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Wolf von Wahl

Analytic integrals and Poincaré’s centre problem

Keywords: dynamical systems, periodic solutions

As for Poincaré’s centre-problem Poincaré [3] himself assumed that if the origin is a centre then there is an integral (constant of motion) being analytic in a neighborhood of the origin. We are going to prove this assumption and vice versa in a concise way by using techniques developed by C. L. Siegel [6].

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 25, 04/2005
Pages: 275 - 279

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