Document Type

Article

Date of Original Version

1-16-2014

Abstract

By using the KAMtheory we investigate the stability of equilibrium solutions of the Gumowski-Mira equation: � �+1 = (2�� � )/(1 + � 2 � )−� �−1 ,� = 0, 1, . . ., where � −1 , � 0 ∈ (−∞,∞), and we obtain the Birkhoff normal forms for this equation for different equilibrium solutions.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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