Abstract
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 language | English |
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Pages (from-to) | 151-163 |
Journal | Proceedings of the American Mathematical Society |
Volume | 118 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 1993 |
Keywords
- Center point
- Critical point
- Differential equation
- Euler Jacobi formula
- Graph