On the number of invariant straight lines for polynomial differential systems

From MaRDI portal
Publication:1306195

DOI10.2140/pjm.1998.184.207zbMath0930.34022OpenAlexW1990139562WikidataQ56442899 ScholiaQ56442899MaRDI QIDQ1306195

Joan C. Artés, Branko Grünbaum, Jaume Llibre

Publication date: 9 February 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1998.184.207




Related Items (25)

Planar quadratic vector fields with invariant lines of total multiplicity at least fiveA cubic Kolmogorov system with six limit cyclesFirst integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight linesDarboux theory of integrability for polynomial vector fields on 𝕊nInvariant parallels, invariant meridians and limit cycles of polynomial vector fields on some 2-dimensional algebraic tori in \(\mathbb R^3\)On foliations of the real projective plane defined by decomposable pencils of cubicsUnnamed ItemOn the number of invariant conics for the polynomial vector fields defined on quadricsNonexistence of invariant manifolds in fractional-order dynamical systemsGlobal classification of the planar Lotka-Volterra differential systems according to their configurations of invariant straight linesLimit cycles, invariant meridians and parallels for polynomial vector fields on the torusInvariant hyperplane sections of vector fields on the product of spheresPolynomial first integrals of quadratic systems.Planar quadratic differential systems with invariant straight lines of total multiplicity fourThe full study of planar quadratic differential systems possessing a line of singularities at infinityOn invariant line arrangementsPlanar cubic polynomial differential systems with the maximum number of invariant straight linesVector fields, invariant varieties and linear systems.Solution of the problem of the centre for a cubic differential system with three invariant straight linesInvariant circles for homogeneous polynomial vector fields on the 2-dimensional sphereUnnamed ItemIntegrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicityInvariant hyperplanes and Darboux integrability for \(d\)-dimensional polynomial differential systemsPolynomial Vector Fields on the Clifford TorusCubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities




This page was built for publication: On the number of invariant straight lines for polynomial differential systems