Integrability and non-integrability of periodic non-autonomous Lyness recurrences
نویسندگان
چکیده
منابع مشابه
Integrability and non-integrability of periodic non-autonomous Lyness recurrences∗
This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an +xn+1)/xn, where {an} is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k ∈ {1, 2, 3, 6} the behavior of the sequence {xn} is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). We also show that the cases ...
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ژورنال
عنوان ژورنال: Dynamical Systems
سال: 2013
ISSN: 1468-9367,1468-9375
DOI: 10.1080/14689367.2013.821103