Darbouxian first integrals and invariants for real quadratic systems having an invariant conic
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Publication:4465564
DOI10.1088/0305-4470/35/3/309zbMath1040.34038OpenAlexW2057068539MaRDI QIDQ4465564
Publication date: 9 June 2004
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/35/3/309
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34)
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Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials ⋮ Quadratic differential systems with complex conjugate invariant lines meeting at a finite point ⋮ Geometric analysis of quadratic differential systems with invariant ellipses ⋮ Quadratic systems with an invariant conic having Darboux invariants ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Unnamed Item ⋮ Darboux invariants for planar polynomial differential systems having an invariant conic ⋮ Polynomial differential systems having a given Darbouxian first integral ⋮ Darboux integrability and reversible quadratic vector fields ⋮ Polynomial inverse integrating factors for quadratic differential systems ⋮ Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point ⋮ Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants ⋮ Liouvillian first integrals for the planar Lotka-Volterra system ⋮ Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces
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