Pitchfork bifurcation for non-autonomous interval maps

DOI10.1080/10236190802258669zbMath1185.37099OpenAlexW2053691198MaRDI QIDQ3615528

D'Aniello, Emma, Henrique M. Oliveira

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1080/10236190802258669

zbMATH Keywords

logistic mapunimodal mappitchfork bifurcationnon-autonomous systembimodal mapattracting periodic orbit

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Low-dimensional dynamical systems (37E99)

Related Items (9)

Non-autonomous periodic systems with Allee effects ⋮ Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics ⋮ The structure of \(\omega\)-limit sets of asymptotically non-autonomous discrete dynamical systems ⋮ 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

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• An extension of Sharkovsky's theorem to periodic difference equations
• On the periodic logistic equation
• On the bifurcation of maps of the interval
• Global Dynamics of Some Periodically Forced, Monotone Difference Equations
• Hypergraphic Functions and Bifurcations in Recurrence Relations
• Stable Orbits and Bifurcation of Maps of the Interval
• Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures
• Periodic structure of alternating continuous interval maps

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