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25 p, 954.3 KB Polynomial Hamiltonian systems of degree 3 with nilpotent saddles / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica (Portugal))
We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x−axis having a nilpotent saddle at the origin.
2021 - 10.3934/dcdsb.2020225
Discrete and continuous dynamical systems. Series B, Vol. 26, Issue 6 (June 2021) , p. 3209-3233  
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