1 citations · 1 across the 11 of their papers we have counts for
11 papers
Limit cycle bifurcations of a reduced Topp system
Valery A. Gaiko
In this paper, we carry out a global qualitative analysis of a reduced planar quartic Topp system which models the dynamics of diabetes. In particular, studying global bifurcations…
Global bifurcations of limit cycles in the Kukles cubic system
Valery A. Gaiko
In this paper, using our bifurcational geometric approach, we solve the problem on the maximum number and distribution of limit cycles in the Kukles system representing a planar po…
Global bifurcations of limit cycles in a Holling-type dynamical system
Valery A. Gaiko
In this paper, we complete the global qualitative analysis of a quartic family of planar vector fields corresponding to a rational Holling-type dynamical system which models the dy…
A bifurcational geometric approach to the problem of chaos transition in the classical Lorenz system
Valery A. Gaiko
The classical Lorenz system is considered. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor i…
The general Liénard polynomial system
Valery A. Gaiko
In this paper, applying a canonical system with field rotation parameters and using geometric properties of the spirals filling the interior and exterior domains of limit cycles, w…
Global bifurcations of multiple limit cycles in the FitzHugh-Nagumo system
Valery A. Gaiko
In this paper, we complete the global qualitative analysis of the well-known FitzHugh-Nagumo neuronal model. In particular, studying global limit cycle bifurcations and applying th…