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The study reveals several notable dynamical features: (i) tongue-like regions of chaotic attractors reminiscent of Arnold tongues associated with periodic responses; (ii) chaotic regimes with fractal basin boundaries; (iii) the emergence of entangled basins in parameter space, indicating extreme sensitivity of attractor selection to frictional micro-mechanics; and (iv) pronounced topological changes in Poincar\u00e9 sections induced by variations in the Armstrong-H\u00e9louvry parameters. These findings provide new insight into the structure of oscillations in systems governed by the Armstrong-H\u00e9louvry friction model. Numerical simulations are performed using a variable-step Adams\u2013Bashforth\u2013Moulton explicit\u2013implicit scheme combined with multiprecision arithmetic to ensure reliable long-time integration.<\/jats:p>","DOI":"10.1063\/5.0333432","type":"journal-article","created":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T12:05:43Z","timestamp":1778846743000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Armstrong-H\u00e9louvry friction oscillator: Emergence of entangled chaotic and multiperiodic structures in parameter space"],"prefix":"10.1063","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9426-0791","authenticated-orcid":false,"given":"Sergey V.","family":"Kuznetsov","sequence":"first","affiliation":[{"name":"Moscow State University of Civil Engineering Department of Structural and Theoretical Mechanics, , Moscow,","place":["Russia"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"317","published-online":{"date-parts":[[2026,5,15]]},"reference":[{"issue":"6","key":"2026051508053744400_c1","doi-asserted-by":"publisher","first-page":"1573","DOI":"10.1073\/pnas.57.6.1573","article-title":"Entropy, a complete metric invariant for automorphisms of the torus","volume":"57","year":"1967","journal-title":"Proc. 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