Periodic structure of alternating continuous interval maps

DOI10.1080/10236190600772515zbMath1099.37028OpenAlexW1992634886MaRDI QIDQ5489349

Antonio Linero-Bas, Jose S. Cánovas

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/10236190600772515

zbMATH Keywords

discrete dynamical systemSharkovsky's theoremset of periodscontinuous interval mapsforcings

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Low-dimensional dynamical systems (37E99) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (21)

Periods of alternated systems generated by affine circle maps ⋮ Periodic orbits in periodic discrete dynamics ⋮ Examples on Perron effects in autonomous discrete systems ⋮ A new characterization of periodic oscillations in periodic difference equations ⋮ On problems of Topological Dynamics in non-autonomous discrete systems ⋮ Remarks on the characterization of periods of alternated systems ⋮ Periodic paths on nonautonomous graphs ⋮ Folding and unfolding in periodic difference equations ⋮ A remark on banks theorem ⋮ Full analogy of Sharkovsky's theorem for lower semicontinuous maps ⋮ What we need to find out the periods of a periodic difference equation ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ Pitchfork bifurcation for non-autonomous interval maps ⋮ Computing odd periods of alternating systems of affine circle 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 ⋮ Nonautonomous Graphs and Topological Entropy of Nonautonomous Lorenz Systems ⋮ Embedding and global stability in periodic 2-dimensional maps of mixed monotonicity ⋮ STABILITY OF ORBITS VIA LYAPUNOV EXPONENTS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS ⋮ Advances in Periodic Difference Equations with Open Problems

Cites Work

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• Global stability of periodic orbits of non-autonomous difference equations and population biology
• An extension of Sharkovsky's theorem to periodic difference equations
• The set of periods for a class of skew-products
• Control systems with stochastic feedback
• A Simple Proof of Sharkovsky's Theorem
• On the Periodic Structure of Delayed Difference Equations of the Form x n = f ( x n − k ) on I and S 1
• Periodic structure of \(\sigma\)-permutations maps on \(I^n\)

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