On the periodic logistic equation

DOI10.1016/j.amc.2005.12.016zbMath1109.90010OpenAlexW2148753083MaRDI QIDQ850269

Ziyad AlSharawi, James R. Angelos

Publication date: 15 November 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11073/16689

zbMATH Keywords

periodic solutionsattractorslogistic mapnon-autonomousSinger's theorem

Mathematics Subject Classification ID

Related Items (15)

Non-autonomous periodic systems with Allee effects ⋮ Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics ⋮ Periodic orbits in periodic discrete dynamics ⋮ A new characterization of periodic oscillations in periodic difference equations ⋮ Dynamical regimes due to technological change in a microeconomical model of production ⋮ EXISTENCE AND STABILITY OF PERIODIC ORBITS OF PERIODIC DIFFERENCE EQUATIONS WITH DELAYS ⋮ A note on global stability in the periodic logistic map ⋮ Symbolic dynamics and renormalization of non-autonomouskperiodic dynamical systems ⋮ Pitchfork bifurcation for non-autonomous interval maps ⋮ Computing topological entropy for periodic sequences of unimodal maps ⋮ Stability in the family of \(\omega \)-limit sets of alternating systems ⋮ The ω-limit sets of alternating systems ⋮ LOCAL BIFURCATION IN ONE-DIMENSIONAL NONAUTONOMOUS PERIODIC DIFFERENCE EQUATIONS ⋮ Breaking Points in Quartic Maps ⋮ Advances in Periodic Difference Equations with Open Problems

Cites Work

• Global stability of periodic orbits of non-autonomous difference equations and population biology
• The effects of seasonality on discrete models of population growth
• An extension of Sharkovsky's theorem to periodic difference equations
• Periodic solutions of population models in a periodically fluctuating environment
• Attractors for discrete periodic dynamical systems.
• Multiple attractors and resonance in periodically forced population models
• Stable Orbits and Bifurcation of Maps of the Interval
• On the periodically perturbed logistic equation
• Simple mathematical models with very complicated dynamics
• On the structure of attractors for discrete, periodically forced systems with applications to population models
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