Plane polynomial vector fields with prescribed invariant curves

Author: Walcher S.

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 130, Number 3, 4 June 2000 , pp. 633-649(17)

Publisher: Royal Society of Edinburgh

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Abstract:

The main result of this paper is the determination of all plane polynomial vector fields that admit a prescribed collection of algebraic curves as invariant sets. As an application, the polynomial vector fields admitting certain types of algebraic integrating factors are characterized.

Document Type: Research article

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