ON THE GLOBAL CENTER OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS AND THE RELATED PROBLEMS
Copyright policy )ON THE GLOBAL CENTER OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS AND THE RELATED PROBLEMS
Summary: In the paper we characterize planar polynomial differential systems with a global center, that is, every orbit of the system is a periodic orbit in \(\mathbb{R}^2\). Further, we give algebraic sufficient and necessary conditions for potential systems and Liénard systems which have a global center, respectively. Last we discuss some related problems.
differential systems, integrable, planar polynomials, sufficient and necessary conditions, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Periodic solutions to ordinary differential equations, global center
differential systems, integrable, planar polynomials, sufficient and necessary conditions, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Periodic solutions to ordinary differential equations, global center
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