Edit Profile Grin, Alexander A. Compute Distance To: Compute Author ID: 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 Co-Authors 5 single-authored 14 Cherkas, Leonid A. 9 Schneider, Klaus R. 2 Bulgakov, V. I. 1 Kuz’mich, A. V. 1 Rudevich, S. V. all top 5 Serials 13 Differential Equations 3 Differential Equations 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Journal of Computational and Applied Mathematics 1 Trudy Instituta Matematiki Fields 27 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications 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 1159.34321Grin’, A. A.; Cherkas, L. A. 7 2005 Dulac functions for Lienard systems. Zbl 0989.34019Grin’, A. A.; Cherkas, L. A. 7 2000 A new approach to study limit cycles on a cylinder. Zbl 1282.34041Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R. 6 2011 On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024Grin, A.; Schneider, K. R. 6 2007 Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124Grin, A.; Schneider, K. R.; Cherkas, L. 5 2011 Reduction to transversality of curves in the construction of a Dulac function. Zbl 1154.34321Grin’, A. A. 5 2006 Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040Cherkas, 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 1210.34043Cherkas, L. A.; Grin’, A. A. 4 2010 On the construction of a class of generalized Kukles systems having at most one limit cycle. Zbl 1314.34063Grin, A. A.; Schneider, K. R. 3 2013 Constructive methods for investigating limit cycles of autonomous systems of second order (numerical-algebraic approach). Zbl 1281.34001Cherkas, L. A.; Grin’, A. A.; Bulgakov, V. I. 3 2013 On the approximation of the limit cycles function. Zbl 1182.34043Cherkas, 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 1135.34026Cherkas, L. A.; Grin’, A. A. 3 2006 A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043Bulgakov, 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 07082624Grin’, 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 1372.34064Grin’, 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 1357.34063Grin, Alexander; Schneider, Klaus R. 2 2016 On a Dulac function for the Kukles system. Zbl 1285.34019Cherkas, L. A.; Grin’, A. A. 2 2010 Algebraic aspects of finding the Dulac function for polynomial autonomous systems in the plane. Zbl 1092.34520Cherkas, 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 0955.34017Cherkas, 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 1262.34034Cherkas, 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 0929.34027Cherkas, 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 07082624Grin’, 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 1372.34064Grin’, 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 1357.34063Grin, Alexander; Schneider, Klaus R. 2 2016 On the construction of a class of generalized Kukles systems having at most one limit cycle. Zbl 1314.34063Grin, A. A.; Schneider, K. R. 3 2013 Constructive methods for investigating limit cycles of autonomous systems of second order (numerical-algebraic approach). Zbl 1281.34001Cherkas, 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 1262.34034Cherkas, Leonid; Grin, Alexander; Schneider, Klaus R. 1 2013 A new approach to study limit cycles on a cylinder. Zbl 1282.34041Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R. 6 2011 Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124Grin, A.; Schneider, K. R.; Cherkas, L. 5 2011 Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040Cherkas, 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 1210.34043Cherkas, L. A.; Grin’, A. A. 4 2010 On a Dulac function for the Kukles system. Zbl 1285.34019Cherkas, L. A.; Grin’, A. A. 2 2010 On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024Grin, A.; Schneider, K. R. 6 2007 On the approximation of the limit cycles function. Zbl 1182.34043Cherkas, L.; Grin, A.; Schneider, K. R. 3 2007 Reduction to transversality of curves in the construction of a Dulac function. Zbl 1154.34321Grin’, A. A. 5 2006 Spline approximations in the problem of estimating the number of limit cycles of autonomous systems on the plane. Zbl 1135.34026Cherkas, L. A.; Grin’, A. A. 3 2006 Extrema of the Andronov-Hopf function of a polynomial Lienard system. Zbl 1159.34321Grin’, A. A.; Cherkas, L. A. 7 2005 Algebraic aspects of finding the Dulac function for polynomial autonomous systems in the plane. Zbl 1092.34520Cherkas, L. A.; Grin’, A. A. 2 2001 Dulac functions for Lienard systems. Zbl 0989.34019Grin’, 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 0955.34017Cherkas, 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 0929.34027Cherkas, L. A.; Grin’, A. A. 1 1997 A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043Bulgakov, V. I.; Grin’, A. A. 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 30 Authors 13 Grin, Alexander A. 6 Cherkas, Leonid A. 4 Schneider, Klaus R. 3 Yu, Pei 2 Gasull, Armengol 2 Giacomini, Hector J. 2 Han, Maoan 2 Klimina, Lyubov’ Aleksandrovna 1 Amel’kin, Vladimir Vasilievich 1 Andreev, Alekseĭ Fedorovich 1 Bernard, Séverine 1 Cesar, Ténissia 1 Chen, Yufu 1 Gaĭshun, Ivan Vasil’vich 1 García-Saldaña, Johanna D. 1 Giné, Jaume 1 Gromak, Valeriĭ Ivanovich 1 Guo, Laigang 1 Hu, Zhaoping 1 Il’in, Vladimir Aleksandrovich 1 Kuz’mich, A. V. 1 Leonov, Gennadiĭ Alekseevich 1 Li, Feng 1 Liu, Yirong 1 Malysheva, O. N. 1 Osuna, Osvaldo 1 Piétrus, Alain 1 Romanovski, Valery G. 1 Rudevich, S. V. 1 Vargas-De-León, Cruz all top 5 Cited in 12 Serials 13 Differential Equations 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Computer and Systems Sciences International 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Physica D 1 Applied Mathematics Letters 1 Vestnik St. Petersburg University. Mathematics 1 Discrete and Continuous Dynamical Systems 1 Qualitative Theory of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 International Journal of Biomathematics all top 5 Cited in 10 Fields 24 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year