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Author ID: gaiko.valery-a Recent zbMATH articles by "Gaiko, Valery A."
Published as: Gaiko, Valery A.; Gaiko, V. A.; Gaiko, Valery; Gaĭko, V. A.

Publications by Year

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 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

Citations by Year