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On the existence and the number of limit cycles in evolutionary games

Moreira, Helmar Nunes and Araujo, Ricardo Azevedo (2011): On the existence and the number of limit cycles in evolutionary games.

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Abstract

In this paper it is shown that an extended evolutionary system proposed by Hofbauer and Sigmund (1998) may be transformed into a Kukles system. Then a Dulac-Cherkas function related to the Kukles system is derived, which allows us to determine the number of limit cycles or its non-existence.

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