Full cascades of simple periodic orbits on the interval

DOI10.1007/BF02375371zbMath0937.37022OpenAlexW2049971222MaRDI QIDQ1962269

Ľubomír Snoha, V. Jiménez López

Publication date: 4 June 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02375371

zbMATH Keywords

solenoidpiecewise monotonecontinuous interval mapsimple periodic orbits

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)

Related Items

Asymptotical periodicity for analytic triangular maps of type less than \(2^\infty \)

Cites Work

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• Dynamics in one dimension
• There are no piecewise linear maps of type 2^{∞}
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• Chaotic Functions with Zero Topological Entropy
• Simple Periodic Orbits of Mappings of the Interval
• Periodic points and chaotic functions in the unit interval
• Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps