Dynamical and Control Systems Year : 2013

Continued g-fractions and geometry of bounded analytic maps

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Abstract

In this work we study qualitative properties of real analytic bounded maps. The main tool is approximation of real valued functions analytic in rectangular domains of the complex plane by continued g-fractions of Wall. As an application, the Sundman-Poincar\'e method in the Newtonian three-body problem is revisited and applications to collision detection problem are considered.

Dates and versions

ensl-03050906 , version 1 (10-12-2020)

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Alexei Tsygvintsev. Continued g-fractions and geometry of bounded analytic maps. Journal of Dynamical and Control Systems, 2013, ⟨10.1007/s10883-013-9200-9⟩. ⟨ensl-03050906⟩
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