Petrovic’s Elements of Mathematical Phenomenology, from 1911, is published on 789 pages and Phenomenological Mappings, issue from 1933 on 33 pages, contain fundamental and basic ides, which from time to time appear in current scientific publications. These cited Petrovic’s publications contain general theory of Elements of Mathematical Phenomenology and Phenomenological Mappings, founded in 1911, but both books was published in Serbian and no visible from other word languages. Petrovic Mihaillo (1868-1943) [3] was Serbian scientist, and previously French Sorbonne student of famous scientists as Poincaré, Appall, Hermite, Picard, Painlevé, Bousinesq and other.

An approach to integration and reductions of models of dynamics in different area of sciences on the basis of qualitative, structural and mathematical analogies is presented. Some examples of qualitative /mathematical analogies on the basis of generalized Lissajous curvesore identify and presented. Qualitative /mathematical analogies between eigen main fractional order modes in dynamics of different physical fractional order systems are presented.