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Information × Registration Number 0216U002484, 0113U004203 , R & D reports Title Mathematical software development and design of informative processes popup.stage_title Head Vasiliy Belozyorov, Доктор фізико-математичних наук Registration Date 21-03-2016 Organization Dniepropetrovsk national university popup.description2 Object of study - a three-dimensional system of ordinary differential equations and square modern software tools for parallel programming. One of the two main purposes of research is to analyze the occurrence of chaotic dynamics of quadratic systems of differential equations. For some types of three-dimensional systems of differential equations quadratic found new conditions of existence and homoklinychnyh heteroklinychnyh orbits. Implementation of these terms and conditions consistent with the known theorems Shylnikova guarantees the existence of chaotic attractors in autonomous quadratic systems.The second goal is to develop procedures and software tools to realizuyuty theoretical results obtained in this report. The method of research - modern methods of the theory of differential equations and algebraic invariant external analysis. The results - given the conditions of existence of invariant cone resistance for one type of quadratic systems; on the basis of conditions investigated are known in the mathematical theory of Lorentz model and Chen. Besides these new types of chaotic attractors quadratic systems. A new module for writing parallel programs on the algorithmic language Fortan using MPI. Also developed integrated assessment, which allows you to compare the various qualities assess the state of functional areas.Novelty development - all results obtained in the report are new. This is confirmed by renowned authors in publishing foreign editions. SYSTEM OF DIFFERENTIAL EQUATIONS, STABILITY, POLOTION OF BALANCE, BIFURCATION, HOMOKLINICHNA ORBIT, CHAOS, PARALLEL PROGRAMMING, INTEGRAL EVALUATION Product Description popup.authors Гук Н.А. Зайцев В.Г Золотько К.Є. Саричев В.І. Степанова Н.І. Яровенко Т.С. Ясько М.М. popup.nrat_date 2020-04-02 Close