New method to obtain periodic solutions of period two and three of a rational difference equation
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Publication:494897
DOI10.1007/s11071-014-1660-2zbMath1331.39003OpenAlexW2017111730MaRDI QIDQ494897
Publication date: 2 September 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-014-1660-2
Additive difference equations (39A10) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Related Items (19)
Global behavior and the periodic character of some biological models ⋮ Asymptotic behavior of a new class of nonlinear rational difference equations ⋮ Global dynamics of a higher order difference equation with a quadratic term ⋮ Unnamed Item ⋮ Comment on ``New method to obtain periodic solutions of period two and three of a rational difference equation ⋮ Solution of the rational difference equation \(x_{n + 1} = \frac{x_{n-13}} {1+x_{n-1}x_{n-3}x_{n-5}x_{n-7}x_{n-9}x_{n-11}}\) ⋮ On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\) ⋮ Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\) ⋮ Qualitative properties of difference equation of order six ⋮ Interplay between strong Allee effect, harvesting and hydra effect of a single population discrete-time system ⋮ On a general system of difference equations defined by homogeneous functions ⋮ On a general homogeneous three-dimensional system of difference equations ⋮ Dynamical Behaviors of a Modified Lorenz–Stenflo Chaotic System ⋮ On the Dynamics of the Chaotic General Lorenz System ⋮ Global Behavior of a Higher-Order Nonlinear Difference Equation with Many Arbitrary Multivariate Functions ⋮ On the behavior of the solutions of an abstract system of difference equations ⋮ Expression and behavior of the solutions of some rational recursive sequences ⋮ On a three dimensional nonautonomous system of difference equations ⋮ Dynamical Behavior of a Third-Order Difference Equation with Arbitrary Powers
Cites Work
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- Dynamics of the difference equation \(x_{n+1}=p_n+\frac{x_{n-k}}{x_n}\) with a period-two coefficient
- Asymptotic behavior of equilibrium point for a class of nonlinear difference equation
- On the dynamics of the recursive sequence \(x_{n+1}=\frac{\alpha x_{n-1}}{\beta+\gamma\sum_{k=1}^tx_{n-2k}\prod_{k=1}^tx_{n-2k}}\)
- On the dynamics of a higher-order rational difference equation
- Solution and attractivity for a rational recursive sequence
- Some notes on the difference equation \(x_{n+1} = \alpha + (x_{n-1}/x^k_n)\)
- On difference equations motivated by modelling the heart
- On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\)
- On the solutions of systems of difference equations
- Dynamics of a higher order rational difference equation
- On the difference equation \(x_{n+1}=\alpha +x_{n - m}/x_{n}^{k}\)
- On the recursive sequence \(x_{n+1} = \alpha + \frac{x_{n-1}}{x_n^k}\)
- On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
- Global properties of a class of virus infection models with multitarget cells
- Solving systems of nonlinear difference equations by the multiple scales perturbation method
- Attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)F(x_{n-1},\dots,x_{n-k})\).
- Solution bounds of a new complex PMSM system
- On the difference equation \(x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})\)
- On the rational difference equation \(y_{n+1}= A+ \frac {y_{n-k}}{y_{n}}\)
- On the difference equation \(y_{n+1}=A + \frac {y_n}{y_{n-k}}\) with \(A < 0\)
- Period Three Implies Chaos
- Global behavior of solutions of
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