Showing 2006Show all
2 papers · 1 filter
math.DS2006
Liénard's system and Smale's problem
Valery A. Gaiko
In this paper, using geometric properties of the field rotation parameters, we present a solution of Smale's Thirteenth Problem on the maximum number of limit cycles for Liénard's…
math.DS2006
Geometry of planar quadratic systems
Valery A. Gaiko
In this paper, the global qualitative analysis of planar quadratic dynamical systems is established and a new geometric approach to solving Hilbert's Sixteenth Problem in this spec…