Local stability of period two cycles of second order rational difference equation
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Publication:1925544
DOI10.1155/2012/969813zbMath1255.39013OpenAlexW2094443081WikidataQ58700898 ScholiaQ58700898MaRDI QIDQ1925544
S. Atawna, Raghib M. Abu-Saris, Ishak Hashim
Publication date: 18 December 2012
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/969813
Related Items (2)
On the period-two cycles of \(x_{n + 1} = (\alpha + \beta x_n + \gamma x_{n - k})/(A + Bx_n + Cx_{n - k})\) ⋮ Global attractor of solutions of a rational system in the plane
Cites Work
- Global asymptotical stability of a second order rational difference equation
- Dynamics of a higher order rational difference equation
- Global behavior of solutions to two classes of second-order rational difference equations
- On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
- On the recursive sequence \(y_{n+1}=(p+y_{n-1})/(qy_n+y_{n-1})\)
- On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_n}{Bx_n+Cx_{n-1}}\).
- Global asymptotic behavior of \(y_{n+1}=(py_{n}+y_{n - 1})/(r+qy_{n}+y_{n - 1})\)
- Dynamics of a rational difference equation using both theoretical and computational approaches
- On the rational recursive sequence $ \ x_{n+1}=\Big ( A+\sum _{i=0}^k\alpha _ix_{n-i}\Big ) \Big / \sum _{i=0}^k\beta _ix_{n-i} $
- On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
- Boundedness of Positive Solutions of Second-order Rational Difference Equations
- Open problems and conjectures
- Global behaviour of solutions to a class of second-order rational difference equations when prime period-two solutions exist
- Global asymptotic stability of a second order rational difference equation
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