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Information × Registration Number 0216U005422, 0110U004819 , R & D reports Title Algebro-geometric methods of stydy of invariant structures on manifolds and relativistic eguations of mathematical and theoretical physics popup.stage_title Head Pelykh Volodymyr.Mykytjuk Ihor, Registration Date 26-01-2016 Organization Pidstryhach Institute of Applied Problems of Mechanics and Mathematics NAS of Ukraine popup.description2 Grounded theory of Li-algebraic and differential-geometric methods of investigation of nonlinear dynamical systems on functional manifolds and super manifols several independent variables and their invariant reductions, and obtained a priori integrable dynamical systems; new methods of construction and study of invariant Ricci-flat Keler, hiperkeler and Poisson structures on cotangent bundles of compact manifolds homogeneous groups and orbits Lie algebra representation; studied combinatorial properties of graphs, charts associated with textures; developed algebraic, combinatorial and topological invariants of knots methods and algorithms built-index calculation Brady classical and singular textures; studied discrete dynamical systems Morse-Smale in low-dimensional manifolds; developed efficient algorithms for constructing images straight planar graphs; complexity analysis of combinatorial optimization problems for geometrically constructed graphs found; macro-characterization of Cantor set studied; studied approximations of nonlinear systems of differential-difference equations with many delay and quasilinear functional differential equations;the theory of noncommutative determinants studied; new methods approximation hypergeometric functions of several variables with continued fractions developed;, developed new approaches to solving Maxwell's equations in Riemannian spaces; developed methods of solutions of the equations of motion of particles with spin in curved spaces; modeling conducted based on magneto-hydrodynamics flows with shock waves in supernova remnants with regard to radiation losses plasma. Product Description popup.authors Вербіцький О.В. Кирчей І.І. Коржик В.П. Кучмінська Х.Й. Мацюк Р.Я. Микитюк І.В. Пелих В.О. Петришин Р.І. Петрук О.Л. Плахта Л.П. Пляцко Р.М. Черевко І.М. popup.nrat_date 2020-04-02 Close