Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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PERSISTENCE OF HOMOCLINIC ORBITS AFTER DISCRETIZATION OF A TWO DIMENSIONAL DEGENERATE DIFFERENTIAL SYSTEM

  • Mehidi, Noureddine (Departement de mathematiques Laboratoire de Mathematiques Appliquees Universite A. Mira de Bejaia) ;
  • Mohdeb, Nadia (Departement de mathematiques Laboratoire de Mathematiques Appliquees Universite A. Mira de Bejaia)
  • Received : 2013.08.01
  • Published : 2014.09.30
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Abstract

The aim of this work is to construct a general family of two dimensional differential systems which admits homoclinic solutions near a non-hyperbolic fixed point, such that a Jacobian matrix at this point is zero. We then discretize it by using Euler's method and look after the persistence of the homoclinic solutions in the obtained discrete system.

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References

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