Construction of a stabilizing control and solution to a problem about   the center and focus for differential systems with a polynomial part on the   right side
  Stationary differential systems with polynomial right sides are considered. Necessary and sufficient conditions are formulated when a given domain is a domain of asymptotic stability and the origin of coordinates is either focus or center. The problem of construction of a stabilizing control in the form of polynomial is studied. 
Igor Prounikov
math.OC math.DS