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Glutsyuk, Alexey A.

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Author ID: glutsyuk.alexey-a Recent zbMATH articles by "Glutsyuk, Alexey A."
Published as: Glutsyuk, A. A.; Glutsyuk, Alexey; Glutsyuk, A.; Glutsyuk, Alexey A.
Documents Indexed: 45 Publications since 1993, including 1 Book
Reviewing Activity: 39 Reviews

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 118 times in 43 Documents Cited by Year
A complete solution of the Jacobian problem for vector fields on the plane. Zbl 0828.34041
Glutsyuk, A. A.
11
1994
Confluence of singular points and nonlinear Stokes phenomenon. Zbl 1004.34081
Glutsyuk, A. A.
11
2001
On quadrilateral orbits in complex algebraic planar billiards. Zbl 1334.37018
Glutsyuk, Alexey
9
2014
On the adjacency quantization in an equation modeling the Josephson effect. Zbl 1370.37143
Glutsyuk, A. A.; Kleptsyn, V. A.; Filimonov, D. A.; Schurov, I. V.
9
2014
No planar billiard possesses an open set of quadrilateral trajectories. Zbl 1280.37034
Glutsyuk, Alexey; Kudryashov, Yury
7
2012
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A.
7
2016
Hyperbolicity of leaves of a generic one-dimensional holomorphic foliation on a nonsingular projective algebraic manifold. Zbl 0883.57027
Glutsyuk, A. A.
6
1996
On 4-reflective complex analytic planar billiards. Zbl 1384.37026
Glutsyuk, Alexey
6
2017
On two-dimensional polynomially integrable billiards on surfaces of constant curvature. Zbl 1400.37063
Glutsyuk, A. A.
5
2018
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108
Buchstaber, V. M.; Glutsyuk, A. A.
5
2017
On quadrilateral orbits in planar billiards. Zbl 1238.37010
Glutsyuk, A. A.; Kudryashov, Yu. G.
4
2011
On polynomially integrable planar outer billiards and curves with symmetry property. Zbl 1402.37048
Glutsyuk, A.; Shustin, E.
3
2018
Upper bounds of topology of complex polynomials in two variables. Zbl 1186.14013
Glutsyuk, A. A.
3
2005
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
3
2007
Nonuniformizable skew cylinders. A counterexample to the simultaneous uniformization problem. Zbl 0987.32005
Glutsyuk, Alexey
3
2001
On simultaneous uniformization and local nonuniformizability. Zbl 1007.32016
Glutsyuk, Alexey
3
2002
Resonant confluence of singular points and Stokes phenomena. Zbl 1084.34076
Glutsyuk, A. A.
3
2004
On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation. Zbl 1431.34060
Glutsyuk, A. A.
3
2019
On odd-periodic orbits in complex planar billiards. Zbl 1333.37009
Glutsyuk, Alexey
2
2014
A first integrability result for Miquel dynamics. Zbl 1390.37098
Glutsyuk, Alexey; Ramassamy, Sanjay
2
2018
An explicit formula for period determinant. Zbl 1140.32011
Glutsyuk, Alexey A.
2
2006
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid
2
2017
Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102
Buchstaber, V. M.; Glutsyuk, A. A.
2
2019
On density of horospheres in dynamical laminations. Zbl 1206.37014
Glutsyuk, A.
1
2010
Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane. Zbl 0996.37049
Glutsyuk, A. A.
1
1998
Codimension of the set of one-dimensional polynomial foliations on \(\mathbb C^n\) and \(\mathbb CP^n\) that do not satisfy a sufficient condition of hyperbolicity of leaves. Zbl 1038.37039
Glutsyuk, A. A.
1
1999
On convergence of generalized continued fractions and Ramanujan’s conjecture. Zbl 1094.30004
Glutsyuk, Alexey A.
1
2005
Instability of nondiscrete free subgroups in Lie groups. Zbl 1231.22008
Glutsyuk, Alexey
1
2011
A survey on minimality of horospheric laminations for rational functions. Zbl 1152.37017
Glutsyuk, Alexey
1
2007
On the monodromy group of confluent linear equations. Zbl 1099.34077
Glutsyuk, Alexey
1
2005
On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation. Zbl 1431.34060
Glutsyuk, A. A.
3
2019
Total positivity, Grassmannian and modified Bessel functions. Zbl 1427.14102
Buchstaber, V. M.; Glutsyuk, A. A.
2
2019
On two-dimensional polynomially integrable billiards on surfaces of constant curvature. Zbl 1400.37063
Glutsyuk, A. A.
5
2018
On polynomially integrable planar outer billiards and curves with symmetry property. Zbl 1402.37048
Glutsyuk, A.; Shustin, E.
3
2018
A first integrability result for Miquel dynamics. Zbl 1390.37098
Glutsyuk, Alexey; Ramassamy, Sanjay
2
2018
On 4-reflective complex analytic planar billiards. Zbl 1384.37026
Glutsyuk, Alexey
6
2017
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect. Zbl 1377.34108
Buchstaber, V. M.; Glutsyuk, A. A.
5
2017
On families of differential equations on two-torus with all phase-lock areas. Zbl 1417.37160
Glutsyuk, Alexey; Rybnikov, Leonid
2
2017
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations. Zbl 1356.33004
Buchstaber, V. M.; Glutsyuk, A. A.
7
2016
On quadrilateral orbits in complex algebraic planar billiards. Zbl 1334.37018
Glutsyuk, Alexey
9
2014
On the adjacency quantization in an equation modeling the Josephson effect. Zbl 1370.37143
Glutsyuk, A. A.; Kleptsyn, V. A.; Filimonov, D. A.; Schurov, I. V.
9
2014
On odd-periodic orbits in complex planar billiards. Zbl 1333.37009
Glutsyuk, Alexey
2
2014
No planar billiard possesses an open set of quadrilateral trajectories. Zbl 1280.37034
Glutsyuk, Alexey; Kudryashov, Yury
7
2012
On quadrilateral orbits in planar billiards. Zbl 1238.37010
Glutsyuk, A. A.; Kudryashov, Yu. G.
4
2011
Instability of nondiscrete free subgroups in Lie groups. Zbl 1231.22008
Glutsyuk, Alexey
1
2011
On density of horospheres in dynamical laminations. Zbl 1206.37014
Glutsyuk, A.
1
2010
Restricted version of the infinitesimal Hilbert 16th problem. Zbl 1134.34019
Glutsyuk, A.; Ilyashenko, Yu.
3
2007
A survey on minimality of horospheric laminations for rational functions. Zbl 1152.37017
Glutsyuk, Alexey
1
2007
An explicit formula for period determinant. Zbl 1140.32011
Glutsyuk, Alexey A.
2
2006
Upper bounds of topology of complex polynomials in two variables. Zbl 1186.14013
Glutsyuk, A. A.
3
2005
On convergence of generalized continued fractions and Ramanujan’s conjecture. Zbl 1094.30004
Glutsyuk, Alexey A.
1
2005
On the monodromy group of confluent linear equations. Zbl 1099.34077
Glutsyuk, Alexey
1
2005
Resonant confluence of singular points and Stokes phenomena. Zbl 1084.34076
Glutsyuk, A. A.
3
2004
On simultaneous uniformization and local nonuniformizability. Zbl 1007.32016
Glutsyuk, Alexey
3
2002
Confluence of singular points and nonlinear Stokes phenomenon. Zbl 1004.34081
Glutsyuk, A. A.
11
2001
Nonuniformizable skew cylinders. A counterexample to the simultaneous uniformization problem. Zbl 0987.32005
Glutsyuk, Alexey
3
2001
Codimension of the set of one-dimensional polynomial foliations on \(\mathbb C^n\) and \(\mathbb CP^n\) that do not satisfy a sufficient condition of hyperbolicity of leaves. Zbl 1038.37039
Glutsyuk, A. A.
1
1999
Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane. Zbl 0996.37049
Glutsyuk, A. A.
1
1998
Hyperbolicity of leaves of a generic one-dimensional holomorphic foliation on a nonsingular projective algebraic manifold. Zbl 0883.57027
Glutsyuk, A. A.
6
1996
A complete solution of the Jacobian problem for vector fields on the plane. Zbl 0828.34041
Glutsyuk, A. A.
11
1994

Citations by Year