Linear response for systems with a cusp

Davrbek Oltiboev

Chaos, Solitons & Fractals, 2025, vol. 200, issue P1

Abstract: In this note we consider a tent-like family with a cusp at the singular point and show that the linear response holds for certain perturbations of this family. This contrasts the tent-like maps with finite derivatives at the singularity. Our results extend the results of Bahsoun and Galatolo (2024) to the larger class of singularities and we obtain the linear response formula in Lp for p>1.

Keywords: Linear response; A tent-like family; Invariant measure; Statistically stable; Invariant probability density; Spectral gap (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009579

DOI: 10.1016/j.chaos.2025.116944

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