Dovbysh Sergei Aleksandrovich

Publications in Math-Net.Ru

1. The splitting of separatrices, the branching of solutions, and nonintegrability of many-dimensional systems. Application to the problem of the motion of a spherical pendulum with an oscillating suspension point
   
   Fundam. Prikl. Mat., 19:3 (2014),  23–90
2. Optimal Lyapunov metrics of expansive homeomorphisms
   
   Izv. RAN. Ser. Mat., 70:5 (2006),  31–78
3. Optimal Lyapunov metrics of homeomorphisms admitting a hyperbolic structure
   
   Uspekhi Mat. Nauk, 57:4(346) (2002),  173–174
4. Intersection of separatrices and the non-integrability of multidimensional systems
   
   Uspekhi Mat. Nauk, 55:3(333) (2000),  179–180
5. Transversal intersection of separatrices, the structure of the set of quasi-stochastic motions and the non-existence of an analytic integral in multidimensional systems
   
   Uspekhi Mat. Nauk, 51:4(310) (1996),  153–154
6. Splitting of separatrices of unstable uniform rotations and nonintegrability of a perturbed Lagrange problem
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 3,  70–77
7. Structure of the Kolmogorov set near separatrices of a two-dimensional mapping
   
   Mat. Zametki, 46:4 (1989),  112–114
8. The splitting of separatrices and the generation of isolated periodic solutions in Hamiltonian systems with one and a half degrees of freedom
   
   Uspekhi Mat. Nauk, 44:2(266) (1989),  229–230
9. Kolmogorov tori in some nonintegrable systems that do not contain a small parameter
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 2,  36–39


10. Современная механика и робототехника для школьников
    
    Kvant, 2010, no. 1,  55–56