On plane polynomial vector fields and the Poincare problem
In this paper we address the Poincare problem, on plane polynomial vector fields, under some conditions on the nature of the singularities of invariant curves. Our main idea consists in transforming a given vector field of degree $m$ into another one of degree at most $m+1$ having its invariant curv...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/37/abstr.html |