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Front Page Theoretical and Applied MechanicsPublisher: Serbian Society of Mechanics and Mathematical Institute of the Serbian Academy of Sciences and Arts, BeogradISSN: 1450-5584Issue: 43_2Date: 2016Journal Homepage
 

Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko--Fomenko conjecture 145 - 168
Alexey V. Bolsinov  
AbstractKeywords: Poisson-Lie bracket; complete integrability; field extension; Mischenko-Fomenko conjecture; chains of subalgebras; shifting of argumentMSC: 37J35; 17B80; 70H06; 53D17; 17B63DOI: 10.2298/TAM161111012B
Dynamics of a body sliding on a rough plane and supported at three points 169 - 190
Alexey V. Borisov, Ivan S. Mamaev and Nadezhda N. Erdakova  
AbstractKeywords: dry friction; linear pressure distribution; planar motion; Coulomb's law; asymptotic motion; dynamics; tripodMSC: 70F40; 70E18DOI: 10.2298/TAM161130013B
On Hamel's equations 191 - 220
Dmitry V. Zenkov  
AbstractKeywords: infinite-dimensional mechanics; nonholonomic constraints; variational integratorsMSC: 70H30; 70F25; 37J60;74F99DOI: 10.2298/TAM160612011Z
Billiards in confocal quadrics as a pluri-Lagrangian system 221 - 228
Yuri B. Suris  
AbstractKeywords: confocal quadrics; billiard; integrable systems; variational principles; integrals of motion; commuting flowsMSC: 37J35; 70G75; 70H30DOI: 10.2298/TAM160304008S
On the entire and finite valued solutions of the three-body problem 229 - 253
Alexandr Belyaev  
AbstractKeywords: three-body problem; factorization of the flow; first integral; singular points; analytic functions; entire functions; compact holomorphic manifold; holomorphic foliationMSC: 55R55; 34M30; 74H10 34M45; 74H05DOI: 10.2298/TAM160126010B
Noether symmetries and integrability in time-dependent Hamiltonian mechanics 255 - 273
Božidar Jovanović  
AbstractKeywords: symmetries; the principle of stationary action; Poincaré--Cartan form; contact Hamiltonin vector fields; Noether theoremMSC: 37J15; 37J35; 37J55; 70H25; 70H33DOI: 10.2298/TAM160121009J
 




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