Some applications of the euler-jacobi formula to differential equations

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The Euler-Jacobi formula gives an algebraic relation between the critical points of a vector field and their indices. Using this formula we obtain an upper bound for the number of centers that a planar polynomial differential equation can have and study the distribution of the critical points for planar quadratic and cubic differential equations. © 1993 American Mathematical Society.
Original languageEnglish
Pages (from-to)151-163
JournalProceedings of the American Mathematical Society
Issue number1
Publication statusPublished - 1 Jan 1993


  • Center point
  • Critical point
  • Differential equation
  • Euler Jacobi formula
  • Graph


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