Can I read New solutions of the Poincar\'e Center Problem in degree 3 on EtoBox?

New solutions of the Poincar\'e Center Problem in degree 3 by von Bothmer, Hans-Christian is a scholarly article available to read on EtoBox.

What is New solutions of the Poincar\'e Center Problem in degree 3 about?

Let $\omega$ be a plane autonomous system and C its configuration of algebraic integral curves. If the singularities of C are quasi homogeneous we give new conditions for existence of a Darboux integrating factor or a Darboux first integral. This is used to construct new components of the center variety in degree 3.

Author

von Bothmer, Hans-Christian

Published

2024

Language

EN