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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_2Date: 2025Journal Homepage Editorial BoardImpressum   Singularities of three-dimensional billiards bounded by confocal quadrics 127 - 159 Gleb Belozerov and Anatoly Fomenko   AbstractKeywords: integrable Hamiltonian system; integrable billiard; Liouville foliation; confocal quadrics; Staude's constructionMSC: 37J20DOI: https://doi.org/10.2298/TAM250122021B Rolling geodesics on symmetric semi-Riemannian spaces 161 - 193 Velimir Jurdjevic   AbstractKeywords: Riemannian and semi-Riemannian manifolds; connections; parallel transport; isometries; Lie groups actions; Pontryagin maximum principle; extremal curves; integrable systemsMSC: 53C17; 53C22; 53B21; 53C25; 30C80; 26D05; 49J15; 58E40DOI: https://doi.org/10.2298/TAM250408015J Vortices for lake equations (review with questions and speculations) 195 - 216 Jair Koiller   AbstractKeywords: vortex motion; Riemann surfaces; lake equationsMSC: 76B47; 76M60; 34C23; 37E35DOI: https://doi.org/10.2298/TAM250109017K On the quasi-diagonalization and uncoupling of damped circulatory multi-degree-of-freedom systems 217 - 231 Ranislav M. Bulatović and Firdaus E. Udwadia   AbstractKeywords: linear multi-degree-of-freedom dynamical system; potential force; damping force; circulatory force; diagonalization and quasi-diagonalization; real change of coordinates; orthogonal transformation; dynamics; vibrationsMSC: 70J10; 34A30DOI: https://doi.org/10.2298/TAM250108014B Experimental observation of stabilization of tippe top spinning on a vibrating plane 233 - 245 Alexander A. Kilin and Yury L. Karavaev   AbstractKeywords: spherical top; vibrating plane; stabilization; experimentMSC: 74H45; 70-05; 70E50DOI: https://doi.org/10.2298/TAM241204001K High temperature solid mechanics: Mesoscale computational formulation 247 - 266 Siniša Đ. Mesarović   AbstractKeywords: sintering under stress; creep; grain growth; phase field; lattice continuumMSC: 74-10; 74A05; 74N25; 74A60; 74C20; 74F05DOI: https://doi.org/10.2298/TAM250605013M Linear stability of periodic trajectories in inverse magnetic billiards 267 - 283 Sean Gasiorek   AbstractKeywords: inverse magnetic billiards; linear stability; periodic orbits; periodic trajectoriesMSC: 37J25; 37J46; 70H12; 70H14; 78A35DOI: https://doi.org/10.2298/TAM250109020G Projective polygon recutting 285 - 295 Maxim Arnold and Samarth Das   AbstractKeywords: polygon recutting; integrable systemsMSC: 37J70; 37K10DOI: https://doi.org/10.2298/TAM250109016A Experimental study of tensor invariants of Hamiltonian systems 297 - 316 A. V. Tsiganov   AbstractKeywords: Hamiltonian systems; tensor invariants; superintegrable Kepler problem; non-integrable Hénon-Heiles systemMSC: 58J70; 34A34; 70H05DOI: https://doi.org/10.2298/TAM241217012T

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