Characterization and dynamics of certain classes of polynomial vector fields on the torus

Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45) Ordinary differential equations and systems on manifolds (34C40)

Cites Work

Unnamed Item
Unnamed Item
Invariant parallels, invariant meridians and limit cycles of polynomial vector fields on some 2-dimensional algebraic tori in \(\mathbb R^3\)
On the number of invariant conics for the polynomial vector fields defined on quadrics
Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus
Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems
Multiplicity of invariant algebraic curves in polynomial vector fields
Mathematische Probleme. Vortrag, gehalten auf dem internationalen Mathematiker-Congress zu Paris 1900.
Mémoire sur les équations différentielles algébriques du premier ordre et du premier degré.
Liouvillian integrability of some quadratic Liénard polynomial differential systems
Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\)
Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
Qualitative theory of planar differential systems
Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces
Sulla teoria di Volterra della lotta per l'esistenza.
On the polynomial vector fields on
On the invariant hyperplanes ford-dimensional polynomial vector fields
Centennial History of Hilbert's 16th Problem
Darboux theory of integrability for polynomial vector fields on 𝕊ⁿ
HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
RATIONAL FIRST INTEGRALS FOR POLYNOMIAL VECTOR FIELDS ON ALGEBRAIC HYPERSURFACES OF ℝⁿ⁺¹
A SURVEY ON THE BLOW UP TECHNIQUE
Meromorphic and formal first integrals for the Lorenz system
Polynomial Vector Fields on the Clifford Torus
Invariant hyperplane sections of vector fields on the product of spheres

This page was built for publication: Characterization and dynamics of certain classes of polynomial vector fields on the torus