A note on a piecewise-linear Duffing-type system

G Tigan, A Astolfi - International Journal of Bifurcation and Chaos, 2007 - World Scientific
In [Tonnelier, 2005] it was suggested that the number of limit cycles in a piecewise-linear
system could be closely related to the number of zones, that is, the number of parts of the …

Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms

G Tigan - Chaos, Solitons & Fractals, 2007 - Elsevier
In this paper we study the existence, number and distribution of limit cycles of the perturbed
Hamiltonian system: where μ+ β= n, 0< a< b< 1, 0< ε≪ 1, u, v, λ are the real parameters and …

Detecting the limit cycles for a class of Hamiltonian systems under thirteen-order perturbed terms

G Tigan - arXiv preprint math/0512342, 2005 - arxiv.org
It this paper we study a class of perturbed Hamiltonian systems under perturbations of
thirteen order in order to detect the number of limit cycles which bifurcate from some periodic …

[PDF][PDF] On a family of Hamiltonian cubic planar differential systems

T Gheorghe - Buletinul Academiei de Ştiinţe a Republicii Moldova …, 2006 - ibn.idsi.md
A class of planar perturbed Hamiltonian systems are studied in the present work in order to
identify the limit cycles. The closed curves of the unperturbed associated Hamiltonian …

[引用][C] DETECTION FUNCTION METHOD AND ITS APPLICATION TO A PERTURBED HAMILTONIAN SYSTEM

G TIGAN