Topological analysis of pseudo-Euclidean Euler top for special values of the parameters

An analogue of the Euler top is considered for a pseudo-Euclidean space under consideration. In cases when geometric integral or area vanishes bifurcation diagrams moment map are constructed and homeomorphism class each leaf Liouville foliation determined. For arc diagram, one two possible mutual arrangement moments inertia, types singularities in preimage small neighbourhood this (analogues Fomenko 3-atoms) determined, nonsingular isoenergy isointegral surfaces an invariant rough equivalence (an molecule) constructed. The system turns out to have noncompact noncritical bifurcations. Bibliography: 23 titles.