Edit Profile (opens in new tab) Grin, Alexander A. Co-Author Distance Author ID: grin.alexander-a Published as: Grin’, A. A.; Grin, Alexander; Grin, A.; Grin, Alexander A.; Grin, A. A. more...less Homepage: https://www.linkedin.com/in/alexander-grin-793451a7 External Links: dblp Documents Indexed: 31 Publications since 1996, including 1 Book Reviewing Activity: 245 Reviews Co-Authors: 5 Co-Authors with 25 Joint Publications 70 Co-Co-Authors all top 5 Co-Authors 5 single-authored 14 Cherkas, Leonid A. 12 Schneider, Klaus R. 2 Bulgakov, V. I. 1 Kuz’mich, A. V. 1 Musafirov, Eduard Vladimirovich 1 Pranevich, Andreĭ F. 1 Rudevich, S. V. all top 5 Serials 14 Differential Equations 3 Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Computational and Applied Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 Trudy Instituta Matematiki Fields 31 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 97 times in 42 Documents Cited by ▼ Year ▼ On some classes of limit cycles of planar dynamical systems. Zbl 1157.34024 Grin, A.; Schneider, K. R. 8 2007 Dulac functions for Lienard systems. Zbl 0989.34019 Grin’, A. A.; Cherkas, L. A. 8 2000 Dulac-Cherkas functions for generalized Liénard systems. Zbl 1340.34124 Grin, A.; Schneider, K. R.; Cherkas, L. 8 2011 Extrema of the Andronov-Hopf function of a polynomial Lienard system. Zbl 1159.34321 Grin’, A. A.; Cherkas, L. A. 7 2005 Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040 Cherkas, L. A.; Grin’, A. A. 6 2011 On a Dulac function for the Kukles system. Zbl 1285.34019 Cherkas, L. A.; Grin’, A. A. 6 2010 A new approach to study limit cycles on a cylinder. Zbl 1282.34041 Cherkas, Leonid A.; Grin, Alexander A.; Schneider, Klaus R. 6 2011 Reduction to transversality of curves in the construction of a Dulac function. Zbl 1154.34321 Grin’, A. A. 5 2006 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 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 A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043 Bulgakov, V. I.; Grin’, A. A. 4 1996 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. 4 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. 3 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. 3 1997 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 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 Admissible perturbations of a generalized langford system. Zbl 1500.34032 Musafirov, Eduard; Grin, Alexander; Pranevich, Andrei 3 2022 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 Transversal curves for finding the exact number of limit cycles. Zbl 1444.34052 Grin’, A. A. 2 2020 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 Global algebraic Poincaré-Bendixson annulus for the van der Pol system. Zbl 1502.34040 Grin, A. A.; Schneider, K. R. 1 2022 Admissible perturbations of a generalized langford system. Zbl 1500.34032 Musafirov, Eduard; Grin, Alexander; Pranevich, Andrei 3 2022 Global algebraic Poincaré-Bendixson annulus for the van der Pol system. Zbl 1502.34040 Grin, A. A.; Schneider, K. R. 1 2022 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. 4 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. 8 2011 Limit cycle function of the second kind for autonomous systems on the cylinder. Zbl 1273.34040 Cherkas, L. A.; Grin’, A. A. 6 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 On a Dulac function for the Kukles system. Zbl 1285.34019 Cherkas, L. A.; Grin’, A. A. 6 2010 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 some classes of limit cycles of planar dynamical systems. Zbl 1157.34024 Grin, A.; Schneider, K. R. 8 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. 8 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. 3 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. 3 1997 A bifurcation of a structurally unstable focus of an autonomous third-order system. Zbl 0891.34043 Bulgakov, V. I.; Grin’, A. A. 4 1996 all cited Publications top 5 cited Publications all top 5 Cited by 42 Authors 15 Grin, Alexander A. 6 Cherkas, Leonid A. 6 Schneider, Klaus R. 5 Gasull, Armengol 4 Giacomini, Hector J. 4 Klimina, Lyubov’ Aleksandrovna 3 Han, Maoan 2 Yu, Pei 1 Amel’kin, Vladimir Vasilievich 1 Andreev, Alekseĭ Fedorovich 1 Bernard, Séverine 1 Boulfoul, Amel 1 César, Ténissia 1 Chen, Yufu 1 da Cruz, Leonardo Pereira Costa 1 Gaĭshun, Ivan Vasil’evich 1 García-Saldaña, Johanna D. 1 Gendelman, Oleg V. 1 Giné, Jaume 1 Grin’, Aleksandr Aleksandrovich 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 Makhlouf, Amar 1 Malysheva, O. N. 1 Mellahi, Nawal 1 Musafirov, Eduard Vladimirovich 1 Osuna, Osvaldo 1 Piétrus, Alain 1 Pranevich, Andreĭ F. 1 Romanovskiĭ, Valeriĭ Georgievich 1 Rudevich, S. V. 1 Shi, Yixia 1 Shiroky, I. B. 1 Torregrosa, Joan 1 Vargas-De-León, Cruz 1 Zhang, Lijun all top 5 Cited in 19 Serials 15 Differential Equations 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Differential Equations 3 Journal of Computer and Systems Sciences International 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Physica D 1 Applied Mathematics Letters 1 Vestnik St. Petersburg University. Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 Discrete and Continuous Dynamical Systems 1 Qualitative Theory of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Vestsi Natsyyanal’naĭ Akadèmii Navuk Belarusi. Seryya Fizika-Matèmatychnykh Navuk 1 International Journal of Biomathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation 1 Mechanics of Solids all top 5 Cited in 12 Fields 35 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-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