Open circle maps: small hole asymptotics

DOI10.1088/0951-7715/26/1/307zbMath1276.37014arXiv1112.5390OpenAlexW2963493898MaRDI QIDQ4920063

Carl P. Dettmann

Publication date: 16 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5390

zbMATH Keywords

holeescapedoubling map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems with hyperbolic orbits and sets (37D05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (9)

Entropy continuity for interval maps with holes ⋮ Dimension of self-affine sets with holes ⋮ The local Hölder exponent for the dimension of invariant subsets of the circle ⋮ Escape-rate response to noise of all amplitudes in leaky chaos ⋮ Topological and ergodic properties of symmetric sub-shifts ⋮ Where and when orbits of chaotic systems prefer to go ⋮ Dimension of generic self-affine sets with holes ⋮ The -transformation with a hole at 0 ⋮ How sticky is the chaos/order boundary?

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