title: 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.
authors.affiliation: Department of Mathematics, University of Rhode Island, Kingston, RI 02881-0816, USA.
authors.forename: M R S
authors.initials: MR
authors.lastname: Kulenović
authors.affiliation: Department of Mathematics, University of Tuzla, 75000 Tuzla, Bosnia and Herzegovina.
authors.forename: Z
authors.initials: Z
authors.lastname: Nurkanović
authors.affiliation: Department of Mathematics, University of Sarajevo, 71000 Sarajevo, Bosnia and Herzegovina.
authors.forename: E
authors.initials: E
authors.lastname: Pilav
mesh_terms: D015233:Models, Statistical; D008962:Models, Theoretical