Some applications of the Euler-Jacobi formula to differential equations
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- by Anna Cima, Armengol Gasull and Francesc Mañosas PDF
- Proc. Amer. Math. Soc. 118 (1993), 151-163 Request permission
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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 151-163
- MSC: Primary 58F21; Secondary 34C05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1150647-9
- MathSciNet review: 1150647