Nonintegrability of the Armbruster-Guckenheimer-Kim Quartic Hamiltonian Through Morales-Ramis Theory
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Fecha
2018-01-09
Autores
Acosta-Humánez, P.
Alvarez-Ramírez, M.
Stuchi, T.J.
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Sociedad de Matemática Industrial y Aplicada
Resumen
We show the nonintegrability of the three-parameter Armburster--Guckenheimer--Kim quartic Hamiltonian using Morales--Ramis theory, with the exception of the three already known integrable cases. We use Poincaré sections to illustrate the breakdown of regular motion for some parameter values.
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Hamiltonian, Integrability of dynamical systems, Diferential Galois theory, Legendre equation, Schrodinger equation