Перегляд за автором "Mitropolsky, Yu.A."

Сортувати за: Порядок: Результатів:

  • Bogolyubov averaging and normalization procedures in nonlinear mechanics. I 
    Mitropolsky, Yu.A.; Lopatin, A.K. (Український математичний журнал, 1994)
    A new method of asymptotic analysis of nonlinear dynamical systems is developed with extensive use of group-theoretical methods. The technique of normalization, which is named an "asymptotic decomposition" by the authors, ...
  • Bogolyubov averaging and normalization procedures in nonlinear mechanics. II 
    Mitropolsky, Yu.A.; Lopatin, A.K. (Український математичний журнал, 1994)
    By using a new method suggested in the first part of the present work, we study systems which become linear in the zero approximation and have perturbations in the form of polynomials. This class of systems has numerous ...
  • Bogolyubov averaging and normalization procedures in nonlinear mechanics. III 
    Mitropolsky, Yu.A.; Lopatin, A.K. (Український математичний журнал, 1994)
    We describe the technique of normalization based on the method of asymptotic decomposition in the space of representation of a finite-dimensional Lie group. The main topics of the theory necessary for understanding the ...
  • Investigations of the properties of solutions of impulsive differential systems in the linear approximation 
    Mitropolsky, Yu.A.; Borysenko, S.D.; Toscano, S. (2008)
    Проведено якiсний аналiз властивостей розв’язкiв нелiнiйних iмпульсних систем диференцiальних рiвнянь iз збуреннями на деяких гiперповерхнях {ti(x)}. Отримано новi умови обмеженостi, практичної стiйкостi за Четаєвим ...