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Author ID: grin.alexander-a Recent zbMATH articles by "Grin, Alexander A."
Published as: Grin’, A. A.; Grin, Alexander; Grin, A.; Grin, Alexander A.; Grin, A. A.
Homepage: https://www.linkedin.com/in/alexander-grin-793451a7
External Links: dblp
Documents Indexed: 29 Publications since 1996, including 1 Book
Reviewing Activity: 237 Reviews
Co-Authors: 7 Co-Authors with 24 Joint Publications
71 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 86 times in 38 Documents Cited by Year
Dulac functions for Lienard systems. Zbl 0989.34019
Grin’, A. A.; Cherkas, L. A.
7
2000
Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124
Grin, A.; Schneider, K. R.; Cherkas, L.
7
2011
Extrema of the Andronov-Hopf function of a polynomial Lienard system. Zbl 1159.34321
Grin’, A. A.; Cherkas, L. A.
7
2005
On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024
Grin, A.; Schneider, K. R.
7
2007
A new approach to study limit cycles on a cylinder. Zbl 1282.34041
Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R.
6
2011
Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040
Cherkas, L. A.; Grin’, A. A.
5
2011
Bendixson-Dulac criterion and reduction to global uniqueness in the problem of estimating the number of limit cycles. Zbl 1210.34043
Cherkas, L. A.; Grin’, A. A.
5
2010
Reduction to transversality of curves in the construction of a Dulac function. Zbl 1154.34321
Grin’, A. A.
5
2006
Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder. Zbl 1467.34035
Grin’, A. A.; Rudevich, S. V.
5
2019
On the construction of a class of generalized Kukles systems having at most one limit cycle. Zbl 1314.34063
Grin, A. A.; Schneider, K. R.
4
2013
Algebraic aspects of finding the Dulac function for polynomial autonomous systems in the plane. Zbl 1092.34520
Cherkas, L. A.; Grin’, A. A.
3
2001
On a Dulac function for the Kukles system. Zbl 1285.34019
Cherkas, L. A.; Grin’, A. A.
3
2010
Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the plane. Zbl 1135.34026
Cherkas, L. A.; Grin’, A. A.
3
2006
On the approximation of the limit cycles function. Zbl 1182.34043
Cherkas, L.; Grin, A.; Schneider, K. R.
3
2007
A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043
Bulgakov, V. I.; Grin’, A. A.
3
1996
Constructive methods for investigating limit cycles of autonomous systems of second order (numerical-algebraic approach). (Конструктивные методы исследования предельных циклов автономных систем второго порядка (численно-алгебраический подход).) Zbl 1281.34001
Cherkas, L. A.; Grin’, A. A.; Bulgakov, V. I.
3
2013
A Dulac function in a half-plane in the form of second-order polynomial for a quadratic system. Zbl 0955.34017
Cherkas, L. A.; Grin’, A. A.
2
1998
Transversal curves for finding the exact number of limit cycles. Zbl 1444.34052
Grin’, A. A.
2
2020
Dulac-Cherkas criterion for exact estimation of the number of limit cycles of autonomous systems on a plane. Zbl 1372.34064
Grin’, A. A.; Kuz’mich, A. V.
2
2017
Study of the bifurcation of a multiple limit cycle of the second kind by means of a Dulac-Cherkas function: a case study. Zbl 1357.34063
Grin, Alexander; Schneider, Klaus R.
2
2016
Dulac function in the form of a second-degree polynomial for a cubic system on a plane. Zbl 0929.34027
Cherkas, L. A.; Grin’, A. A.
1
1997
On the construction of bifurcation curves related to limit cycles of multiplicity three for planar vector fields. Zbl 1262.34034
Cherkas, Leonid; Grin, Alexander; Schneider, Klaus R.
1
2013
Transversal curves for finding the exact number of limit cycles. Zbl 1444.34052
Grin’, A. A.
2
2020
Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder. Zbl 1467.34035
Grin’, A. A.; Rudevich, S. V.
5
2019
Dulac-Cherkas criterion for exact estimation of the number of limit cycles of autonomous systems on a plane. Zbl 1372.34064
Grin’, A. A.; Kuz’mich, A. V.
2
2017
Study of the bifurcation of a multiple limit cycle of the second kind by means of a Dulac-Cherkas function: a case study. Zbl 1357.34063
Grin, Alexander; Schneider, Klaus R.
2
2016
On the construction of a class of generalized Kukles systems having at most one limit cycle. Zbl 1314.34063
Grin, A. A.; Schneider, K. R.
4
2013
Constructive methods for investigating limit cycles of autonomous systems of second order (numerical-algebraic approach). (Конструктивные методы исследования предельных циклов автономных систем второго порядка (численно-алгебраический подход).) Zbl 1281.34001
Cherkas, L. A.; Grin’, A. A.; Bulgakov, V. I.
3
2013
On the construction of bifurcation curves related to limit cycles of multiplicity three for planar vector fields. Zbl 1262.34034
Cherkas, Leonid; Grin, Alexander; Schneider, Klaus R.
1
2013
Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124
Grin, A.; Schneider, K. R.; Cherkas, L.
7
2011
A new approach to study limit cycles on a cylinder. Zbl 1282.34041
Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R.
6
2011
Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040
Cherkas, L. A.; Grin’, A. A.
5
2011
Bendixson-Dulac criterion and reduction to global uniqueness in the problem of estimating the number of limit cycles. Zbl 1210.34043
Cherkas, L. A.; Grin’, A. A.
5
2010
On a Dulac function for the Kukles system. Zbl 1285.34019
Cherkas, L. A.; Grin’, A. A.
3
2010
On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024
Grin, A.; Schneider, K. R.
7
2007
On the approximation of the limit cycles function. Zbl 1182.34043
Cherkas, L.; Grin, A.; Schneider, K. R.
3
2007
Reduction to transversality of curves in the construction of a Dulac function. Zbl 1154.34321
Grin’, A. A.
5
2006
Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the plane. Zbl 1135.34026
Cherkas, L. A.; Grin’, A. A.
3
2006
Extrema of the Andronov-Hopf function of a polynomial Lienard system. Zbl 1159.34321
Grin’, A. A.; Cherkas, L. A.
7
2005
Algebraic aspects of finding the Dulac function for polynomial autonomous systems in the plane. Zbl 1092.34520
Cherkas, L. A.; Grin’, A. A.
3
2001
Dulac functions for Lienard systems. Zbl 0989.34019
Grin’, A. A.; Cherkas, L. A.
7
2000
A Dulac function in a half-plane in the form of second-order polynomial for a quadratic system. Zbl 0955.34017
Cherkas, L. A.; Grin’, A. A.
2
1998
Dulac function in the form of a second-degree polynomial for a cubic system on a plane. Zbl 0929.34027
Cherkas, L. A.; Grin’, A. A.
1
1997
A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043
Bulgakov, V. I.; Grin’, A. A.
3
1996

Citations by Year