Integrable systems in the plane with center type linear part
From MaRDI portal
Publication:4311223
DOI10.4064/am-22-2-285-309zbMath0809.34002OpenAlexW946335828MaRDI QIDQ4311223
Publication date: 26 October 1994
Published in: Applicationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/219096
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items
Analytic integrability of a class of nilpotent cubic systems, On the number of algebraically independent Poincaré-Liapunov constants, On persistent centers, Algebraic families of analytic functions. I, Integrability of centers perturbed by quasi-homogeneous polynomials, Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems, Bernstein classes, The center problem for a linear center perturbed by homogeneous polynomials, A survey on the inverse integrating factor, Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\), Darboux integrability and the inverse integrating factor., Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems, Complete classification on center of cubic planar systems symmetric with respect to a straight line, Center and isochronous center at infinity for differential systems., Bifurcation of limit cycles and integrability conditions for 6-parameter families of polynomial vector fields of arbitrary degree, Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method, Polynomial first integrals of systems in the plane with center type linear part, Centers for a 6-parameter family of polynomial vector fields of arbitrary degree, Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials, On some open problems in planar differential systems and Hilbert's 16th problem, Integrable systems via polynomial inverse integrating factors, The nondegenerate center problem and the inverse integrating factor, Center conditions and integrable forms for the Poincaré problem, Polynomial inverse integrating factors for quadratic differential systems, Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere, A general class of centers for the Poincaré problem, Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial, Highest weak focus order for trigonometric Liénard equations, On the integrability of two-dimensional flows, Isochronicity into a family of time-reversible cubic vector fields