Renormalisation in implicit complex maps

DOI10.1016/0167-2789(89)90001-8zbMath0694.58037OpenAlexW2025983692MaRDI QIDQ909320

Andrew H. Osbaldestin, Ben D. Mestel

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90001-8

zbMATH Keywords

invariant circlebi-quadratic map

Mathematics Subject Classification ID

Rational and birational maps (14E05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points

Cites Work

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• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Universal properties of maps of the circle with \(\epsilon\)-singularities
• An iterated implicit complex map
• Erratic behavior of invariant circles in standard-like mappings
• Fractal measures and their singularities: The characterization of strange sets
• Dynamics of quadratic correspondences
• Smooth conjugacy and renormalisation for diffeomorphisms of the circle