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Integrability and non-integrability of periodic non-autonomous Lyness recurrences
Periodic di erence equations integrability non-integrability
2011/2/25
This paper studies non-autonomous Lyness type recurrences of the form xn+2 =(an + xn)=xn+1, where fangn is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k 2...
On the Non-integrability of a Class of Hamiltonian Cosmological Models
the Non-integrability Hamiltonian Cosmological Models
2010/10/15
The method of Morales and Ramis determines whether a given Hamiltonian system is non-integrable. We apply this method to Friedmann Robertson Walker models with a self-interacting scalar field and cosm...