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Birkhoff normal forms and KAM theory for Gumowski-Mira equation.


ABSTRACT: By using the KAM theory we investigate the stability of equilibrium solutions of the Gumowski-Mira equation: xn+1=(2ax n)/(1+x n2)-xn-1, n=0,1,…, where x-1, x0∈(-∞,∞), and we obtain the Birkhoff normal forms for this equation for different equilibrium solutions.

SUBMITTER: Kulenovic MR 

PROVIDER: S-EPMC3914609 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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