. "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Posp\u00ED\u0161il, Michal" . . "2"^^ . "[50C491AC109B]" . . . . "RIV/00216305:26220/13:PU105855" . . "Numerical approximation, first integral, curvature, mechanical system"@en . . . . "8" . "12"^^ . "We find conditions under which the first integral of an ordinary differential equation becomes a discrete Lyapunov function for its numerical discretization. This result is applied for precluding periodic and bounded orbits under discretization for several cases."@en . "Discretization of dynamical systems with first integrals"@en . "Discretization of dynamical systems with first integrals"@en . . "33" . "Fe\u010Dkan, Michal" . "We find conditions under which the first integral of an ordinary differential equation becomes a discrete Lyapunov function for its numerical discretization. This result is applied for precluding periodic and bounded orbits under discretization for several cases." . "Discretization of dynamical systems with first integrals" . "Discretization of dynamical systems with first integrals" . . . "10.3934/dcds.2013.33.3543" . "26220" . "P(ED0014/01/01), P(EE2.3.30.0005)" . "1078-0947" . . . "DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS" . "69847" . . "RIV/00216305:26220/13:PU105855!RIV15-MSM-26220___" . . "1"^^ . .