Global phase portraits of uniform isochronous centers system of degree six with polynomial commutator

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

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Centers and limit cycles of polynomial differential systems of degree \(4\) via averaging theory
Uniform isochronous cubic and quartic centers: revisited
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
Global phase portraits of Kukles differential systems with homogeneous polynomial nonlinearities of degree 5 having a center
Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities
Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
Conditions for a centre in a simple class of cubic systems
Linearization of isochronous centers
Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the \(y\)-axis
\(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields
The centers and their cyclicity for a class of polynomial differential systems of degree 7
Phase portraits of uniform isochronous quartic centers
Qualitative theory of planar differential systems
Geometry of the uniformly isochronous centers with polynomial commutator
Global phase portraits of Kukles differential systems with homogeneous polynomial nonlinearities of degree 6 having a center and their small limit cycles
Normal forms and global phase portraits of quadratic and cubic integrable vector fields having two nonconcentric circles as invariant algebraic curves
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