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   Approximate Conserved Quantities of Conservative Dynamical Systems in R ³

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: G. Ünal C.M. Khalique

   Approximate generalized symmetries associated with the resonances of conservative dynamical systems in R 3 have been discussed. It has been shown that an approximate first integral (conserved quantities) can be found from the knowledge of two conservative approximate symmetries. Furthermore,...

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2. 

   Approximate First Integrals of a Chaotic Hamiltonian System

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: G. Ünal C.M. Khalique G.F. Alişverişçi

   Approximate first integrals (conserved quantities) of a Hamiltonian dynamical system with two-degrees of freedom which arises in the modeling of galaxy have been obtained based on the approximate Noether symmetries for the resonance ω 1 = ω 2. Furthermore, Kolmogorov-Arnold-Moser...

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