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Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S +4 more
europepmc +1 more source

Critically fixed Thurston maps: classification, recognition, and twisting

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley +1 more source

Mating parabolic rational maps with Hecke groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett +3 more
wiley +1 more source

Analysis of hybrid fractional integro-differential equations with application to cholera dynamics. [PDF]