Grinchenko E. Geometrical design of decisions of equation Duffing at development mechanical systems with span-through

Object - process of fluctuations of mechanical systems with span-through; the purpose - to develop algorithmic maintenance of geometrical modeling and visualization of decisions of equation Duffing as mathematical device of research of process span-through mechanical designs such as Mezes farm; methods - the decision of a problem are carried out on the basis of the theory of invariant sets of dy-namic systems, the theory of fluctuations, the differ-ential equations and calculus mathematics; theoreti-cal and practical results - the method of geometrical modeling of decisions of equation Duffing is devel-oped depending on entrance parameters and entry conditions as graphicanalytical the device of research of process span-through mechanical designs of proof-readers of rigidity; scientific novelty - the way of construction of decisions of equation Duffing on a field isoclines for the first time is developed, for the first time is described graphicanalytical a way of definition of periodic orbits of phasetrajectories of equation Duffing as criterion to keep separating from chaos, has received the further advanced graphicana-lytical a way of definition of stability of the chaotic fluctuations described by the equation such as Duffing, the way of construction of the staff of ani-mation of change of phase trajectories of equation Duffing for revealing critical values of parameters for the first time is developed; a degree of introduc-tion - it is introduced into KB of Open Society "PO-LYGRAFMASH", on Open Society "AL-CHEVSCCOCS"; sphere of use geometrical model-ing of processes span-through and processes of "jumps" of other physical nature.