Edit Profile (opens in new tab) Gaiko, Valery A. Co-Author Distance Author ID: gaiko.valery-a Published as: Gaiko, Valery A.; Gaiko, V. A.; Gaiko, Valery; Gaĭko, V. A. more...less Documents Indexed: 44 Publications since 1995, including 1 Book and 5 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 232 Reviews Co-Authors: 7 Co-Authors with 10 Joint Publications 348 Co-Co-Authors all top 5 Co-Authors 35 single-authored 4 van Horssen, Wilhem Teunis 2 Broer, Henk W. 2 Vuik, Cornelis 1 Abramian, Andrei K. 1 Andrianov, Igor Vasil’evich 1 Botelho, Fernanda 1 Sterk, Alef E. all top 5 Serials 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Sciences (New York) 4 International Journal of Dynamical Systems and Differential Equations 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics Letters 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Discrete and Continuous Dynamical Systems 1 Functional Differential Equations 1 Differential Equations and Dynamical Systems 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 1 Dinamicheskie Sistemy (Simferopol’) 1 Naukovyĭ Visnyk Chernivets’kogo Universytetu. Matematyka 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Cubo 1 Mathematics and its Applications (Dordrecht) 1 Advances in Dynamical Systems and Applications 1 Journal of Nonlinear Science and Applications 1 Advanced Structured Materials 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 43 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 140 times in 56 Documents Cited by ▼ Year ▼ Global bifurcation theory and Hilbert’s sixteenth problem. Zbl 1156.34316 Gaiko, Valery A. 31 2003 Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058 Gaiko, Valery A.; Vuik, Cornelis 10 2018 Limit cycles of Liénard-type dynamical systems. Zbl 1163.34336 Gaiko, Valery A. 8 2008 On the geometry of polynomial dynamical systems. Zbl 1190.37041 Gaiko, V. A. 7 2009 Qualitative theory of two-dimensional polynomial dynamical systems: Problems, approaches, conjectures. Zbl 0955.34019 Gaiko, Valery 7 1997 Hilbert’s sixteenth problem and global bifurcations of limit cycles. Zbl 1042.34530 Gaiko, Valery A. 7 2001 The applied geometry of a general Liénard polynomial system. Zbl 1264.34060 Gaiko, Valery A. 6 2012 Global bifurcations of limit and separatrix cycles in a generalized Liénard system. Zbl 1082.34035 Gaiko, Valery A.; van Horssen, Wim T. 6 2004 Limit cycles of quadratic systems. Zbl 1171.34312 Gaiko, Valery A. 6 2008 On limit cycles surrounding a singular point. Zbl 1278.34030 Gaiko, Valery A. 6 2012 Limit cycle bifurcations of a general Liénard system with polynomial restoring and damping functions. Zbl 1266.34050 Gaiko, Valery A. 6 2012 Multiple limit cycle bifurcations of the FitzHugh-Nagumo neuronal model. Zbl 1247.34043 Gaiko, Valery A. 5 2011 Global qualitative analysis of a quartic ecological model. Zbl 1364.34070 Broer, Henk W.; Gaiko, Valery A. 5 2010 Wintner-Perko termination principle, parameters rotating a field, and limit-cycle problem. Zbl 1093.37006 Gaiko, V. A. 5 2005 A piecewise linear dynamical system with two dropping sections. Zbl 1168.34332 Gaiko, Valery A.; Van Horssen, Wim T. 4 2009 Global bifurcation analysis of the Kukles cubic system. Zbl 1442.34069 Gaiko, Valery A. 4 2018 A quadratic system with two parallel straight-line-isoclines. Zbl 1183.34046 Gaiko, Valery A. 3 2009 Global analysis of planar neural networks. Zbl 1102.34018 Botelho, Fernanda; Gaiko, Valery A. 3 2006 The geometry of limit cycle bifurcations in polynomial dynamical systems. Zbl 1306.34048 Gaiko, Valery A. 3 2011 Global qualitative analysis of a Holling-type system. Zbl 1442.37097 Gaiko, Valery A. 3 2016 Global bifurcation analysis of polynomial dynamical systems. Zbl 1497.34055 Gaiko, Valery A. 2 2021 Global analysis of a piecewise linear Liénard-type dynamical system. Zbl 1198.34045 Gaiko, V. A.; van Horssen, W. T. 1 2009 Bifurcation of limit cycles and classification of separatrix cycles of two-dimensional polynomial dynamical systems. Zbl 0881.34045 Gajko, V. A. 1 1995 Nonlinear dynamics of discrete and continuous systems. Zbl 1475.37004 1 2021 Global bifurcations of limit cycles in an endocrine system model. Zbl 1454.34050 Gaiko, Valery A. 1 2020 Global bifurcation analysis of polynomial dynamical systems. Zbl 1497.34055 Gaiko, Valery A. 2 2021 Nonlinear dynamics of discrete and continuous systems. Zbl 1475.37004 1 2021 Global bifurcations of limit cycles in an endocrine system model. Zbl 1454.34050 Gaiko, Valery A. 1 2020 Global dynamics in the Leslie-Gower model with the Allee effect. Zbl 1404.34058 Gaiko, Valery A.; Vuik, Cornelis 10 2018 Global bifurcation analysis of the Kukles cubic system. Zbl 1442.34069 Gaiko, Valery A. 4 2018 Global qualitative analysis of a Holling-type system. Zbl 1442.37097 Gaiko, Valery A. 3 2016 The applied geometry of a general Liénard polynomial system. Zbl 1264.34060 Gaiko, Valery A. 6 2012 On limit cycles surrounding a singular point. Zbl 1278.34030 Gaiko, Valery A. 6 2012 Limit cycle bifurcations of a general Liénard system with polynomial restoring and damping functions. Zbl 1266.34050 Gaiko, Valery A. 6 2012 Multiple limit cycle bifurcations of the FitzHugh-Nagumo neuronal model. Zbl 1247.34043 Gaiko, Valery A. 5 2011 The geometry of limit cycle bifurcations in polynomial dynamical systems. Zbl 1306.34048 Gaiko, Valery A. 3 2011 Global qualitative analysis of a quartic ecological model. Zbl 1364.34070 Broer, Henk W.; Gaiko, Valery A. 5 2010 On the geometry of polynomial dynamical systems. Zbl 1190.37041 Gaiko, V. A. 7 2009 A piecewise linear dynamical system with two dropping sections. Zbl 1168.34332 Gaiko, Valery A.; Van Horssen, Wim T. 4 2009 A quadratic system with two parallel straight-line-isoclines. Zbl 1183.34046 Gaiko, Valery A. 3 2009 Global analysis of a piecewise linear Liénard-type dynamical system. Zbl 1198.34045 Gaiko, V. A.; van Horssen, W. T. 1 2009 Limit cycles of Liénard-type dynamical systems. Zbl 1163.34336 Gaiko, Valery A. 8 2008 Limit cycles of quadratic systems. Zbl 1171.34312 Gaiko, Valery A. 6 2008 Global analysis of planar neural networks. Zbl 1102.34018 Botelho, Fernanda; Gaiko, Valery A. 3 2006 Wintner-Perko termination principle, parameters rotating a field, and limit-cycle problem. Zbl 1093.37006 Gaiko, V. A. 5 2005 Global bifurcations of limit and separatrix cycles in a generalized Liénard system. Zbl 1082.34035 Gaiko, Valery A.; van Horssen, Wim T. 6 2004 Global bifurcation theory and Hilbert’s sixteenth problem. Zbl 1156.34316 Gaiko, Valery A. 31 2003 Hilbert’s sixteenth problem and global bifurcations of limit cycles. Zbl 1042.34530 Gaiko, Valery A. 7 2001 Qualitative theory of two-dimensional polynomial dynamical systems: Problems, approaches, conjectures. Zbl 0955.34019 Gaiko, Valery 7 1997 Bifurcation of limit cycles and classification of separatrix cycles of two-dimensional polynomial dynamical systems. Zbl 0881.34045 Gajko, V. A. 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 17 Gaiko, Valery A. 12 González-Olivares, Eduardo 11 Rojas-Palma, Alejandro 5 Gonzalez-Yañez, Betsabe 4 Arancibia-Ibarra, Claudio 4 Flores, José D. 3 Huan, Songmei 3 Yang, Xiaosong 2 Broer, Henk W. 2 Chen, Fengde 2 Gangopadhyay, Gautam 2 Li, Zhong 2 Mena-Lorca, Jaime 2 Ray, Deb Shankar 2 Saha, Sandip K. 2 van Horssen, Wilhem Teunis 1 Abdullah Qadha, Sarah 1 Bi, Qinsheng 1 Botelho, Fernanda 1 Cabrera-Villegas, Javier 1 Challamel, Noël 1 Chen, Haibo 1 Chen, Lijuan 1 Chen, Shuang 1 Chen, Yuming 1 Chiel, Hillel J. 1 Córdova-Lepe, Fernando 1 Dai, Yunxian 1 dell’Isola, Francesco 1 Dias, Fabio Scalco 1 Erban, Radek 1 Feng, Gang 1 Jost, Jürgen 1 Li, Ji 1 Li, Jibin 1 Li, Ke 1 Li, Shimin 1 Lin, Bingwen 1 Lin, Yiping 1 Liu, Tingting 1 Mello, Luis Fernando O. 1 Meneses-Alcay, Héctor 1 Mosquera-Aguilar, Adolfo 1 Nyamoradi, Nemat 1 Park, Youngmin 1 Pettet, Graeme John 1 Plesa, Tomislav 1 Qadha, Muneera Abdullah 1 Qian, Youhua 1 Qiao, Yuanhua 1 Ramos-Jiliberto, Rodrigo 1 Ruta, Giuseppe Claudio 1 Shang, Zuchong 1 Shaw, Kendrick M. 1 Sterk, Alef E. 1 Sugie, Jitsuro 1 Sun, Ji Tao 1 Tadé, Moses O. 1 Thomas, Peter J. 1 Tian, Yuchu 1 Tintinago-Ruíz, Paulo C. 1 Valenzuela-Figueroa, Sebastián 1 van Heijster, Peter 1 Vejchodský, Tomáš 1 Vilches, Karina 1 Vuik, Cornelis 1 Wang, Chien-Ming 1 Wang, Shuangte 1 Wu, Kuilin 1 Yamakou, Marius E. 1 Yu, Hengguo 1 Zang, Hong 1 Zangeneh, Hamid R. Z. 1 Zhang, Ran 1 Zhang, Tonghua 1 Zhang, Yu 1 Zhang, Zhengdi 1 Zhao, Huitao 1 Zhu, Zhenliang all top 5 Cited in 34 Serials 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Sciences (New York) 2 Journal of Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Mathematical Biosciences and Engineering 1 Computers & Mathematics with Applications 1 International Journal of Systems Science 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Complexity 1 Mathematical Problems in Engineering 1 Functional Differential Equations 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Journal of Biological Systems 1 Qualitative Theory of Dynamical Systems 1 Revista de Matemática: Teoría y Aplicaciones 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Advances in Difference Equations 1 Mathematical Modelling of Natural Phenomena 1 Journal of Mathematics 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 10 Fields 49 Ordinary differential equations (34-XX) 26 Biology and other natural sciences (92-XX) 14 Dynamical systems and ergodic theory (37-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year