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Grin, Alexander A.

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Author ID: grin.alexander-a Recent zbMATH articles by "Grin, Alexander A."
Published as: Grin’, A. A.; Grin, A.; Grin, A. A.; Grin, Alexander; Grin, Alexander A.
Homepage: https://www.linkedin.com/in/alexander-grin-793451a7
External Links: dblp
Documents Indexed: 27 Publications since 1996, including 1 Book
Reviewing Activity: 221 Reviews

Publications by Year

Citations contained in zbMATH

21 Publications have been cited 73 times in 29 Documents Cited by Year
Extrema of the Andronov-Hopf function of a polynomial Lienard system. Zbl 1159.34321
Grin’, A. A.; Cherkas, L. A.
7
2005
Dulac functions for Lienard systems. Zbl 0989.34019
Grin’, A. A.; Cherkas, L. A.
7
2000
A new approach to study limit cycles on a cylinder. Zbl 1282.34041
Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R.
6
2011
On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024
Grin, A.; Schneider, K. R.
6
2007
Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124
Grin, A.; Schneider, K. R.; Cherkas, L.
5
2011
Reduction to transversality of curves in the construction of a Dulac function. Zbl 1154.34321
Grin’, A. A.
5
2006
Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040
Cherkas, L. A.; Grin’, A. A.
4
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.
4
2010
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.
3
2013
Constructive methods for investigating limit cycles of autonomous systems of second order (numerical-algebraic approach). Zbl 1281.34001
Cherkas, L. A.; Grin’, A. A.; Bulgakov, V. I.
3
2013
On the approximation of the limit cycles function. Zbl 1182.34043
Cherkas, L.; Grin, A.; Schneider, K. R.
3
2007
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
A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043
Bulgakov, V. I.; Grin’, A. A.
3
1996
Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder. Zbl 07082624
Grin’, A. A.; Rudevich, S. V.
2
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 a Dulac function for the Kukles system. Zbl 1285.34019
Cherkas, L. A.; Grin’, A. A.
2
2010
Algebraic aspects of finding the Dulac function for polynomial autonomous systems in the plane. Zbl 1092.34520
Cherkas, L. A.; Grin’, A. A.
2
2001
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
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 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
Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder. Zbl 07082624
Grin’, A. A.; Rudevich, S. V.
2
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.
3
2013
Constructive methods for investigating limit cycles of autonomous systems of second order (numerical-algebraic approach). 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
A new approach to study limit cycles on a cylinder. Zbl 1282.34041
Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R.
6
2011
Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124
Grin, A.; Schneider, K. R.; Cherkas, L.
5
2011
Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040
Cherkas, L. A.; Grin’, A. A.
4
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.
4
2010
On a Dulac function for the Kukles system. Zbl 1285.34019
Cherkas, L. A.; Grin’, A. A.
2
2010
On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024
Grin, A.; Schneider, K. R.
6
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.
2
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