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reza
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two vector feilds are cojugate but not take orbits

let X and Y be C^1 vector feilds on R^m.suppose that 0 is an attracting hyperbolic singularity for X and Y.show that there exists a homemorphism h of a neighbourhood of origin which conjugate the diffmorphisms X1 and Y1 but does not take orbits of X to orbits of Y

reza
  • 9
  • 6