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Information × Registration Number 0201U004822, 0197U003101 , R & D reports Title Investigation of oscillating regimes and integral sets in determinate and stochastic dynamical systems. popup.stage_title Head Perestyuk M.O., Registration Date 25-04-2001 Organization Taras Shevchenko Kiev University popup.description2 By means of the direct Lyapunov method sufficient conditions of stability and instability of invariant sets for discontinuous dynamical systems were established. The ruduction principle for impulsive and singularly perturbed functional-differential equations and Ito stochastic systems was substantiated. On the basis of variational mathod, conditions for the existence of generalized and classical quasiperiodic solutions to Lagrangian systems on Riemannian manifolds of nonpositive cyrvature were established. We describe the phenomenon of bifurcation of Cantor set of invariant tori for Hamiltonian systems which arises as the result of perturbation of symplectic structure. Product Description popup.authors popup.nrat_date 2020-04-02 Close