<p>In this paper, we discuss the integrability of some classes of homogeneous (with respect to a part of variables) ninth-order dynamic systems, in which a system on the tangent bundle to fourdimensional manifolds is separated. In this case, force fields have alternating dissipation and generalize examples considered earlier.</p>

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Examples of Ninth-Order Integrable Dynamic Systems with Dissipation

  • M. V. Shamolin

摘要

In this paper, we discuss the integrability of some classes of homogeneous (with respect to a part of variables) ninth-order dynamic systems, in which a system on the tangent bundle to fourdimensional manifolds is separated. In this case, force fields have alternating dissipation and generalize examples considered earlier.