Periodic and non-periodic solutions in a Ricker-type second-order equation with periodic parameters

DOI10.1080/10236198.2016.1187142zbMath1373.39010arXiv1602.02138OpenAlexW3101920088MaRDI QIDQ2964207

Nika Lazaryan, Hassan Sedaghat

Publication date: 23 February 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02138

zbMATH Keywords

periodic solutionsasymptotic stabilitylimit cycledichotomytriangular systemperiodic parameterssemiconjugate factorizationnon-periodicmultistable

Mathematics Subject Classification ID

Additive difference equations (39A10) Periodic solutions of difference equations (39A23) Chaotic behavior of solutions of difference equations (39A33)

Related Items (4)

Extinction and the Allee effect in an age structured Ricker population model with inter-stage interaction ⋮ A new no-equilibrium chaotic system and its topological horseshoe chaos ⋮ Analytic invariant curves for an iterative equation related to Ricker-type second-order equation ⋮ The Neimark-Sacker bifurcation and global stability of perturbation of sigmoid Beverton-Holt difference equation

Cites Work

• Unnamed Item
• Global dynamics in a stage-structured discrete-time population model with harvesting
• Form Symmetries and Reduction of Order in Difference Equations
• Extinction, periodicity and multistability in a Ricker model of stage-structured populations
• A note on periodic Ricker maps
• Why it is important to understand dynamics of triangular maps?
• Period Three Implies Chaos
• Global attractivity and convergence to a two-cycle in a difference equation
• Stability of a Ricker-type competition model and the competitive exclusion principle

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