Boundedness of solutions and stability of certain second-order difference equation with quadratic term

DOI10.1186/s13662-019-2490-9zbMath1487.39019OpenAlexW2999192434MaRDI QIDQ2144021

Esmir Pilav, Emin Bešo, Naida Mujić, Senada Kalabušić

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2490-9

zbMATH Keywords

stabilityinvariant setboundednessBirkhoff normal formdifference equationNeimark-Sacker bifurcation

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Bifurcation theory for difference equations (39A28)

Related Items (2)

Qualitative analysis of second-order fuzzy difference equation with quadratic term ⋮ Unnamed Item

Cites Work

• Positive dynamical systems in discrete time. Theory, models and applications
• A complete discrimination system for polynomials
• The global attractivity of difference equations of nonincreasing nonlinearities with applications.
• A global attractivity result for maps with invariant boxes
• Global attractivity of the equilibrium of  for q<p
• Stability analysis of Pielou's equation with period-two coefficient
• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
• Planar competitive and cooperative difference equations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Global dynamics of a Leslie host-parasite model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundedness of solutions and stability of certain second-order difference equation with quadratic term