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What is Invariant Curves in Planar Polynomial Systems about?

This document presents necessary conditions for the existence of invariant algebraic curves in planar polynomial differential systems. It establishes that these conditions are derived from the cofactor values at singular points of the system and applies these findings to demonstrate the non-Liouvillian integrability of certain quadratic systems with algebraic limit cycles. The results contribute to understanding the dynamics of such systems and their integrability properties.

Author

Obi Wang

Language

EN