Batkhin Alexander Borisovich

Publications in Math-Net.Ru

1. Symbolic computation of an arbitrary-order resonance condition in a Hamiltonian system
   
   Proceedings of ISP RAS, 35:4 (2023),  197–218
2. Calculation of a strong resonance condition in a Hamiltonian system
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:5 (2023),  697–714
3. Real normal form of a binary polynomial at a second-order critical point
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023),  3–15
4. Computation of asymptotic forms of solutions to system of nonlinear partial differential equations
   
   Keldysh Institute preprints, 2022, 048, 36 pp.
5. Homological equation of arbitrary order and computation of the normal form of a Hamiltonian system
   
   Keldysh Institute preprints, 2022, 019, 24 pp.
6. Examples of computation of level lines of polynomials in a plane
   
   Keldysh Institute preprints, 2021, 098, 36 pp.
7. Normal form of a binary polynomial in the critical point of the second order
   
   Keldysh Institute preprints, 2021, 065, 20 pp.
8. Level lines of a polynomial in the plane
   
   Keldysh Institute preprints, 2021, 057, 24 pp.
9. Introduction to nonlinear nanlysis of algebraic equations
   
   Keldysh Institute preprints, 2020, 087, 31 pp.
10. Invariant coordinate subspaces of normal form of a system of ordinary differential equations
    
    Keldysh Institute preprints, 2020, 072, 23 pp.
11. On the structure of the Hamiltonian phase flow near symmetric periodic solution
    
    Keldysh Institute preprints, 2019, 069, 28 pp.
12. Search for periodic solutions with special symmetry in the Hill problem
    
    Mathematical Physics and Computer Simulation, 22:3 (2019),  5–25
13. Computation of generalized discriminant of a real polynomial
    
    Keldysh Institute preprints, 2017, 088, 40 pp.
14. On the structure of the resonance set of a real polynomial
    
    Chebyshevskii Sb., 17:3 (2016),  5–17
15. Global parametrizations of the certain real algebraic surface
    
    Keldysh Institute preprints, 2016, 076, 24 pp.
16. Structure of the resonance set of a real polynomial
    
    Keldysh Institute preprints, 2016, 029, 23 pp.
17. Resonance set of a polynomial and problem of formal stability
    
    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 4(35),  6–24
18. Structure of discriminant set of real polynomial
    
    Chebyshevskii Sb., 16:2 (2015),  23–34
19. Parametrization of the discriminant set of a real polynomial
    
    Keldysh Institute preprints, 2015, 076, 32 pp.
20. On investigation of the certain real algebraic surface
    
    Keldysh Institute preprints, 2014, 083, 28 pp.
21. Web of families of periodic orbits of Generalized Hill's Problem
    
    Keldysh Institute preprints, 2014, 009, 28 pp.
22. On the structure of the boundary of the set of stability of a certain multi-parameter Hamiltonian system
    
    Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2014, no. 5(24),  6–23
23. Detection of the Stability Domains of Nonlinear Hamiltonian Systems
    
    Avtomat. i Telemekh., 2013, no. 8,  47–64
24. Families of symmetric periodic solutions of the Generalized Hill's Problem
    
    Keldysh Institute preprints, 2013, 060, 24 pp.
25. Symmetric periodic solutions of the Hill's problem
    
    Keldysh Institute preprints, 2012, 052, 32 pp.
26. Non-linear stability of the Hamiltonian system on linear approximation
    
    Keldysh Institute preprints, 2012, 033, 24 pp.
27. Stability of the certain multiparameter Hamiltonian system
    
    Keldysh Institute preprints, 2011, 069, 28 pp.
28. Sets of stability of multiparameter Hamiltonian systems
    
    Keldysh Institute preprints, 2011, 042, 32 pp.
29. Symbolic dynamics and generating planar periodic orbits of the Hill’s problem
    
    Keldysh Institute preprints, 2011, 034, 31 pp.
30. Resolution of an algebraic singularity by Power Geometry algorithms
    
    Keldysh Institute preprints, 2011, 010, 30 pp.
31. Generating planar periodic orbits of the Hill’s problem
    
    Keldysh Institute preprints, 2010, 047, 24 pp.
32. Computation of the Sets of Stability in Multiparameter Problems
    
    Keldysh Institute preprints, 2010, 023, 22 pp.
33. The stability set of a gyroscopic problems
    
    Keldysh Institute preprints, 2010, 004, 30 pp.
34. An adaptive algorithm for continuation of families of symmetric periodic solutions
    
    Num. Meth. Prog., 5:1 (2004),  96–106


35. Vladimir Igorevich Parusnikov
    
    Chebyshevskii Sb., 17:1 (2016),  286–298