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系统科学与数学 2010
STABILIZATION OF EQUILIBRIA OF R(O)SSLER SYSTEM
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Abstract:
This paper deals with the problem of stabilization of equilibria of R\"ossler system. R\"ossler system has two cures of equilibria when the parameter varys. The equilibrium on the two cures may be stable or not stable. It may also be Hopf bifurcation point. We present a method which stabilizes all points on the two cures of equilibria. The existing results only ensure that the equilibria in some neighborhood of a value of the parameter are asymptotically stable.