EuDML | Browse

Page 1

Displaying 1 – 4 of 4

Period function's convexity for Hamiltonian centers with separable variables

M. Sabatini (2005)

Annales Polonici Mathematici

A convexity theorem for the period function T of Hamiltonian systems with separable variables is proved. We are interested in systems with non-monotone T. This result is applied to proving the uniqueness of critical orbits for second order ODE's.

Periodic solutions of polynomial non-autonomous differential equations.

Alwash, Mohamad A.M. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Polynomial systems: a lower bound for the weakened 16th Hilbert problem.

Chengzhi Li, Weigu Li, Jaume Llibre, Zhifen Zhang (2001)

Extracta Mathematicae

In this paper we provide the greatest lower bound about the number of (non-infinitesimal) limit cycles surrounding a unique singular point for a planar polynomial differential system of arbitrary degree.

Pseudo-abelian integrals on slow-fast Darboux systems

Marcin Bobieński, Pavao Mardešić, Dmitry Novikov (2013)

Annales de l’institut Fourier

We study pseudo-abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

Displaying 1 – 4 of 4

Period function's convexity for Hamiltonian centers with separable variables

Periodic solutions of polynomial non-autonomous differential equations.

Polynomial systems: a lower bound for the weakened 16th Hilbert problem.

Pseudo-abelian integrals on slow-fast Darboux systems

Currently displaying 1 – 4 of 4