Partial Characterization of the Global Attractor of the Equation ẋ ( t ) = −

نویسندگان

  • Cosme Duque
  • Marcos Lizana
  • C. Duque
  • M. Lizana
  • J. Uzcátegui
چکیده

The main goal of this paper is to prove that the global atractor of the equation ẋ(t) = −kx(t)+β tanh(x(t−r)) is an equilibrium point for any β such that |β| < k. Furthermore, we exhibit numerical evidences that the trivial solution is global asymptotically stable in all the region of the parameters where the equilibrium is local asymptotically stable.

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تاریخ انتشار 2008