The local Hölder exponent for the entropy of real unimodal maps
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DOI: 10.1007/s11425-017-9293-7
Abstract: We consider the topological entropy h(θ) of real unimodal maps as a function of the kneading parameter θ (equivalently, as a function of the external angle in the Mandelbrot set). We prove that this function… read more here.
Keywords: lder exponent; real unimodal; unimodal maps; local lder ... See more keywords
Topological properties of Lorenz maps derived from unimodal maps
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DOI: 10.1080/10236198.2020.1760260
Abstract: A symmetric Lorenz map is obtained by ‘flipping’ one of the two branches of a symmetric unimodal map. We use this to derive a Sharkovsky-like theorem for symmetric Lorenz maps, and also to find cases… read more here.
Keywords: derived unimodal; properties lorenz; maps derived; unimodal maps ... See more keywords
Structural graph and backward asymptotics of tent-like unimodal maps
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DOI: 10.1080/10236198.2024.2407411
Abstract: The tent map family is arguably the simplest one-parametric family of maps with non-trivial dynamics and it is still an active subject of research. In recent works, the second author, jointly with J. Yorke, studied… read more here.
Keywords: graph backward; like unimodal; tent like; structural graph ... See more keywords
A note on the topological synchronization of unimodal maps
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DOI: 10.1088/1361-6544/ad95d5
Abstract: In this note we complete the analysis carried on in Caby et al (2023 Nonlinearity 36 3603–21) about the topological synchronisation of unimodal maps of the interval coupled in a master–slave configuration, by answering to… read more here.
Keywords: topological synchronization; note topological; measure; unimodal maps ... See more keywords