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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: 46_1Date: 2019Journal Homepage Editorial BoardImpressum   Sergey Alexeyevich Chaplygin   Vladimir Dragović   In memoriam: Djordje Djukić (1943--2019)   Livija Cvetićanin   On the dynamics of systems with one-sided non-integrable constraints 1 - 14 Valery V. Kozlov   AbstractKeywords: non-integrable constraints; servoconstraints; non-holonomic mechanics; vakonomic mechanics; one-sided constraint; unilateral constraintMSC: 70F25; 70H45DOI: https://doi.org/10.2298/TAM190123005K Cartan meets Chaplygin 15 - 46 Kurt M. Ehlers and Jair Koiller   AbstractKeywords: nonholonomic systems; reduction; hamiltonization; Cartan equivalenceMSC: 37J60; 53D15; 70F25; 70G45; 70H45DOI: https://doi.org/10.2298/TAM190116006E Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results 47 - 63 A. T. Fomenko and V. V. Vedyushkina   AbstractKeywords: integrable systems; topological billiards; Liouville equivalence; Minkowski space; geodesic flows; Fomenko--Zieschang invariantsMSC: 37J15; 37J35DOI: https://doi.org/10.2298/TAM181215001F Hamiltonisation, measure preservation and first integrals of the multi-dimensional rubber Routh sphere 65 - 88 Luis C. García-Naranjo   AbstractKeywords: nonholonomic systems; Hamiltonisation; multi-dimensional rigid body dynamics; symmetries and reduction; Chaplygin systemsMSC: 37J60; 70G45DOI: https://doi.org/10.2298/TAM190130004G Admissibility of a solution to generalized Chaplygin gas 89 - 96 Marko Nedeljkov   AbstractKeywords: generalized Chaplygin model; delta shocks; fluc perturbationMSC: 35L67; 35L67; 76L05DOI: https://doi.org/10.2298/TAM190116002N Note on a ball rolling over a sphere: integrable Chaplygin system with an invariant measure without Chaplygin Hamiltonization 97 - 108 Božidar Jovanović   AbstractKeywords: nonholonomic Chaplygin systems; invariant measure; integrabilityMSC: 37J60; 37J15; 70E18DOI: https://doi.org/10.2298/TAM190322003J

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