Double standard maps
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Publication:2385032
DOI10.1007/s00220-007-0223-5zbMath1123.37016OpenAlexW2016713255WikidataQ57920682 ScholiaQ57920682MaRDI QIDQ2385032
Michał Misiurewicz, Ana Rodrigues
Publication date: 11 October 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-007-0223-5
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the circle (37E10) Periodic orbits of vector fields and flows (37C27) Universality and renormalization of dynamical systems (37E20)
Related Items (11)
Cutpoints of invariant subcontinua of polynomial Julia sets ⋮ On a family of rational perturbations of the doubling map ⋮ Locally connected models for Julia sets ⋮ Expansion properties of double standard maps ⋮ The parameter planes of \(\lambda z^m \exp(z)\) for \(m \geq 2\) ⋮ Real saddle-node bifurcation from a complex viewpoint ⋮ Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis ⋮ Decay of geometry for Fibonacci critical covering maps of the circle ⋮ Connectedness of the Arnold tongues for double standard maps ⋮ Non-generic cusps ⋮ Tips of tongues in the double standard family*
Cites Work
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- The scaling of Arnol'd tongues for differentiable homeomorphisms of the circle
- Bifurcations and stability of families of diffeomorphisms
- Universality of critical circle covers
- The set of maps \(F_{a,b}:x\mapsto x+a+{b\over 2\pi}\sin(2\pi x)\) with any given rotation interval is contractible
- Expanding endomorphisms of the circle revisited
- Iteration of meromorphic functions
- Branched derivatives
- Small denominators. I. Mappings of the circumference onto itself
- Julia sets of expanding polymodials
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