qualitative theory of
differential equations;
bifurcation theory of
dynamical systems;
nonlinear analysis;
biomathematics
Main publications:
Valery A. Gaiko, Global Bifurcation Theory and Hilberts Sixteenth Problem, Mathematics and Its Applications, 562, Kluwer Academic Publishers, Boston, USA, 2003
Andrei K. Abramyan, Igor V. Andrianov,
Valery A. Gaiko (Eds), Nonlinear Dynamics of Discrete and Continuous Systems, Advanced Structured Materials, 139, Springer Nature, Basel, Switzerland, 2020
V. A. Gaĭko, “Global bifurcation analysis of the Leslie – Gower system with additive Allee effect and Holling functional response”, Computer Research and Modeling, 17:1 (2025), 125–138
2020
2.
V. A. Gaĭko, S. I. Savin, A. S. Klimchik, “Global limit cycle bifurcations of a polynomial Euler–Lagrange–Liénard system”, Computer Research and Modeling, 12:4 (2020), 693–705
L. A. Cherkas, V. A. Gaĭko, “Bifurcations of limit cycles of a quadratic system with two singular points and two parameters that rotate the field”, Differ. Uravn., 23:9 (1987), 1544–1553
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