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Theoretical and Applied MechanicsPublisher: Serbian Society of Mechanics and Mathematical Institute of the Serbian Academy of Sciences and Arts, BeogradISSN: 1450-5584Issue: 52_1Date: 2025Journal Homepage Editorial BoardImpressum Foreword: The 50th anniversary of Theoretical and Applied Mechanics   Vladimir Dragović   Generalized completely integrable systems 1 - 7 Velery V. Kozlov   AbstractKeywords: symplectic manifold; differential forms; distributions; Hamilton equations; Lie bracket; Poisson bracket; tensor invariants; complete integrabilityMSC: 37J35; 70G65DOI: https://doi.org/10.2298/TAM250110011K Unusual properties of adiabatic invariance in a billiard model related to the adiabatic Piston problem 9 - 16 Joshua Skinner and Anatoly Neishtadt   AbstractKeywords: adiabatic invariant; elastic collisionsMSC: 70H11DOI: https://doi.org/10.2298/TAM241121006S Point spectra and normal modes of the Rayleigh loaded string with damping 17 - 37 Francesco Fassò, Sara Galasso and Antonio Ponno   AbstractKeywords: Rayleigh loaded string; damped elastic string; viscous elastic string; Kelvin--Voigt viscoelastic string; band spectrumMSC: 35Q70; 74H45; 47J10DOI: https://doi.org/10.2298/TAM241213010F Theoretical and experimental investigations of the controlled motion of a roller racer 39 - 65 Alexander A. Kilin, Tatiana B. Ivanova, Yury L. Karavaev and Kirill S. Yefremov   AbstractKeywords: roller racer; nonholonomic constraint; viscous friction; control; periodic solutionMSC: 37J60; 70E60DOI: https://doi.org/10.2298/TAM241203010K On non-approximability of zero loss global $\mathcal L^2$ minimizers by gradient descent in deep learning 67 - 73 Thomas Chen and Patricia Muñoz Ewald   AbstractKeywords: deep learning; underparametrization; generic training data; zero lossMSC: 57R70; 62M45DOI: https://doi.org/10.2298/TAM250121008C On cusps of caustics by reflection in two dimensional projective Finsler metrics 75 - 86 Serge Tabachnikov   AbstractKeywords: caustic; Finsler billiards; projective Finsler metricsMSC: 78A05; 37C83; 53A04DOI: https://doi.org/10.2298/TAM250109004T Nipping analysis of a two-leaf spring strengthened by an additional full-length leaf 87 - 107 Vlado A. Lubarda and Marko V. Lubarda   AbstractKeywords: contact force; curvature; gap; leaf spring; maximum stress; nipping; spring constantMSC: 74K10; 74B05DOI: https://doi.org/10.2298/TAM241225007L On the existence of geodesic vector fields on closed surfaces 109 - 113 Vladimir S. Matveev   AbstractKeywords: geodesic vector fields; Riemann normal coordinates; geodesic normal coordinates; semi-geodesic coordinates; integrable geodesic flowMSC: 37J30; 53C22; 37J35; 70H06; 53B20DOI: https://doi.org/10.2298/TAM241210003M First steps towards the averaging with respect to a part of the coordinates 115 - 125 Ivan Polekhin   AbstractKeywords: periodic systems; averaging; rapid oscillations; infinite time interval; topological methods in dynamicsMSC: 34C29DOI: https://doi.org/10.2298/TAM250110005P

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