On Iterated Positive Schwarzian Derivative Maps

DOI10.1142/S0218127403007527zbMath1064.37031MaRDI QIDQ4653853

Henrique M. Oliveira, José Sousa Ramos

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Schwarzian derivativetopological entropyFeigenbaum constantiterated mapsnonpolynomial maps

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Universal properties of maps on an interval
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• Feigenbaum theory for unimodal maps with asymmetric critical point: rigorous results
• A structure theorem in one dimensional dynamics
• Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points
• One-dimensional dynamics: The Schwarzian derivative and beyond
• Stable Orbits and Bifurcation of Maps of the Interval

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