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Global periodicity conditions for maps and recurrences via Normal Forms
(2012-05-04)
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Altres.
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We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions ...
Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)
(2011-12-22)
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Altres.
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This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the ...
Integrability and non-integrability of periodic non-autonomous Lyness recurrences
(2010-12-22)
Altres.
Accés obert
Altres.
Accés obert
This paper studies non-autonomous Lyness type recurrences of the form x_{n+2}=(a_n+x_n)/x_{n+1}, where a_n is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k in {1,2,3,6} the ...