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

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

ScientificWorldJournal

Department of Mathematics, University of Sarajevo, 71000 Sarajevo, Bosnia and Herzegovina.

Published: October 2014

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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914609PMC
http://dx.doi.org/10.1155/2014/819290DOI Listing

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