On the dynamics of a higher-order difference equation

DOI10.1155/2012/263053zbMath1244.39016OpenAlexW1982443851WikidataQ58700427 ScholiaQ58700427MaRDI QIDQ444237

J. Herrera, H. S. Yoon

Publication date: 14 August 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/263053

zbMATH Keywords

equilibrium pointsdynamicshigher-order difference equation

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Cites Work

• On the difference equation \(x_{n+1}=\frac {x_{n-1}} {-1+x_{n}x_{n-1}}\)
• Oscillation of partial population model with diffusion and delay
• Qualitative properties of some higher order difference equations
• Qualitative behavior of a rational recursive sequence
• Permanence and the dynamics of biological systems
• On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
• On the positive solutions of the difference equation \(x_{n+1}=\frac {ax_{n-1}} {1+bx_{n}x_{n-1}}\)
• On the difference equation \(x_{n+1}=ax_n-bx_n/(cx_n-dx_{n-1})\)
• Dynamics of a rational difference equation
• Dynamics of a rational difference equation