Birkhoff Normal Forms and KAM Theory for Gumowski-Mira Equation

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

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Detalles Bibliográficos
Autores principales: Kulenović, M. R. S., Nurkanović, Z., Pilav, E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914609/
https://www.ncbi.nlm.nih.gov/pubmed/24558333
http://dx.doi.org/10.1155/2014/819290
Descripción
Sumario:By using the KAM theory we investigate the stability of equilibrium solutions of the Gumowski-Mira equation: x (n+1) = (2ax (n))/(1 + x (n) (2)) − x (n−1), n = 0,1,…, where x (−1), x (0) ∈ (−∞, ∞), and we obtain the Birkhoff normal forms for this equation for different equilibrium solutions.

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