WIAS Preprint No. 948, (2004)

Integral manifolds for slow-fast differential systems loosing their attractivity in time


  • Schneider, Klaus R.
  • Shchetinina, Ekaterina
  • Sobolev, Vladimir

2010 Mathematics Subject Classification

  • 34C45 34D15 34E15


  • integral manifolds; slow-fast systems; change of attractivity


The work is devoted to the investigation of the integral manifolds of the nonautonomous slow-fast systems, which change their attractivity in time. The method used here is based on gluing attractive and repulsive integral manifolds by using an additional function.

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