Seminars: M. V. Shamolin, First integrals of odd-order systems with dissipation

SEMINARS


June 4, 2020, XV International Conference "Stability and Oscillations of Nonlinear Control Systems". (Moscow, June 3–5 2020)

First integrals of odd-order systems with dissipation M. V. Shamolin Lomonosov Moscow State University
Abstract: In this activity, we show the integrability for some classes of odd-order (third-, fifth-, seventh-, and ninth-) dynamic systems homogeneous in part of variables, in which a system on the tangent bundle of smooth manifolds is separated. Herewith, the force field is separated on both internal (conservative) and external one, which possesses the dissipation of alternating signs, and generalize the fields considered earlier.