On the composition conjecture for a class of rigid systems

Abstract

In this paper, we prove that for a class of rigid systems the Composition Conjecture is correct. We show that the Moments Condition is the sufficient and necessary conditions for these rigid systems to have a center at origin point. By the obtained conclusions we can derive all the focal values of these higher order polynomial differential systems and their expressions are more succinct and beautiful.

Keywords

• composition conjecture
• rigid system
• center condition
• moments condition