A general method for studying quadratic perturbations of the third-order Lyness difference equation
نویسندگان
چکیده
منابع مشابه
Dynamics of the Third Order Lyness’ Difference Equation
This paper studies the iterates of the third order Lyness’ recurrence xk+3 = (a + xk+1 + xk+2)/xk, with positive initial conditions, being a also a positive parameter. It is known that for a = 1 all the sequences generated by this recurrence are 8-periodic. We prove that for each a 6= 1 there are infinitely many initial conditions giving rise to periodic sequences which have almost all the even...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-193