Geometric Methods in Study of the Stability of Some Dynamical Systems

  title={Geometric Methods in Study of the Stability of Some Dynamical Systems},
  author={Dumitru Bala},
  • Dumitru Bala
  • Published 2009
In this paper we aim to analyse the stability of two dynamical systems given by differential equations or by systems of differential equations. The first model is a mechanical system which is described by a system of differential equations of the first degree. We study the stability of this system using the method of the Lyapunov function. The second studied model is the model of a vibrant tool machine described by a differential equation of second degree with two delay arguments. For the study… CONTINUE READING

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