Nilpotent global centers of generalized polynomial Kukles system with degree three

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

Cites Work

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Solution of the center-focus problem for a nine-parameter cubic system
Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point
Algorithmic derivation of isochronicity conditions
Limit cycles of differential equations
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Polynomial differential systems with even degree have no global centers
Global centers of the generalized polynomial Liénard differential systems
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Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
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NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (II)
Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities
Polynomial Liénard systems with a nilpotent global center
Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center
Kukles systems of degree three with global centers
A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point
Reversible global centres with quintic homogeneous nonlinearities
On the global center of planar polynomial differential systems and the related problems

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